Preprints

2023

J. Sogn, and S. Takacs.
Isogeometric Tearing and Interconnecting Solvers for Linearized Elasticity in multi-patch Isogeometric Analysis.
May 2023.
arXiv:2305.04975
V. Bosboom, H. Egger, M. Schlottbom.
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force.
April 2023
arXiv:2304.01937

2022

A. Brunk, H. Egger, T. D. Oyedeji, Y. Yang, B.-X. Xu.
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling.
November 2022
arXiv:2211.07153
Helmut Gfrerer and Alexander Y. Kruger.
The radius of metric regularity revisited.
October 2022
arXiv:2210.13790
Herbert Egger and Bogdan Radu.
A Yee-like finite element scheme for Maxwell's equations on hybrid grids.
September 2022.
arXiv:2209.10432
T. D. Oyedeji, Y. Yang, H. Egger, and B.-X. Xu.
Variational quantitative phase-field modeling of non-isothermal sintering process.
September 2022
arXiv:2209.14913
Herbert Egger and Nora Philippi.
An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks.
September 2022.
arXiv:2209.04238
Aaron Brunk, Herbert Egger, Oliver Habrich, and Maria Lucacova-Medvidova.
A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system.
September 2022.
arXiv:2209.03849
Helmut Gfrerer and Jiří V. Outrata.
On the isolated calmness property of implicitly defined multifunctions.
August 2022
arXiv:2208.01331
Aaron Brunk, Herbert Egger, and Oliver Habrich.
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation.
August 2022.
arXiv:2208.10201
Monica Montardini, Giancarlo Sangalli, Rainer Schneckenleitner, Stefan Takacs and Mattia Tani.
A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers.
June 2022.
arXiv:2206.08416
Helmut Gfrerer and Alexander Y. Kruger.
Radius Theorems for Subregularity in Infinite Dimensions.
June 2022
arXiv:2206.10347
Helmut Gfrerer, Michael Mandlmayr, Jiří V. Outrata and Jan Valdman.
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction.
May 2022
arXiv:2205.15129
Matúš Benko, Helmut Gfrerer, Jane J. Ye, Jin Zhang and Jinchuan Zhou.
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems.
March 2022
arXiv:2203.10015
Jarle Sogn and Stefan Takacs.
Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch Isogeometric Analysis
February 2022
arXiv:2202.13707
Herbert Egger and Vsevolod Shashkov.
On higher order passivity preserving schemes for nonlinear Maxwell's equations
February 2022
arXiv:2202.08003

2021

Herbert Egger, Mané Harutyunyan, Richard Löscher, Melina Merkel and Sebastian Schöps.
On torque computation in electric machine simulation by harmonic mortar methods.
December 2021
arXiv:2112.05572
Helmut Gfrerer, Jiří V. Outrata and Jan Valdman.
On the application of the SCD semismooth* Newton method to variational inequalities of the second kind.
December 2021
arXiv:2112.08080
Jarle Sogn and Stefan Takacs.
Multigrid Solvers for Isogeometric Discretizations of the Second Biharmonic Problem.
December 2021
NuMa-Report 2021-10
Jarle Sogn and Stefan Takacs.
Dual-Primal Isogeometric Tearing and Interconnecting Methods for the Stokes Problem.
December 2021
NuMa-Report 2021-09
Rainer Schneckenleitner and Stefan Takacs.
Inexact IETI-DP for Conforming Isogeometric Multi-Patch Discretizations.
October 2021
NuMa-Report 2021-08
Rainer Schneckenleitner and Stefan Takacs.
IETI-DP Methods for Discontinuous Galerkin Multi-Patch Isogeometric Analysis with T-junctions.
September 2021
NuMa-Report 2021-07
Ioannis Toulopoulos.
A Unified Stable Space-Time Finite Element Scheme for Non-Newtonian Power Law Models.
August 2021
NuMa-Report 2021-06
Helmut Gfrerer and Jiří V. Outrata.
On Subspaces Contained in Generalized Derivatived and Strong Metric (Sub)regularity.
June 2021
NuMa-Report 2021-05
Ulrich Langer.
Adaptive Space-Time Finite Element and Isogeometric Analysis.
March 2021
NuMa-Report 2021-04
Rainer Schneckenleitner and Stefan Takacs.
IETI-DP for Conforming Multi-Patch Isogeometric Analysis in Three Dimensions.
March 2021
NuMa-Report 2021-03
Rainer Schneckenleitner and Stefan Takacs.
Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains.
March 2021
NuMa-Report 2021-02
Ioannis Toulopoulos.
A Continuous Space-Time Finite Element Scheme for Quasilinear Parabolic Problems.
February 2021
NuMa-Report 2021-01

2020

Helmut Gfrerer, Jiří V. Outrata and Jan Valdman.
On the Application of the Semismooth* Newton Method to Variational Inequalities of the Second Kind.
July 2020
NuMa-Report 2020-04
Svetoslav Nakov and Ioannis Toulopoulos.
Convergence Estimates of Finite Elements for a Class of Quasilinear Elliptic Problems.
May 2020
NuMa-Report 2020-03
Rainer Schneckenleitner and Stefan Takacs.
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis That Is Explicit in $h$ and $p$.
May 2020
NuMa-Report 2020-02
Ioannis Toulopoulos.
Viscoplastic Models and Finite Element Schemes for the Hot Rolling Metal Process.
February 2020
NuMa-Report 2020-01

2019

Clemens Hofreither, Ludwig Mitter and Hendrik Speleers.
Local multigrid solvers for adaptive Isogeometric Analysis in hierarchical spline spaces.
December 2019
NuMa-Report 2019-05
Rainer Schneckenleitner and Stefan Takacs.
Condition number bounds for IETI-DP methods that are explicit in h and p.
December 2019
NuMa-Report 2019-04
Matúš Benko.
On Inner Calmness*, Generalized Calculus, and Derivatives of the Normal-cone Map.
October 2019
NuMa-Report 2019-03
Matúš Benko, Tim Hoheisel and Michal Červinka.
New Verifiable Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive Programs.
June 2019
NuMa-Report 2019-02
Helmut Gfrerer and Jiří V. Outrata.
On a Semismooth* Newton Method for Solving Generalized Equations.
April 2019
NuMa-Report 2019-01

2018

Matúš Benko, Helmut Gfrerer and Jiří V. Outrata.
Stability Analysis for Parameterized Variational Systems with Implicit Constraints.
December 2018
NuMa-Report 2018-07
Helmut Gfrerer and Jiří V. Outrata.
On the Aubin Property of Solution Maps to Parameterized Variational Systems with Implicit Constraints.
December 2018
NuMa-Report 2018-06
Helmut Gfrerer and Jane Ye.
New Sharp Necessary Optimality Conditions for Mathematical Programs with Equilibrium Constraints.
December 2018
NuMa-Report 2018-05
Matúš Benko, Helmut Gfrerer and Boris Mordukhovich.
Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming.
September 2018
NuMa-Report 2018-04
Katharina Rafetseder and Walter Zulehner.
A New Mixed Isogeometric Approach to Kirchhoff-Love Shells.
March 2018
NuMa-Report 2018-03
Irina Georgieva and Clemens Hofreither.
Greedy Low-Rank Approximation in Tucker Format of Tensors and Solutions of Tensor Linear Systems.
March 2018
NuMa-Report 2018-02
Jarle Sogn and Stefan Takacs.
Robust Multigrid Solvers for the Biharmonic Problem in Isogeometric Analysis.
February 2018
NuMa-Report 2018-01

2017

Helmut Gfrerer.
Linearized M-Stationarity Conditions for General Optimization Problems.
December 2017
NuMa-Report 2017-08
Matúš Benko, Helmut Gfrerer and Jiří V. Outrata.
Calculus for Directional Limiting Normal Cones and Subdifferentials.
December 2017
NuMa-Report 2017-07
Katharina Rafetseder and Walter Zulehner.
On a New Mixed Formulation of Kirchhoff Plates on Curvilinear Polygonal Domains.
November 2017
NuMa-Report 2017-06
Helmut Gfrerer and Boris Mordukhovich.
Second-Order Variational Analysis of Parametric Constraint and Variational Systems.
November 2017
NuMa-Report 2017-05
Jarle Sogn and Walter Zulehner.
Schur Complement Preconditioners for Multiple Saddle Point Problems of Block Tridiagonal Form with Application to Optimization Problems.
July 2017
NuMa-Report 2017-04
Ulrich Langer, Martin Neumüller and Ioannis Toulopoulos.
Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems.
May 2017
NuMa-Report 2017-03
Clemens Hofreither.
A Black-Box Algorithm for Fast Matrix Assembly in Isogeometric Analysis.
April 2017
NuMa-Report 2017-02
Katharina Rafetseder and Walter Zulehner.
A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach.
March 2017
NuMa-Report 2017-01

2016

Irina Georgieva and Clemens Hofreither.
On the Best Uniform Approximation by Low-Rank Matrices.
December 2016
NuMa-Report 2016-10
Dirk Pauly and Walter Zulehner.
On Closed and Exact Grad grad- and div Div-Complexes, Corresponding Compact Embeddings for Tensor Rotations, and a Related Decomposition Result for Biharmonic Problems in 3D.
November 2016
NuMa-Report 2016-09
Matúš Benko and Helmut Gfrerer.
New Verifiable Stationarity Concepts for a Class of Mathematical Programs with Disjunctive Constraints.
November 2016
NuMa-Report 2016-08
Bernhard Endtmayer and Thomas Wick.
A Partition-of-Unity Dual-Weighted Residual Approach for Multi-Objective Goal Functional Error Estimation Applied to Elliptic Problems.
October 2016
NuMa-Report 2016-07
Peter Gangl and Ulrich Langer.
A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization.
September 2016
NuMa-Report 2016-06
Matúš Benko and Helmut Gfrerer.
An SQP Method for Mathematical Programs with Vanishing Constraints with Strong Convergence Properties.
August 2016
NuMa-Report 2016-05
Helmut Gfrerer and Jane Ye.
New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis.
August 2016
NuMa-Report 2016-04
Helmut Gfrerer and Boris Mordukhovich.
Robinson Stability of Parametric Constraint Systems via Variational Analysis.
August 2016
NuMa-Report 2016-03
Clemens Hofreither and Stefan Takacs.
Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces.
June 2016
NuMa-Report 2016-02
Matúš Benko and Helmut Gfrerer.
On Estimating the Regular Normal Cone to Constraint Systems and Stationarity Conditions.
May 2016
NuMa-Report 2016-01

2015

Helmut Gfrerer and Jiří V. Outrata.
On Lipschitzian Properties of Implicit Multifunctions.
December 2015
NuMa-Report 2015-12
Ulrich Langer, Stephen Edward Moore and Martin Neumüller.
Space-time Isogeometric Analysis of Parabolic Evolution Equations.
September 2015
NuMa-Report 2015-11
Clemens Hofreither, Stefan Takacs and Walter Zulehner.
A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction.
July 2015
NuMa-Report 2015-10
Samuel Amstutz, Peter Gangl and Ulrich Langer.
Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics.
June 2015
NuMa-Report 2015-09
Clemens Hofreither, Bert Jüttler, Gabor Kiss and Walter Zulehner.
Multigrid Methods for Isogeometric Analysis with THB-Splines.
June 2015
NuMa-Report 2015-08
Elias Karabelas and Martin Neumüller.
Generating Admissible Space-Time Meshes for Moving Domains in d+1 Dimensions.
May 2015
NuMa-Report 2015-07
Irina Georgieva and Clemens Hofreither.
An Algorithm for Low-rank Approximation of Bivariate Functions Using Splines.
May 2015
NuMa-Report 2015-06
Matúš Benko and Helmut Gfrerer.
An SQP Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties.
May 2015
NuMa-Report 2015-05
Helmut Gfrerer and Boris Mordukhovich.
Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions.
March 2015
NuMa-Report 2015-04
Clemens Hofreither, Ulrich Langer and Steffen Weißer.
Convection-adapted BEM-based FEM.
February 2015
NuMa-Report 2015-03
Stefan Takacs and Thomas Takacs.
Approximation Error Estimates and Inverse Inequalities for B-Splines of Maximum Smoothness.
February 2015
NuMa-Report 2015-02
Peter Gangl, Ulrich Langer, Antoine Laurain, Houcine Meftahi and Kevin Sturm.
Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics.
January 2015
NuMa-Report 2015-01

2014

Clemens Hofreither and Walter Zulehner.
Mass Smoothers in Geometric Multigrid for Isogeometric Analysis.
December 2014
NuMa-Report 2014-11
Clemens Hofreither and Walter Zulehner.
Spectral Analysis of Geometric Multigrid Methods for Isogeometric Analysis.
December 2014
NuMa-Report 2014-10
Helmut Gfrerer and Jiří V. Outrata.
On Computation of Limiting Coderivatives of the Normal-Cone Mapping to Inequality Systems and their Applications.
December 2014
NuMa-Report 2014-09
Martin J. Gander and Martin Neumüller.
Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems.
November 2014
NuMa-Report 2014-08
Martin J. Gander and Martin Neumüller.
Analysis of a Time Multigrid Algorithm for DG-Discretizations in Time.
September 2014
NuMa-Report 2014-07
Wolfgang Krendl, Katharina Rafetseder and Walter Zulehner.
A Decomposition Result for Biharmonic Problems and the Hellan-Herrmann-Johnson Method.
July 2014
NuMa-Report 2014-06
Irina Georgieva and Clemens Hofreither.
Interpolating Solutions of the Poisson Equation in the Disk Based on Radon Projections.
July 2014
NuMa-Report 2014-05
Ulrich Langer, Sergey Repin and Monika Wolfmayr.
Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems.
July 2014
NuMa-Report 2014-04
Clemens Hofreither and Walter Zulehner.
On Full Multigrid Schemes for Isogeometric Analysis.
May 2014
NuMa-Report 2014-03
Helmut Gfrerer and Diethard Klatte.
Quantitative Stability of Optimization Problems and Generalized Equations.
May 2014
NuMa-Report 2014-02
Helmut Gfrerer and Jiří V. Outrata.
On Computation of Generalized Derivatives of the Normal-Cone Mapping and their Applications.
May 2014
NuMa-Report 2014-01

2013

Wolfgang Krendl, Valeria Simoncini and Walter Zulehner.
Efficient Preconditioning for an Optimal Control Problem with the Time-periodic Stokes Equations.
November 2013
NuMa-Report 2013-08
Walter Zulehner.
The Ciarlet-Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning.
October 2013
NuMa-Report 2013-07
Peter Gangl and Ulrich Langer.
Topology Optimization of Electric Machines Based on Topological Sensitivity Analysis.
September 2013
NuMa-Report 2013-06
Astrid Pechstein and Clemens Pechstein.
A FETI Method for a TDNNS Discretization of Plane Elasticity.
August 2013
NuMa-Report 2013-05
Irina Georgieva and Clemens Hofreither.
Cubature Rules for Harmonic Functions Based on Radon Projections.
June 2013
NuMa-Report 2013-04
Clemens Hofreither, Ulrich Langer and Clemens Pechstein.
BEM-based Finite Element Tearing and Interconnecting Methods.
May 2013
NuMa-Report 2013-03
Helmut Gfrerer.
Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints.
March 2013
NuMa-Report 2013-02
Ulrich Langer and Monika Wolfmayr.
Multiharmonic Finite Element Analysis of a Time-Periodic Parabolic Optimal Control Problem.
February 2013
NuMa-Report 2013-01

2012

Clemens Pechstein.
On Iterative Substructuring Methods for Multiscale Problems.
December 2012
NuMa-Report 2012-13
Markus Eslitzbichler, Clemens Pechstein and Ronny Ramlau.
An $H^1$-Kaczmarz Reconstructor for Atmospheric Tomography.
December 2012
NuMa-Report 2012-12
Clemens Hofreither and Clemens Pechstein.
A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains.
December 2012
NuMa-Report 2012-11
Helmut Gfrerer.
On Metric Pseudo-(sub)Regularity of Multifunctions and Optimality Conditions for Degenerated Mathematical Programs.
December 2012
NuMa-Report 2012-10
Clemens Hofreither, Ulrich Langer and Clemens Pechstein.
FETI Solvers for Non-Standard Finite Element Equations Based on Boundary Integral Operators.
November 2012
NuMa-Report 2012-09
Michael Kolmbauer and Ulrich Langer.
Efficient Solvers for Some Classes of Time-Periodic Eddy Current Optimal Control Problems.
November 2012
NuMa-Report 2012-08
Helmut Gfrerer.
On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs.
August 2012
NuMa-Report 2012-07
Stefan Takacs and Walter Zulehner.
Convergence Analysis of All-at-once Multigrid Methods for Elliptic Control Problems Under Partial Elliptic Regularity.
June 2012
NuMa-Report 2012-06
Veronika Pillwein and Stefan Takacs.
A Multigrid Fourier Analysis of a Multigrid Method using Symbolic Computation.
April 2012
NuMa-Report 2012-05
Helmut Gfrerer.
On Directional Metric Regularity, Subregularity and Optimality Conditions for Nonsmooth Mathematical Programs.
February 2012
NuMa-Report 2012-04
Wolfgang Krendl, Valeria Simoncini and Walter Zulehner.
Stability Estimates and Structural Spectral Properties of Saddle Point Problems.
February 2012
NuMa-Report 2012-03
Michael Kolmbauer and Ulrich Langer.
A Robust Preconditioned MinRes-Solver for Time-Periodic Eddy Current Problems.
January 2012
NuMa-Report 2012-02
Markus Kollmann and Walter Zulehner.
A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints .
January 2012
NuMa-Report 2012-01

2011

Markus Kollmann, Michael Kolmbauer, Ulrich Langer, Monika Wolfmayr and Walter Zulehner.
A Finite Element Solver for a Multiharmonic Parabolic Optimal Control Problem.
December 2011
NuMa-Report 2011-10
Michael Kolmbauer.
Efficient Solvers for Multiharmonic Eddy Current Optimal Control Problems with Various Constraints.
November 2011
NuMa-Report 2011-09
Michael Kolmbauer.
A Robust FEM-BEM MinRes Solver for Distributed Multiharmonic Eddy Current Optimal Control Problems in Unbounded Domains.
November 2011
NuMa-Report 2011-08
Victorita Dolean, Patrice Hauret, Frédérik Nataf, Clemens Pechstein, Robert Scheichl and Nicole Spillane.
Abstract Robust Coarse Spaces for Systems of PDEs via Generalized Eigenproblems in the Overlaps.
November 2011
NuMa-Report 2011-07
Markus Kollmann and Michael Kolmbauer.
A Preconditioned MinRes Solver forTime-Periodic Parabolic Optimal ControlProblems.
August 2011
NuMa-Report 2011-06
Michael Kolmbauer and Ulrich Langer.
A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems.
May 2011
NuMa-Report 2011-05
Michael Kolmbauer and Ulrich Langer.
A Robust Preconditioned-MinRes-Solver for Distributed Time-Periodic Eddy Current Optimal Control.
May 2011
NuMa-Report 2011-04
Michael Kolmbauer.
Existence and Uniqueness of Eddy Current Problems in Bounded and Unbounded Domains.
May 2011
NuMa-Report 2011-03
Stefan Takacs and Walter Zulehner.
Convergence Analysis of Multigrid Methods with Collective PointSmoothers for Optimal Control Problems.
February 2011
NuMa-Report 2011-02
Huidong Yang and Walter Zulehner.
Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods.
February 2011
NuMa-Report 2011-01

2010

Clemens Pechstein and Robert Scheichl.
Weighted Poincaré Inequalities.
December 2010
NuMa-Report 2010-10
Michael Kolmbauer and Ulrich Langer.
A frequency-robust solver for the time-harmonic eddy current problem.
December 2010
NuMa-Report 2010-09
Clemens Hofreither.
L2 Error Estimates for a Nonstandard Finite Element Method on Polyhedral Meshes.
December 2010
NuMa-Report 2010-08
Walter Zulehner.
Non-standard Norms and Robust Estimates for Saddle Point Problems.
November 2010
NuMa-Report 2010-07
Helmut Gfrerer.
Second Order Conditions for Metric Subregularity of Smooth Constraint Systems.
September 2010
NuMa-Report 2010-06
Helmut Gfrerer.
First-Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings.
July 2010
NuMa-Report 2010-05
Clemens Hofreither, Ulrich Langer and Clemens Pechstein.
Analysis of a Non-standard Finite Element Method Based on Boundary Integral Operators.
June 2010
NuMa-Report 2010-04
Sven Beuchler, Clemens Pechstein and Daniel Wachsmuth.
Boundary Concentrated Finite Elements for Optimal Boundary Control Problems of Elliptic PDEs.
June 2010
NuMa-Report 2010-03
Peter Gruber.
Adaptive Strategies for High Order FEM in Elastoplasticity.
March 2010
NuMa-Report 2010-02
Clemens Pechstein and Robert Scheichl.
Weighted Poincaré Inequalities for High Contrast Coefficients.
February 2010
Technical Report OW10-10
Joachim Schöberl, René Simon and Walter Zulehner.
A Robust Multigrid Method for Elliptic Optimal Control Problems.
January 2010
NuMa-Report 2010-01

2009

Peter Gruber, Johanna Kienesberger, Ulrich Langer, Joachim Schöberl and Jan Valdman.
Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.
December 2009
NuMa-Report 2009-15
Clemens Pechstein.
Shape-Explicit Constants for Some Boundary Integral Operators.
December 2009
NuMa-Report 2009-14
Dylan Copeland, Michael Kolmbauer and Ulrich Langer.
Domain Decomposition Solvers for Frequency-Domain Finite Element Equations.
December 2009
NuMa-Report 2009-13
Clemens Pechstein and Robert Scheichl.
Weighted Poincaré Inequalities and Applications in Domain Decomposition.
November 2009
NuMa-Report 2009-12
Peter Gruber, Dorothee Knees, Sergiy Nesenenko and Marita Thomas.
Analytical and Numerical Aspects of Time-dependent Models with Internal Variables.
November 2009
NuMa-Report 2009-11
Huidong Yang and Walter Zulehner.
A Newton Based Fluid-Structure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes.
November 2009
NuMa-Report 2009-10
Dylan Copeland and Ulrich Langer.
Domain Decomposition Solvers for Nonlinear Multiharmonic Finite Element Equations.
November 2009
NuMa-Report 2009-09
Stefan Takacs and Walter Zulehner.
Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control.
October 2009
NuMa-Report 2009-08
Ulrich Langer, Huidong Yang and Walter Zulehner.
A Grid-enabled Solver for the Fluid-Structure Interaction (FSI) Problem.
August 2009
NuMa-Report 2009-07
Helmut Gfrerer.
Generalized Penalty Methods for a Class of Convex Optimization Problems with Pointwise Inequality Constraints.
July 2009
NuMa-Report 2009-06
Alexsandr M. Matsokin and Sergey Nepomnyashikh.
Domain Decomposition Preconditioning for Well Models for Reservoir Problems.
June 2009
NuMa-Report 2009-05
Clemens Pechstein and Robert Scheichl.
Analysis of FETI Methods for Multiscale PDEs - Part II: Interface Variation.
April 2009
NuMa-Report 2009-04
Huidong Yang and Walter Zulehner.
Numerical Simulation of Fluid-Stucture Interaction Problems on Hybrid Meshes with AMG.
April 2009
NuMa-Report 2009-03
Clemens Hofreither, Ulrich Langer and Satyendra K. Tomar.
Boundary Element Simulation of Linear Water Waves in a Model Basin.
March 2009
NuMa-Report 2009-02
Clemens Pechstein and Robert Scheichl.
Scaling Up through Domain Decomposition.
January 2009
NuMa-Report 2009-01

2007

Wael Elleithy.
Elasto-Plastic Analysis with an Adaptive FEM-BEM Coupling Method.
August 2007
SFB-Report 07-17
Clemens Pechstein.
Analysis of Dual and Dual-primal Tearing and Interconnecting Methods in Unbounded Domains.
August 2007
SFB-Report 07-15
Peter Gruber and Jan Valdman.
Newton-like Solver for Elastoplastic Problems with Hardening and its Local Super-linear Convergence.
March 2007
SFB-Report 07-6
René Simon and Walter Zulehner.
On Schwarz-type Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems.
January 2007
SFB-Report 07-1

2006

Ulrich Langer and Huidong Yang.
A Parallel Solver for the 3D Incompressible Navier-Stokes Equations on the Austrian Grid.
April 2006
SFB-Report 06-12
Stefan Gerhold, Manuel Kauers and Joachim Schöberl.
On a Conjectured Inequality for a Sum of Legendre Polynimials.
April 2006
SFB-Report 06-11
Roman Stainko.
An Optimal Solver for a KKT-System Arising from an Interior-Point Formulation of a Topology Optimization Problem.
April 2006
SFB-Report 06-10
Almedin Becirovic, Peter Paule, Veronika Pillwein, Axel Riese, Carsten Schneider and Joachim Schöberl.
Hypergeometric Summation Algorithms for High Order Finite Elements.
March 2006
SFB-Report 06-8
Peter Gruber and Jan Valdman.
New Numerical Solver for Elastoplastic Problem Based on the Moreau-Yosida Theorem.
February 2006
SFB-Report 06-5
Ulrich Langer and Clemens Pechstein.
Coupled Finite and Boundary Element Tearing and Interconnecting Methods Applied to Nonlinear Potential Problems.
January 2006
SFB-Report 06-1

2005

Gundolf Haase and Manfred Liebmann.
A Hilbert-Order Multiplication Scheme for Unstructured Sparse Matrices.
October 2005
Technical Report IMA03-05
Helmut Gfrerer.
Second-Order Optimality Conditions for Nonlinear Optimization Problems.
September 2005
SFB-Report 05-14
Carsten Carstensen, Antonio Orlando and Jan Valdman.
A Convergent Adaptive Finite Element Method for the Primal Problem of Elastoplasticity.
August 2005
Technical Report CC2005-12
Ulrich Langer and David Pusch.
Convergence Analysis of Geometric Multigrid Methods for Solving Data-Sparse Boundary Element Equations.
July 2005
RICAM-Report 2005-16
Jens Markus Melenk, Clemens Pechstein, Joachim Schöberl and Sabine Zaglmayr.
Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements.
May 2005
RICAM-Report 2005-11
Walter Zulehner.
Uzawa-type Methods for Block-Structured Indefinite Linear Systems.
March 2005
SFB-Report 05-5

2004

Dalibor Lukáš.
Progress Report on Topology and Shape Optimization in Magnetostatics.
December 2004
SFB-Report 04-40
Martin Burger and Roman Stainko.
Phase-Field Relaxation of Topology Optimization with Local Stress Constraints.
December 2004
SFB-Report 04-35
Ulrich Langer and David Pusch.
Comparison of Geometrical and Algebraic Multigrid Preconditioners for Data-Sparse Boundary Element Matrices.
September 2004
SFB-Report 04-24
Ulrich Langer, Alin Pohoata and Olaf Steinbach.
Application of Preconditioned Coupled FETI/BETI Solvers to 2D Magnetic Field Problems.
September 2004
SFB-Report 04-23
Roman Stainko.
An Adaptive Multilevel Approach to the Minimal Compliance Problem in 3D Topology Optimization.
September 2004
SFB-Report 04-20
Florian Bachinger, Ulrich Langer and Joachim Schöberl.
Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.
August 2004
SFB-Report 04-16
Bert Jüttler and Clemens Pechstein.
Monotonicity-perserving Interproximation of B-H-curves.
August 2004
SFB-Report 04-15
Markus Wabro.
AMGe - Coarsening Strategies and Application to the Oseen-Equations.
June 2004
SFB-Report 04-12
Florian Bachinger, Ulrich Langer and Joachim Schöberl.
Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.
January 2004
SFB-Report 04-1

2003

Sven Beuchler and Joachim Schöberl.
Extension Operators on Tensor Product Structures in 2D and 3D.
December 2003
RICAM-Report 2003-01
Ulrich Langer and Olaf Steinbach.
Coupled Boundary and Finite Element Tearing and Interconnecting Methods.
November 2003
SFB-Report 03-45
Roman Stainko.
A Multilevel Approach to the Minimal Compliance Problem in Topology Optimization.
September 2003
SFB-Report 03-14
Gundolf Haase, Ewald Lindner, Wolfram Mühlhuber and Christian Rathberger.
Optimal Sizing and Shape Optimization in Structural Mechanics.
May 2003
SFB-Report 03-6
Markus Wabro.
Coupled Algebraic Multigrid Methods for the Oseen Problem.
February 2003
SFB-Report 03-6

2002

Ulrich Langer, Stefan Reitzinger and Josef Schicho.
Symbolic Methods for the Element Preconditioning Technique.
January 2002
SFB-Report 02-3
Stefan Reitzinger, Ute Schreiber and Ursula van Rienen.
Algebraic Multigrid for Complex Symmetric Matrices: Numerical Studies.
January 2002
SFB-Report 02-1

2001

Ulrich Langer, David Pusch and Stefan Reitzinger.
An Efficient Preconditioner for Boundary Element Matrices based on Algebraic Multigrid Methods.
December 2001
SFB-Report 01-30
Craig C. Douglas, Gundolf Haase and Mohamed Iskandarani.
An Additive Schwarz Preconditioner for the Spectral Element.
June 2001
SFB-Report 01-22
Alfred Anwander, Michael Kuhn, Stefan Reitzinger and Carsten Wolters.
A Parallel Algebraic Multigrid Solver for the Finite Element Method based Source Localization in the Human Brain.
June 2001
SFB-Report 01-21
Martin Burger and Wolfram Mühlhuber.
Numerical Approximation of an SQP-type Method for Parameter Identification.
May 2001
SFB-Report 01-19
Martin Burger and Wolfram Mühlhuber.
Iterative Regularization of Parameter Identification Problems by SQP Methods.
May 2001
SFB-Report 01-18
Barbara Kaltenbacher, Manfred Kaltenbacher and Stefan Reitzinger.
Identification for Nonlinear B-H Curves Based on Magnetic Field Computations and Multigrid Methods for Ill-posed Problems.
May 2001
SFB-Report 01-17
Michael Kuhn and Olaf Steinbach.
Symmetric Coupling of Finite and Boundary Elements for Exterior Magnetic Field Problems.
May 2001
Technical Report 0949-2046

Before 2000

Walter Zulehner.
A Class of Smoothers for Saddle Point Problems.
November 1998
Institute Report 546
Joachim Schöberl.
Efficient Contact Solvers Based on Domain Decomposition Techniques.
October 1998
Institute Report 545
Gundolf Haase and Ewald Lindner.
Advanced Iterative Solvers and Optimal Design for Industrial Machine Components.
August 1998
Institute Report 543
Michael Kuhn.
FE and FE-BE Formulations of 3D Magnetic Field Problems.
June 1998
Institute Report 542
Joachim Schöberl.
Multigrid Methods for a Parameter Dependent Problem in Primal Variables.
April 1998
Institute Report 539
Walter Zulehner.
Analysis of Iterative Methods for Saddle Point Problems: A Unified Approach.
February 1998
Institute Report 538
Joachim Schöberl.
Programmbeschreibung NAOMI 2D and Algebraic Multigrid.
September 1997
Technical Report 97-4
Ferdinand Kickinger, Sergey Nepomnyashikh, Ralf Pfau and Joachim Schöberl.
Numerical Estimates of Inequalities in $H^{1/2}$.
July 1997
Technical Report 97-3
Gundolf Haase and Sergey Nepomnyashikh.
Explicit Extension Operators on Hierarchical Grids.
June 1997
Institute Report 524
Joachim Schöberl.
Robust Multigrid Preconditioning for Parameter Dependent Problems I: The Stokes-type Case.
June 1997
Technical Report 97-2
Michael Hintermüller.
Nonlinear Optimization with Noisy Constriants I: Inequalities.
May 1997
Institute Report 527
Alfred Tamme.
Modelling of Elastic Multi-Structures by a Hybrid Lagrange Technique.
April 1997
Institute Report 528
Ferdinand Kickinger.
Automatic Microscaling Mesh Generation.
March 1997
Institute Report 525
Bodo Heise, Michael Kuhn and Ulrich Langer.
A Mixed Variational Formulation for 3D Magnetostatics in the Space $H(rot) \cap H(div)$.
February 1997
Technical Report 97-1
Gundolf Haase.
An Incomplete Factorization Preconditioner Based on a Non-Overlapping Domain Decomposition Data Distribution.
December 1996
Institute Report 510
Carsten Carstensen, Michael Kuhn and Ulrich Langer.
Fast Parallel Solvers for Symmetric Boundary Element Domain Decomposition Equations.
August 1996
Institute Report NM79/3-321
Joachim Schöberl.
Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.
August 1996
Institute Report C60/4-323
Gundolf Haase.
Mutlilevel Extension Techniques in Domain Decomposition Preconditioners.
June 1996
Institute Report DD9-42
Michael Kuhn.
Benchmarking for Boundary Element Methods.
June 1996
Technical Report 96-7
Bodo Heise.
A Mixed Variational Formulation for 3D Magnetostatics and its Finite Element Discretisation.
May 1996
Technical Report 96-6
Gundolf Haase.
Hierarchical Extension Operators plus Smoothing in Domain Decomposition Preconditioners.
May 1996
Institute Report ANM23p327
Ferdinand Kickinger.
Algebraic Multigrid for Discrete Elliptic Second Order Problems.
February 1996
Technical Report 96-5
Bodo Heise and Michael Jung.
Robust Parallel Newton-Multilevel Methods.
February 1996
Technical Report 96-4
Bodo Heise.
A Mixed Variational Formulation for 3D Magnetostatics and its Finite Element Discretisation.
February 1996
Technical Report 96-3
Mario Goppold, Gundolf Haase, Bodo Heise and Michael Kuhn.
Preprocessing in BE/FE Domain Decomposition Methods.
February 1996
Technical Report 96-2
Ferdinand Kickinger.
Automatic Mesh Generation for 3D Objects.
February 1996
Technical Report 96-1
Joachim Schöberl.
An Automatic Mesh Generator Using Geometric Rules for Two and Three Space Dimensions.
August 1995
Technical Report 95-3
Gundolf Haase, Bodo Heise, Michael Kuhn and Ulrich Langer.
Adaptive Domain Decomposition Methods for Finite and Boundary Element Equations.
August 1995
Technical Report 95-2
Bodo Heise and Michael Jung.
Comparison of Parallel Solvers for Nonlinear Elliptic Problems Based on Domain Decomposition Ideas.
August 1995
Institute Report 494
Hedwig Brandstetter.
Was ist neu in Fortran 90?
March 1995
Technical Report 95-1

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