# Preprints

## 2022

• The radius of metric regularity revisited.
• October 2022
• A Yee-like finite element scheme for Maxwell's equations on hybrid grids.
• September 2022.
• An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks.
• September 2022.
• A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system.
• September 2022.
• On the isolated calmness property of implicitly defined multifunctions.
• August 2022
• On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation.
• August 2022.
• A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers.
• June 2022.
• Radius Theorems for Subregularity in Infinite Dimensions.
• June 2022
• On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction.
• May 2022
• Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems.
• March 2022
• Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch Isogeometric Analysis
• February 2022
• On higher order passivity preserving schemes for nonlinear Maxwell's equations
• February 2022

## 2021

• On torque computation in electric machine simulation by harmonic mortar methods.
• December 2021
• On the application of the SCD semismooth* Newton method to variational inequalities of the second kind.
• December 2021
• Multigrid Solvers for Isogeometric Discretizations of the Second Biharmonic Problem.
• December 2021
• Dual-Primal Isogeometric Tearing and Interconnecting Methods for the Stokes Problem.
• December 2021
• Inexact IETI-DP for Conforming Isogeometric Multi-Patch Discretizations.
• October 2021
• IETI-DP Methods for Discontinuous Galerkin Multi-Patch Isogeometric Analysis with T-junctions.
• September 2021
• A Unified Stable Space-Time Finite Element Scheme for Non-Newtonian Power Law Models.
• August 2021
• On Subspaces Contained in Generalized Derivatived and Strong Metric (Sub)regularity.
• June 2021
• Adaptive Space-Time Finite Element and Isogeometric Analysis.
• March 2021
• IETI-DP for Conforming Multi-Patch Isogeometric Analysis in Three Dimensions.
• March 2021
• Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains.
• March 2021
• A Continuous Space-Time Finite Element Scheme for Quasilinear Parabolic Problems.
• February 2021

## 2020

• On the Application of the Semismooth* Newton Method to Variational Inequalities of the Second Kind.
• July 2020
• Convergence Estimates of Finite Elements for a Class of Quasilinear Elliptic Problems.
• May 2020
• Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis That Is Explicit in $h$ and $p$.
• May 2020
• Viscoplastic Models and Finite Element Schemes for the Hot Rolling Metal Process.
• February 2020

## 2019

• Local multigrid solvers for adaptive Isogeometric Analysis in hierarchical spline spaces.
• December 2019
• Condition number bounds for IETI-DP methods that are explicit in h and p.
• December 2019
• On Inner Calmness*, Generalized Calculus, and Derivatives of the Normal-cone Map.
• October 2019
• New Verifiable Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive Programs.
• June 2019
• On a Semismooth* Newton Method for Solving Generalized Equations.
• April 2019

## 2018

• Stability Analysis for Parameterized Variational Systems with Implicit Constraints.
• December 2018
• On the Aubin Property of Solution Maps to Parameterized Variational Systems with Implicit Constraints.
• December 2018
• New Sharp Necessary Optimality Conditions for Mathematical Programs with Equilibrium Constraints.
• December 2018
• Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming.
• September 2018
• A New Mixed Isogeometric Approach to Kirchhoff-Love Shells.
• March 2018
• Greedy Low-Rank Approximation in Tucker Format of Tensors and Solutions of Tensor Linear Systems.
• March 2018
• Robust Multigrid Solvers for the Biharmonic Problem in Isogeometric Analysis.
• February 2018

## 2017

• Linearized M-Stationarity Conditions for General Optimization Problems.
• December 2017
• Calculus for Directional Limiting Normal Cones and Subdifferentials.
• December 2017
• On a New Mixed Formulation of Kirchhoff Plates on Curvilinear Polygonal Domains.
• November 2017
• Second-Order Variational Analysis of Parametric Constraint and Variational Systems.
• November 2017
• Schur Complement Preconditioners for Multiple Saddle Point Problems of Block Tridiagonal Form with Application to Optimization Problems.
• July 2017
• Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems.
• May 2017
• A Black-Box Algorithm for Fast Matrix Assembly in Isogeometric Analysis.
• April 2017
• A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach.
• March 2017

## 2016

• On the Best Uniform Approximation by Low-Rank Matrices.
• December 2016
• 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
• New Verifiable Stationarity Concepts for a Class of Mathematical Programs with Disjunctive Constraints.
• November 2016
• A Partition-of-Unity Dual-Weighted Residual Approach for Multi-Objective Goal Functional Error Estimation Applied to Elliptic Problems.
• October 2016
• A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization.
• September 2016
• An SQP Method for Mathematical Programs with Vanishing Constraints with Strong Convergence Properties.
• August 2016
• New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis.
• August 2016
• Robinson Stability of Parametric Constraint Systems via Variational Analysis.
• August 2016
• Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces.
• June 2016
• On Estimating the Regular Normal Cone to Constraint Systems and Stationarity Conditions.
• May 2016

## 2015

• On Lipschitzian Properties of Implicit Multifunctions.
• December 2015
• Space-time Isogeometric Analysis of Parabolic Evolution Equations.
• September 2015
• A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction.
• July 2015
• Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics.
• June 2015
• Multigrid Methods for Isogeometric Analysis with THB-Splines.
• June 2015
• Generating Admissible Space-Time Meshes for Moving Domains in d+1 Dimensions.
• May 2015
• An Algorithm for Low-rank Approximation of Bivariate Functions Using Splines.
• May 2015
• An SQP Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties.
• May 2015
• Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions.
• March 2015
• February 2015
• Approximation Error Estimates and Inverse Inequalities for B-Splines of Maximum Smoothness.
• February 2015
• Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics.
• January 2015

## 2014

• Mass Smoothers in Geometric Multigrid for Isogeometric Analysis.
• December 2014
• Spectral Analysis of Geometric Multigrid Methods for Isogeometric Analysis.
• December 2014
• On Computation of Limiting Coderivatives of the Normal-Cone Mapping to Inequality Systems and their Applications.
• December 2014
• Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems.
• November 2014
• Analysis of a Time Multigrid Algorithm for DG-Discretizations in Time.
• September 2014
• A Decomposition Result for Biharmonic Problems and the Hellan-Herrmann-Johnson Method.
• July 2014
• Interpolating Solutions of the Poisson Equation in the Disk Based on Radon Projections.
• July 2014
• Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems.
• July 2014
• On Full Multigrid Schemes for Isogeometric Analysis.
• May 2014
• Quantitative Stability of Optimization Problems and Generalized Equations.
• May 2014
• On Computation of Generalized Derivatives of the Normal-Cone Mapping and their Applications.
• May 2014

## 2013

• Efficient Preconditioning for an Optimal Control Problem with the Time-periodic Stokes Equations.
• November 2013
• The Ciarlet-Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning.
• October 2013
• Topology Optimization of Electric Machines Based on Topological Sensitivity Analysis.
• September 2013
• A FETI Method for a TDNNS Discretization of Plane Elasticity.
• August 2013
• Cubature Rules for Harmonic Functions Based on Radon Projections.
• June 2013
• BEM-based Finite Element Tearing and Interconnecting Methods.
• May 2013
• Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints.
• March 2013
• Multiharmonic Finite Element Analysis of a Time-Periodic Parabolic Optimal Control Problem.
• February 2013

## 2012

• On Iterative Substructuring Methods for Multiscale Problems.
• December 2012
• An $H^1$-Kaczmarz Reconstructor for Atmospheric Tomography.
• December 2012
• A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains.
• December 2012
• On Metric Pseudo-(sub)Regularity of Multifunctions and Optimality Conditions for Degenerated Mathematical Programs.
• December 2012
• FETI Solvers for Non-Standard Finite Element Equations Based on Boundary Integral Operators.
• November 2012
• Efficient Solvers for Some Classes of Time-Periodic Eddy Current Optimal Control Problems.
• November 2012
• On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs.
• August 2012
• Convergence Analysis of All-at-once Multigrid Methods for Elliptic Control Problems Under Partial Elliptic Regularity.
• June 2012
• A Multigrid Fourier Analysis of a Multigrid Method using Symbolic Computation.
• April 2012
• On Directional Metric Regularity, Subregularity and Optimality Conditions for Nonsmooth Mathematical Programs.
• February 2012
• Stability Estimates and Structural Spectral Properties of Saddle Point Problems.
• February 2012
• A Robust Preconditioned MinRes-Solver for Time-Periodic Eddy Current Problems.
• January 2012
• A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints .
• January 2012

## 2011

• A Finite Element Solver for a Multiharmonic Parabolic Optimal Control Problem.
• December 2011
• Efficient Solvers for Multiharmonic Eddy Current Optimal Control Problems with Various Constraints.
• November 2011
• A Robust FEM-BEM MinRes Solver for Distributed Multiharmonic Eddy Current Optimal Control Problems in Unbounded Domains.
• November 2011
• Abstract Robust Coarse Spaces for Systems of PDEs via Generalized Eigenproblems in the Overlaps.
• November 2011
• A Preconditioned MinRes Solver forTime-Periodic Parabolic Optimal ControlProblems.
• August 2011
• A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems.
• May 2011
• A Robust Preconditioned-MinRes-Solver for Distributed Time-Periodic Eddy Current Optimal Control.
• May 2011
• Existence and Uniqueness of Eddy Current Problems in Bounded and Unbounded Domains.
• May 2011
• Convergence Analysis of Multigrid Methods with Collective PointSmoothers for Optimal Control Problems.
• February 2011
• Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods.
• February 2011

## 2010

• Weighted Poincaré Inequalities.
• December 2010
• A frequency-robust solver for the time-harmonic eddy current problem.
• December 2010
• L2 Error Estimates for a Nonstandard Finite Element Method on Polyhedral Meshes.
• December 2010
• Non-standard Norms and Robust Estimates for Saddle Point Problems.
• November 2010
• Second Order Conditions for Metric Subregularity of Smooth Constraint Systems.
• September 2010
• First-Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings.
• July 2010
• Analysis of a Non-standard Finite Element Method Based on Boundary Integral Operators.
• June 2010
• Boundary Concentrated Finite Elements for Optimal Boundary Control Problems of Elliptic PDEs.
• June 2010
• Adaptive Strategies for High Order FEM in Elastoplasticity.
• March 2010
• Weighted Poincaré Inequalities for High Contrast Coefficients.
• February 2010
• A Robust Multigrid Method for Elliptic Optimal Control Problems.
• January 2010

## 2009

• Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.
• December 2009
• Shape-Explicit Constants for Some Boundary Integral Operators.
• December 2009
• Domain Decomposition Solvers for Frequency-Domain Finite Element Equations.
• December 2009
• Weighted Poincaré Inequalities and Applications in Domain Decomposition.
• November 2009
• Analytical and Numerical Aspects of Time-dependent Models with Internal Variables.
• November 2009
• A Newton Based Fluid-Structure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes.
• November 2009
• Domain Decomposition Solvers for Nonlinear Multiharmonic Finite Element Equations.
• November 2009
• Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control.
• October 2009
• A Grid-enabled Solver for the Fluid-Structure Interaction (FSI) Problem.
• August 2009
• Generalized Penalty Methods for a Class of Convex Optimization Problems with Pointwise Inequality Constraints.
• July 2009
• Domain Decomposition Preconditioning for Well Models for Reservoir Problems.
• June 2009
• Analysis of FETI Methods for Multiscale PDEs - Part II: Interface Variation.
• April 2009
• Numerical Simulation of Fluid-Stucture Interaction Problems on Hybrid Meshes with AMG.
• April 2009
• Boundary Element Simulation of Linear Water Waves in a Model Basin.
• March 2009
• Scaling Up through Domain Decomposition.
• January 2009

## 2007

• Elasto-Plastic Analysis with an Adaptive FEM-BEM Coupling Method.
• August 2007
• Analysis of Dual and Dual-primal Tearing and Interconnecting Methods in Unbounded Domains.
• August 2007
• Newton-like Solver for Elastoplastic Problems with Hardening and its Local Super-linear Convergence.
• March 2007
• On Schwarz-type Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems.
• January 2007

## 2006

• A Parallel Solver for the 3D Incompressible Navier-Stokes Equations on the Austrian Grid.
• April 2006
• On a Conjectured Inequality for a Sum of Legendre Polynimials.
• April 2006
• An Optimal Solver for a KKT-System Arising from an Interior-Point Formulation of a Topology Optimization Problem.
• April 2006
• Hypergeometric Summation Algorithms for High Order Finite Elements.
• March 2006
• New Numerical Solver for Elastoplastic Problem Based on the Moreau-Yosida Theorem.
• February 2006
• Coupled Finite and Boundary Element Tearing and Interconnecting Methods Applied to Nonlinear Potential Problems.
• January 2006

## 2005

• A Hilbert-Order Multiplication Scheme for Unstructured Sparse Matrices.
• October 2005
• Second-Order Optimality Conditions for Nonlinear Optimization Problems.
• September 2005
• A Convergent Adaptive Finite Element Method for the Primal Problem of Elastoplasticity.
• August 2005
• Convergence Analysis of Geometric Multigrid Methods for Solving Data-Sparse Boundary Element Equations.
• July 2005
• Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements.
• May 2005
• Uzawa-type Methods for Block-Structured Indefinite Linear Systems.
• March 2005

## 2004

• Progress Report on Topology and Shape Optimization in Magnetostatics.
• December 2004
• Phase-Field Relaxation of Topology Optimization with Local Stress Constraints.
• December 2004
• Comparison of Geometrical and Algebraic Multigrid Preconditioners for Data-Sparse Boundary Element Matrices.
• September 2004
• Application of Preconditioned Coupled FETI/BETI Solvers to 2D Magnetic Field Problems.
• September 2004
• An Adaptive Multilevel Approach to the Minimal Compliance Problem in 3D Topology Optimization.
• September 2004
• Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.
• August 2004
• Monotonicity-perserving Interproximation of B-H-curves.
• August 2004
• AMGe - Coarsening Strategies and Application to the Oseen-Equations.
• June 2004
• Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.
• January 2004

## 2003

• Extension Operators on Tensor Product Structures in 2D and 3D.
• December 2003
• Coupled Boundary and Finite Element Tearing and Interconnecting Methods.
• November 2003
• A Multilevel Approach to the Minimal Compliance Problem in Topology Optimization.
• September 2003
• Optimal Sizing and Shape Optimization in Structural Mechanics.
• May 2003
• Coupled Algebraic Multigrid Methods for the Oseen Problem.
• February 2003

## 2002

• Symbolic Methods for the Element Preconditioning Technique.
• January 2002
• Algebraic Multigrid for Complex Symmetric Matrices: Numerical Studies.
• January 2002

## 2001

• An Efficient Preconditioner for Boundary Element Matrices based on Algebraic Multigrid Methods.
• December 2001
• An Additive Schwarz Preconditioner for the Spectral Element.
• June 2001
• A Parallel Algebraic Multigrid Solver for the Finite Element Method based Source Localization in the Human Brain.
• June 2001
• Numerical Approximation of an SQP-type Method for Parameter Identification.
• May 2001
• Iterative Regularization of Parameter Identification Problems by SQP Methods.
• May 2001
• Identification for Nonlinear B-H Curves Based on Magnetic Field Computations and Multigrid Methods for Ill-posed Problems.
• May 2001
• Symmetric Coupling of Finite and Boundary Elements for Exterior Magnetic Field Problems.
• May 2001

## Before 2000

• A Class of Smoothers for Saddle Point Problems.
• November 1998
• Efficient Contact Solvers Based on Domain Decomposition Techniques.
• October 1998
• Advanced Iterative Solvers and Optimal Design for Industrial Machine Components.
• August 1998
• FE and FE-BE Formulations of 3D Magnetic Field Problems.
• June 1998
• Multigrid Methods for a Parameter Dependent Problem in Primal Variables.
• April 1998
• Analysis of Iterative Methods for Saddle Point Problems: A Unified Approach.
• February 1998
• Programmbeschreibung NAOMI 2D and Algebraic Multigrid.
• September 1997
• Numerical Estimates of Inequalities in $H^{1/2}$.
• July 1997
• Explicit Extension Operators on Hierarchical Grids.
• June 1997
• Robust Multigrid Preconditioning for Parameter Dependent Problems I: The Stokes-type Case.
• June 1997
• Nonlinear Optimization with Noisy Constriants I: Inequalities.
• May 1997
• Modelling of Elastic Multi-Structures by a Hybrid Lagrange Technique.
• April 1997
• Automatic Microscaling Mesh Generation.
• March 1997
• A Mixed Variational Formulation for 3D Magnetostatics in the Space $H(rot) \cap H(div)$.
• February 1997
• An Incomplete Factorization Preconditioner Based on a Non-Overlapping Domain Decomposition Data Distribution.
• December 1996
• Fast Parallel Solvers for Symmetric Boundary Element Domain Decomposition Equations.
• August 1996
• Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.
• August 1996
• Mutlilevel Extension Techniques in Domain Decomposition Preconditioners.
• June 1996
• Benchmarking for Boundary Element Methods.
• June 1996
• A Mixed Variational Formulation for 3D Magnetostatics and its Finite Element Discretisation.
• May 1996
• Hierarchical Extension Operators plus Smoothing in Domain Decomposition Preconditioners.
• May 1996
• Algebraic Multigrid for Discrete Elliptic Second Order Problems.
• February 1996
• Robust Parallel Newton-Multilevel Methods.
• February 1996
• A Mixed Variational Formulation for 3D Magnetostatics and its Finite Element Discretisation.
• February 1996
• Preprocessing in BE/FE Domain Decomposition Methods.
• February 1996
• Automatic Mesh Generation for 3D Objects.
• February 1996
• An Automatic Mesh Generator Using Geometric Rules for Two and Three Space Dimensions.
• August 1995
• Adaptive Domain Decomposition Methods for Finite and Boundary Element Equations.
• August 1995
• Comparison of Parallel Solvers for Nonlinear Elliptic Problems Based on Domain Decomposition Ideas.
• August 1995
• Was ist neu in Fortran 90?
• March 1995