Publications

2024

• B. Endtmayer, U. Langer and A. Schafelner
• Goal-oriented adaptive space-time finite element methods for regularized parabolic p-Laplace problems
• Comput. Math. Appl. 167, 286 - 297, 2024.
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2023

• S. Takacs.
• Discretization error estimates for discontinuous Galerkin Isogeometric Analysis.
• Applicable Analysis, vol. 102 (5), p. 1439 – 1462, 2023.
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• Helmut Gfrerer and Alexander Y. Kruger.
• The radius of metric regularity revisited.
• Set-Valued Var. Anal., 2023.
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• Helmut Gfrerer and Jiří V. Outrata.
• On the isolated calmness property of implicitly defined multifunctions.
• J. Conv. Anal., vol. 30 (3), p. 1001-1023, 2023.
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• Helmut Gfrerer and Alexander Y. Kruger.
• Radius Theorems for Subregularity in Infinite Dimensions.
• Comp. Optim. Appl., 2023.
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• M. Montardini, G. Sangalli, R. Schneckenleitner, S. Takacs, and M. Tani.
• A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers.
• To Appear in: Mathematical Models and Methods in Applied Sciences, 2023.
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• J. Sogn and S. Takacs.
• Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch Isogeometric Analysis.
• ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57 (2), p. 921 – 925, 2023.
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• J. Sogn and S. Takacs.
• Multigrid solvers for isogeometric discretizations of the second biharmonic problem.
• To Appear in: Mathematical Models and Methods in Applied Sciences, 2023.
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• R. Schneckenleitner and S. Takacs.
• IETI-DP for conforming multi-patch Isogeometric Analysis in three dimensions.
• In S.C. Brenner, W. Chung, A. Klawonn, F. Kwok, J., Xu and J. Zou (eds): Domain Decomposition Methods in Science and Engineering XXVI, p. 555 – 562, 2023.
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• R. Schneckenleitner and S. Takacs.
• Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains.
• In S.C. Brenner, W. Chung, A. Klawonn, F. Kwok, J., Xu and J. Zou (eds): Domain Decomposition Methods in Science and Engineering XXVI, p. 532 – 530, 2023.
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2022

• Helmut Gfrerer, Jiří V. Outrata and Jan Valdman.
• On the application of the SCD semismooth* Newton method to variational inequalities of the second kind.
• Set-Valued Var. Anal., vol.30, p. 1453-1484, 2022.
• I. Cortes Garcia, H. Egger, and V. Shahskov
• MONA -- A magnetic oriented nodal analysis for electric circuits.
• Int. J. Circuit Theory Appl. 20 (2022), 2997-3012.
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• H. Egger, J. Giesselmann, T. Kunkel, and N. Philippi
• An asymptotic-preserving discretization scheme for gas transport in pipe networks.
• IMA J. Numer. Math. (2022), drac032.
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• H. Egger, M. Harutyunyan, R. Löscher, M. Merkel, and S. Schöps
• On torque computation in electric machine simulation by harmonic mortar methods.
• Journal of Mathematics in Industry 12 (2022), art.no. 6
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• H. Gfrerer, M. Mandlmayr, J. V. Outrata, and J. Valdman.
• On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction.
• Comp. Optim. Appl., 2022.
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• H. Gfrerer and J. V. Outrata.
• On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives.
• J. Math. Anal. Appl., vol. 508 (2), p. 125895, 2022.
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• H. Gfrerer, J. V. Outrata, and J. Valdman.
• On the solution of contact problems with Tresca friction by the semismooth* newton method.
• In: Large-Scale Scientific Computing, p. 515 – 523, 2022.
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• H. Gfrerer, J. J Ye, and J. Zhou.
• Second-order optimality conditions for nonconvex set-constrained optimization problems.
• Math. Oper. Res., 2022.
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• M. Kaltenbacher, K. Roppert, L. D. Domenig, and H. Egger
• Comparison of Energy Based Hysteresis Models.
• COMPUMAG 2022, pp. 1-4.
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• U. Langer and A. Schafelner.
• Simultaneous space-time finite element methods for parabolic optimal control problems.
• In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing, 13th International Conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021 Revised Selected Papers, p. 314 – 321, 2022.
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• U. Langer, A. Schafelner, O. Steinbach, F. Tröltzsch, and H. Yang.
• Adaptive Space-Time Finite Element Methods for Parabolic Optimal Control Problems.
• In S. Larsson, R. Nochetto, S. Sauter, C. Wieners (ed.): Report No. 06/2022 on the Workshop on ''Space-Time Methods for Time-Dependent Partial Differential Equations'', 6 – 12 Februray 2022, Oberwolfach, Germany, 2022.
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• U. Langer, O. Steinbach, F. Tröltzsch, and H. Yang.
• Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations.
• In R. Herzog, M. Heinkenschloss, D. Kalise, G. Stadler, E. Trélat (ed.): Optimization and Control for PDEs, p. 167 – 188, 2022.
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• U. Langer, O. Steinbach, and H. Yang.
• Robust discretization and solvers for elliptic optimal control problems with energy regularization.
• Comput. Meth. Appl. Math., vol. 22 (1), p. 97 – 111, 2022.
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• K.-A. Mardal, J. Sogn, and S. Takacs.
• Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis.
• SIAM Journal on Numerical Analysis, vol. 60 (1), p. 195 – 221, 2022.
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• R. Schneckenleitner and S. Takacs.
• IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions.
• Computer Methods in Applied Mechanics and Engineering, vol. 393 (Article 114694), 2022.
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• R. Schneckenleitner and S. Takacs.
• Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in h and p.
• Computational Methods in Applied Mathematics, vol. 22 (1), p. 199 – 225, 2022.
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• Y. Yang, M. Fathidoost, T. D. Oyedeji, P. Bondi, X. Zhou, H. Egger and B.-X. Xu
• A diffuse-interface model of anisotropic interface thermal conductivity and its application in thermal homogenization of composites.
• Scripta Materialia 212 (2022), 114537
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2021

• J. Dölz, H. Egger, and M. Schlottbom.
• A model reduction approach for inverse problems with operator valued data.
• Numer. Math. 2021
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• B. Endtmayer, U. Langer, and T. Wick.
• Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering.
• Comput. Methods Appl. Math., vol. 21 (2), p. 351 – 371, 2021.
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• H. Gfrerer and J. V Outrata.
• On a semismooth* Newton method for solving generalized equations.
• SIAM J. Optim., vol. 31 (1), p. 489 – 517, 2021.
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• U. Langer and A. Schafelner.
• Adaptive space-time finite element methods for parabolic optimal control problems.
• Journal of Numerical Mathematics, no. 2021-07, 2021.
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• U. Langer, O. Steinbach, F. Tröltzsch, and H. Yang.
• Space-time finite element discretization of parabolic optimal control problems with energy regularization.
• SIAM Journal on Numerical Analysis, vol. 59 (2), p. 660 –674, 2021.
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• U. Langer, O. Steinbach, F. Tröltzsch, and H. Yang.
• Unstructured space-time finite element methods for optimal control of parabolic equation.
• SIAM Journal on Scientific Computing, vol. 43 (2), p. A744–A771, 2021.
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• U. Langer and M. Zank.
• Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces.
• SIAM Journal on Scientific Computing, vol. 43 (4), p. A2714–A2736, 2021.
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• D. Pauly and W. Zulehner.
• The elasticity complex: compact embeddings and regular decompositions.
• Applicable Analysis, 2021.
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2020

• A. Beigl, O. Scherzer, J. Sogn, and W. Zulehner.
• Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography.
• Inverse Problems, vol. 36 (1), p. 014002, 19, 2020.
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• A. Beigl, J. Sogn, and W. Zulehner.
• Robust preconditioners for multiple saddle point problems and applications to optimal control problems.
• SIAM J. Matrix Anal. Appl., vol. 41 (4), p. 1590 – 1615, 2020.
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• M. Benko, H. Gfrerer, and J. V. Outrata.
• Stability analysis for parameterized variational systems with implicit constraints.
• Set-Valued Var. Anal., vol. 28 (1), p. 167 – 193, 2020.
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• A. L. Dontchev, H. Gfrerer, A. Y. Kruger, and J. V Outrata.
• The radius of metric subregularity.
• Set-Valued Var. Anal., vol. 28 (3), p. 451 – 473, 2020.
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• B. Endtmayer, U. Langer, I. Neitzel, W. Wollner, and T. Wick.
• Multigoal-oriented optimal control problems with nonlinear PDE constraints.
• Computers and Mathematics with Applications, vol. 79 (10), p. 3001 – 3026, 2020.
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• B. Endtmayer, U. Langer, J.P. Thiele, and T. Wick.
• Hierarchical DWR Error Estimates for the Navier-Stokes Equation: h and p Enrichment.
• In F.J. Vermolen and C. Vuik (eds.): Numerical Mathematics and Advanced Applications (ENUMATH 2019), 2020.
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• B. Endtmayer, U. Langer, and T. Wick.
• Two-Side a Posteriori Error Estimates for the DWR Method.
• SIAM Journal on Scientific Computing, vol. 42 (1), p. A371 – A394, 2020.
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• P. Gangl, U. Langer, A. Mantzaflaris, and R. Schneckenleitner.
• Isogeometric Simulation and Shape Optimization with Applications to Electrical Machines.
• In G. Nicosia and V. Romano (eds.): Scientific Computing in Electrical Engineering: SCEE 2018, Taormina, Italy, September 2018, p. 35 – 43, 2020.
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• H. Gfrerer and J. V. Outrata.
• On the Aubin property of solution maps to parameterized variational systems with implicit constraints.
• Optimization, vol. 69 (7-8), p. 1681 – 1701, 2020.
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• H. Gfrerer and J. J. Ye.
• New sharp necessary optimality conditions for mathematical programs with equilibrium constraints.
• Set-Valued Var. Anal., vol. 28 (2), p. 395 – 426, 2020.
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• D. Jodlbauer, U. Langer, and T. Wick.
• Matrix-free multigrid solvers for phase-field fracture problems.
• Computer Methods in Applied Mechanics and Engineering, vol. 372, p. 113431, 2020.
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• D. Jodlbauer, U. Langer, and T. Wick.
• Parallel matrix-free higher-order finite element solvers for phase-field fracture problems.
• Mathematical and Computational Applications, vol. 25 (3), p. 40, 2020.
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• U. Langer and A. Schafelner.
• Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources.
• Computational Methods in Applied Mathematics, vol. 20 (4), p. 677 – 693, 2020.
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• U. Langer and A. Schafelner.
• Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions..
• In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing. LSSC 201, p. 593 – 600, 2020.
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• D. Pauly and W. Zulehner.
• The divDiv-complex and applications to biharmonic equations.
• Appl. Anal., vol. 99 (9), p. 1579 – 1630, 2020.
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• R. Schneckenleitner and S. Takacs.
• Condition number bounds for IETI-DP methods that are explicit in h and p.
• Mathematical Models and Methods in Applied Sciences, vol. 30 (11), p. 2067 – 2103, 2020.
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2019

• M. Benko, H. Gfrerer, and B. S. Mordukhovich.
• Characterizations of tilt-stable minimizers in second-order cone programming.
• SIAM J. Optim., vol. 29 (4), p. 3100 – 3130, 2019.
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• M. Benko, H. Gfrerer, and J. V. Outrata.
• Calculus for directional limiting normal cones and subdifferentials.
• Set-Valued Var. Anal., vol. 27 (3), p. 713 – 745, 2019.
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• B. Endtmayer, U. Langer, I. Neitzel, T. Wick, and W. Wollner.
• Mesh adaptivity and error estimates applied to a regularized p-Laplacian constrained optimal control problem for multiple quantities of interest.
• PAMM, vol. 19 (1), p. e201900231, 2019.
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• B. Endtmayer, U. Langer, and T. Wick.
• Multigoal-Oriented Error Estimates for Non-linear Problems.
• Journal of Numerical Mathematics, vol. 27 (4), p. 215 – 236, 2019.
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• H. Gfrerer.
• Linearized M-stationarity conditions for general optimization problems.
• Set-Valued Var. Anal., vol. 27 (3), p. 819 – 840, 2019.
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• H. Gfrerer and B. S. Mordukhovich.
• Second-order variational analysis of parametric constraint and variational systems.
• SIAM J. Optim., vol. 29 (1), p. 423 – 453, 2019.
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• C. Hofer and U. Langer.
• Dual-Primal Isogeometric Tearing and Interconnecting Methods.
• In B.N. Chetverushkin, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittanmakki, J. Periaux, and O. Piroeau (eds.): Contributions to Partial Differential Equations and Applications, p. 273 – 296, 2019.
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• C. Hofer, U. Langer, M. Neumüller, and R. Schneckenleitner.
• Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems.
• SIAM Journal on Scientific Computing, vol. 41 (3), p. A1793 – A1821, 2019.
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• C. Hofer, U. Langer, and S. Takacs.
• Inexact dual-primal isogeometric tearing and interconnecting methods.
• In P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, and O. B. Widlund (eds.): Domain Decomposition Methods in Science and Engineering XXIV, p. 397 – 406, 2019.
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• C. Hofer, U. Langer, and I. Toulopoulos.
• Isogeometric Analysis on Non-matching Segmentation: Discontinuous Galerkin Techniques and Efficient Solvers.
• Journal of Applied Mathematics and Computing, vol. 61 (1-2), p. 297 – 336, 2019.
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• D. Jodlbauer, U. Langer, and T. Wick.
• Parallel Block-Preconditioned Monolithic Solvers for Fluid-Structure-Interaction Problems.
• International Journal for Numerical Methods in Engineering, vol. 117, p. 623 – 643, 2019.
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• S. Kyas, U. Langer, and S. Repin.
• Adaptive Space-Time Isogeometric Analysis of Parabolic Equations.
• In A. Buffa, T. Hughes, A. Kunoth, C. Manni (ed.): Report No. 33 /2019 on the Workshop on ''Mathematical Foundations of Isogeometric Analysis'', 14 – 20 July 2019, Oberwolfach, Germany, p. 1981 – 2032, 2019.
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• S. Kyas, U. Langer, and S. Repin.
• Space-Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial Domains.
• PAMM, vol. 19 (1), p. e201900504, 2019.
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• U. Langer, S. Matculevich, and S. Repin.
• Adaptive space–time Isogeometric Analysis for parabolic evolution problems.
• In U. Langer and O. Steinbach (eds.): Space–Time Methods: Applications to Partial Differential Equations, p. 155 – 200, 2019.
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• U. Langer, S. Matculevich, and S. Repin.
• Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems.
• Computers and Mathematics with Applications, vol. 78, p. 2641 – 2671, 2019.
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• U. Langer, M. Neumüller, and A. Schafelner.
• Space-time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients.
• In T. Apel, U. Langer, A. Meyer, and O. Steinbach (eds.): Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017, p. 229 – 256, 2019.
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• U. Langer and A. Schafelner.
• Adaptive space-time finite element solvers for parabolic initial-boundary value problems with non-smooth solutions.
• PAMM, vol. 1 (19), p. e201900305, 2019.
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• K. Rafetseder and W. Zulehner.
• A new mixed approach to Kirchhoff-Love shells.
• Comput. Methods Appl. Mech. Engrg., vol. 346, p. 440 – 455, 2019.
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• K. Rafetseder and W. Zulehner.
• On a new mixed formulation of Kirchhoff plates on curvilinear polygonal domains.
• In: Numerical mathematics and advanced applications–-ENUMATH 2017, p. 869 – 877, 2019.
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• J. Sogn and S. Takacs.
• Robust multigrid solvers for the biharmonic problem in Isogeometric Analysis.
• Computers and Mathematics with Applications, vol. 77 (1), p. 105 – 124, 2019.
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• J. Sogn and W. Zulehner.
• Schur complement preconditioners for multiple saddle point problems of block tridiagonal form with application to optimization problems.
• IMA J. Numer. Anal., vol. 39 (3), p. 1328 – 1359, 2019.
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2018

• M. Benko and H. Gfrerer.
• New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints.
• Optimization, vol. 67 (1), p. 1 – 23, 2018.
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• D. Drzisga, L. John, U. Rüde, B. Wohlmuth, and W. Zulehner.
• On the analysis of block smoothers for saddle point problems.
• SIAM J. Matrix Anal. Appl., vol. 39 (2), p. 932 – 960, 2018.
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• B. Endtmayer, U. Langer, and T. Wick.
• Multiple goal-oriented error estimates applied to 3d non-linear problems.
• PAMM, vol. 18 (1), 2018.
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• P. Gangl and U. Langer.
• A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization.
• In U. Langer, W. Amrhein, and W. Zulehner (eds.): Scientific Computing in Electrical Engineering, SCEE 2016, St. Wolfgang, Austria, October 2016, p. 147 – 155, 2018.
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• C. Hofer, U. Langer, M. Neumüller, and I. Toulopoulos.
• Time-Multipatch Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Evolution Problems.
• Electronic Transactions on Numerical Analysis, vol. 49, p. 126 – 150, 2018.
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• D. Jodlbauer, U. Langer, and T. Wick.
• Parallel Block-Preconditioned Monolithic Solvers for Fluid-Structure-Interaction Problems.
• International Journal for Numerical Methods in Engineering, vol. 117, p. 623 – 643, 2018.
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• U. Langer, S. Matculevich, and S. Repin.
• Functional type error control for stabilised space-time IgA approximations to parabolic problems.
• In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing (LSSC 2017), p. 55 – 65, 2018.
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• U. Langer, M. Neumüller, and I. Toulopoulos.
• Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems.
• In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing (LSSC 2017), p. 21 – 32, 2018.
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• U. Langer and H. Yang.
• Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models: A Monolithic Approach.
• Mathematics and Computers in Simulation, vol. 145, p. 186 – 208, 2018.
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• K. Rafetseder and W. Zulehner.
• A decomposition result for Kirchhoff plate bending problems and a new discretization approach.
• SIAM J. Numer. Anal., vol. 56 (3), p. 1961 – 1986, 2018.
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For more information and older publications, please consult the FODOK and the websites of the individual members of the institute.

Books

• V. Korneev and U. Langer.
• Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: $h$ and $hp$ Finite Element Discretizations.
• World Scientific Publishing, New Jersey - London - Singapore. 2015.
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• M. Jung and U. Langer.
• Methode der finiten Elemente für Ingenieure: Eine Einführung in die numerischen Grundlagen und Computersimulation.
• Springer-Vieweg, Darmstadt. 2013.
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• C. Pechstein.
• Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems.
• Lecture Notes in Computational Science and Engineering, vol. 90, Springer, Wien. 2013.
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• W. Zulehner.
• Numerische Mathematik. Eine Einführung anhand von Differentialgleichungsproblemen. Band 2: Instationäre Probleme.
• Mathematik Kompakt, Birkhäuser, Basel. 2011.
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• W. Zulehner.
• Numerische Mathematik. Eine Einführung anhand von Differentialgleichungsproblemen. Band 1: Stationäre Probleme.
• Mathematik Kompakt, Birkhäuser, Basel. 2008.
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• M. Wabro.
• Algebraic Multigrid Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations.
• Universitätsverlag Rudolf Trauner, Linz. 2003.
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• J. Valdman.
• Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation.
• dissertation.de - Verlag im Internet GmbH, Berlin. 2002.
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• C. Douglas, G. Haase, and U. Langer.
• A Tutorial on Elliptic PDE Solvers and their Parallelization.
• SIAM Series on Software, Environments, and Tools, vol. 16, SIAM, Philadelphia. 2002.
• Supplemental material
• M. Jung and U. Langer.
• Methode der finiten Elemente für Ingenieure - Eine Einführung in die numerischen Grundlagen und Computersimulation.
• Teubner, Stuttgart - Leipzig - Wiesbaden. 2001.
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• S. Reitzinger.
• Algebraic Multigrid Methods for Large Scale Finite Element Equations.
• Universitätsverlag Rudolf Trauner, Linz. 2001.
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• G. Haase.
• Parallelisierung numerischer Algorithmen für partielle Differentialgleichungen.
• Teubner, Stuttgart-Leipzig. 1999.
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• R. Scheichl.
• Parallel Solution of the Transient Multigroup Neutron Diffusion Equations with Multi-Grid and Preconditioned Krylov-Subspace Methods.
• Universitätsverlag Rudolf Trauner, Linz. 1997.
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• F. Kickinger.
• Tools for the Numerical Simulation of 3D Magnetic Field Problems: Construction, Analysis and C++ Implementation.
• Universitätsverlag Rudolf Trauner, Linz. 1997.
•