UC Logo

Thomas Führer

Publications

Preprints

2024
[4] Quasi-interpolators with application to postprocessing in finite element methods (Thomas Führer, Manuel A. Sánchez), In arXiv.org, volume arXiv:2404.13183, 2024.
[3] Mixed finite element methods for elliptic obstacle problems (Thomas Führer, Francisco Fuica), In arXiv.org, volume arXiv:2406.09605, 2024.
[2] Robust hybrid finite element methods for reaction-dominated diffusion problems (Thomas Führer, Diego Paredes), In arXiv.org, volume arXiv:2404.12956, 2024.
2023
[1] Well-posedness of first-order acoustic wave equations and space-time finite element approximation (Thomas Führer, Roberto González, Michael Karkulik), In arXiv.org, volume arXiv:2311.10536, 2023.

Articles

2024
[59] Mixed finite elements for Kirchhoff-Love plate bending (Thomas Führer, Norbert Heuer), In Math. Comp., volume Published electronically: July 9, 2024, 2024. [preprint]
[58] On a mixed FEM and a FOSLS with H^−1 loads (Thomas Führer), In Comput. Methods Appl. Math., volume 24, 2024. [preprint]
[57] Space-time finite element methods for parabolic distributed optimal control problems (Thomas Führer, Michael Karkulik), In Comput. Methods Appl. Math., volume published online, 2024. [preprint]
[56] A DPG method for linear quadratic optimal control problems (Thomas Führer, Francisco Fuica), In Comput. Math. Appl., volume 166, 2024. [preprint]
[55] Robust DPG Test Spaces and Fortin Operators --- The H^1 and H(div) Cases (Thomas Führer, Norbert Heuer), In SIAM J. Numer. Anal., volume 62, 2024. [preprint]
2023
[54] Least-squares finite elements for distributed optimal control problems (Thomas Führer, Michael Karkulik), In Numer. Math., volume 154, 2023. [preprint]
[53] First-order system least-squares finite element method for singularly perturbed Darcy equations (Thomas Führer, Juha Videman), In ESAIM Math. Model. Numer. Anal., volume 57, 2023. [preprint]
[52] A DPG method for the quad-curl problem (Thomas Führer, Pablo Herrera, Norbert Heuer), In Comput. Math. Appl., volume 149, 2023. [preprint]
[51] A discontinuous Petrov-Galerkin method for Reissner-Mindlin plates (Thomas Führer, Norbert Heuer, Antti H. Niemi), In SIAM J. Numer. Anal., volume 61, 2023. [preprint]
2022
[50] MINRES for second-order PDEs with singular data (Thomas Führer, Norbert Heuer, Michael Karkulik), In SIAM J. Numer. Anal., volume 60, 2022. [preprint]
[49] DPG methods for a fourth-order div problem (Thomas Führer, Pablo Herrera, Norbert Heuer), In Comput. Methods Appl. Math., volume online, 2022. [preprint]
[48] A DPG method for shallow shells (Thomas Führer, Norbert Heuer, Antti H. Niemi), In Numer. Math., volume 152, 2022. [preprint]
2021
[47] A Locking-free DPG scheme for Timoshenko Beams (Thomas Führer, Carlos García Vera, Norbert Heuer), In Comput. Methods Appl. Math., volume 21, 2021. [preprint]
[46] Multilevel decompositions and norms for negative order Sobolev spaces (Thomas Führer), In Math. Comp., volume 91, 2021. [preprint]
[45] Space-time least-squares finite elements for parabolic equations (Thomas Führer, Michael Karkulik), In Comput. Math. Appl., volume 92, 2021. [preprint]
[44] The Double Adaptivity Paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi) (Leszek Demkowicz, Thomas Führer, Norbert Heuer, Xiaochuan Tian), In Comput. Math. Appl., volume 95, 2021. [preprint]
[43] Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation (Thomas Führer), In Comput. Math. Appl., volume 95, 2021. [preprint]
[42] A robust DPG method for large domains (Thomas Führer, Norbert Heuer), In Comput. Math. Appl., volume 94, 2021. [preprint]
[41] Trace operators of the bi-Laplacian and applications (Thomas Führer, Alexander Haberl, Norbert Heuer), In IMA J. Numer. Anal., volume 41, 2021. [preprint]
[40] Analysis of backward Euler primal DPG methods (Thomas Führer, Norbert Heuer, Michael Karkulik), In Comput. Methods Appl. Math., volume 21, 2021.
2020
[39] A short note on plain convergence of adaptive least-squares finite element methods (Thomas Führer, Dirk Praetorius), In Comput. Math. Appl., volume 80, 2020. [preprint]
[38] First-Order Least-Squares Method for the Obstacle Problem (Thomas Führer), In Numer. Math., volume 144, 2020. [preprint]
[37] An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation (Thomas Führer, Norbert Heuer, Francisco-Javier Sayas), In Numer. Math., volume 145, 2020. [preprint]
2019
[36] Adaptive Uzawa algorithm for the Stokes equation (Giovanni Di Fratta, Thomas Führer, Gregor Gantner, Dirk Praetorius), In ESAIM Math. Model. Numer. Anal., volume 53, 2019.
[35] Superconvergent DPG methods for second order elliptic problems (Thomas Führer), In Comput. Methods Appl. Math., volume 19, 2019. [preprint]
[34] Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Thomas Führer, Gregor Gantner, Dirk Praetorius, Stefan Schimanko), In Comput. Methods Appl. Mech. Engrg., volume 351, 2019. [preprint]
[33] New a priori analysis of first-order system least-squares finite element methods for parabolic problems (Thomas Führer, Michael Karkulik), In Numer. Methods Partial Differential Equations, volume 35, 2019. [preprint]
[32] Fully discrete DPG methods for the Kirchhoff--Love plate bending model (Thomas Führer, Norbert Heuer), In Comput. Methods Appl. Mech. Engrg., volume 343, 2019. [preprint]
[31] An ultraweak formulation of the Kirchhoff--Love plate bending model and DPG approximation (Thomas Führer, Norbert Heuer, Antti H. Niemi), In Math. Comp., volume 88, 2019. [preprint]
[30] Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two (Thomas Führer, Norbert Heuer), In Journal of Scientific Computing, volume 79, 2019. [preprint]
[29] Adaptive BEM with inexact PCG solver yields almost optimal computational costs (Thomas Führer, Alexander Haberl, Dirk Praetorius, Stefan Schimanko), In Numer. Math., volume 141, 2019. [preprint]
2018
[28] A wirebasket preconditioner for the mortar boundary element method (Thomas Führer, Norbert Heuer), In Adv. Comput. Math., volume 44, 2018. [preprint]
[27] A linear Uzawa-type solver for nonlinear transmission problems (Thomas Führer, Dirk Praetorius), In Comput. Math. Appl., volume 75, 2018. [preprint]
[26] Superconvergence in a DPG method for an ultra-weak formulation (Thomas Führer), In Comput. Math. Appl., volume 75, 2018. [preprint]
[25] On the DPG method for Signorini problems (Thomas Führer, Norbert Heuer, Ernst P. Stephan), In IMA J. Numer. Anal., volume 38, 2018. [preprint]
[24] Combining the DPG method with finite elements (Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez), In Comput. Methods Appl. Math., volume 18, 2018. [preprint]
2017
[23] Local inverse estimates for non-local boundary integral operators (Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens M. Melenk, Dirk Praetorius), In Math. Comp., volume 86, 2017. [preprint]
[22] Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations (Michael Feischl, Thomas Führer, Dirk Praetorius, Ernst P. Stephan), In Calcolo, volume 54, 2017. [preprint]
[21] Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements (Michael Feischl, Thomas Führer, Dirk Praetorius, Ernst P. Stephan), In Numer. Methods Partial Differential Equations, volume 33, 2017. [preprint]
[20] DPG method with optimal test functions for a fractional advection diffusion equation (Vincent J. Ervin, Thomas Führer, Norbert Heuer, Michael Karkulik), In J. Sci. Comput., volume 72, 2017. [preprint]
[19] A time-stepping DPG scheme for the heat equation (Thomas Führer, Norbert Heuer, Jhuma Sen Gupta), In Comput. Methods Appl. Math., volume 17, 2017. [preprint]
[18] Robust coupling of DPG and BEM for a singularly perturbed transmission problem (Thomas Führer, Norbert Heuer), In Comput. Math. Appl., volume 74, 2017. [preprint]
[17] On the coupling of DPG and BEM (Thomas Führer, Norbert Heuer, Michael Karkulik), In Math. Comp., volume 86, 2017. [preprint]
2016
[16] Adaptive boundary element methods for optimal convergence of point errors (Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius, Thomas Führer), In Numer. Math., volume 132, 2016. [preprint]
[15] Efficient numerical computation of direct exchange areas in thermal radiation analysis (Michael Feischl, Thomas Führer, Martin Niederer, Stephan Strommer, Andreas Steinboeck, Dirk Praetorius), In Numer. Heat. Tran. B, volume 69, 2016. [preprint]
2015
[14] Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part II: Hyper-singular integral equation (Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius), In Electron. Trans. Numer. Anal., volume 44, 2015. [preprint]
[13] Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems (Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius), In Numer. Math., volume 130, 2015. [preprint]
[12] Adaptive Boundary Element Methods (Michael Feischl, Thomas Führer, Norbert Heuer, Michael Karkulik, Dirk Praetorius), In Arch. Comput. Methods Engrg., volume 22, 2015. [preprint]
[11] Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes (Thomas Führer, Jens M. Melenk, Dirk Praetorius, Alexander Rieder), In Comput. Math. Appl., volume 70, 2015. [preprint]
[10] Energy norm based error estimators for adaptive BEM for hypersingular integral equations (Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius), In Appl. Numer. Math., volume 95, 2015. [preprint]
2014
[9] Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation (Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius), In Calcolo, volume 51, 2014. [preprint]
[8] Multiscale modeling in micromagnetics: existence of solutions and numerical integration (Florian Bruckner, Dieter Suess, Michael Feischl, Thomas Führer, Petra Goldenits, Marcus Page, Dirk Praetorius, Michele Ruggeri), In Math. Models Methods Appl. Sci., volume 24, 2014. [preprint]
[7] Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without $h$-weighting factor (Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst P. Stephan), In Comput. Methods Appl. Math., volume 14, 2014. [preprint]
[6] HILBERT---a MATLAB implementation of adaptive 2D-BEM (Markus Aurada, Michael Ebner, Michael Feischl, Samuel Ferraz-Leite, Thomas Führer, Petra Goldenits, Michael Karkulik, Markus Mayr, Dirk Praetorius), In Numer. Algorithms, volume 67, 2014. [preprint]
[5] Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems (Michael Feischl, Thomas Führer, Dirk Praetorius), In SIAM J. Numer. Anal., volume 52, 2014. [preprint]
[4] ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve (Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius), In Eng. Anal. Bound. Elem., volume 38, 2014. [preprint]
2013
[3] Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods (Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius), In Comput. Methods Appl. Math., volume 13, 2013. [preprint]
[2] Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity (Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius), In Comput. Mech., volume 51, 2013. [preprint]
[1] Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations (Florian Bruckner, Christoph Vogler, Bernhard Bergmair, Thomas Huber, Markus Fuger, Dieter Suess, Michael Feischl, Thomas Führer, Marcus Page, Dirk Praetorius), In J. Magn. Magn. Mater., volume 343, 2013.

Proceedings

2018
[5] DPG for plate problems --- traces (Thomas Führer, Alexander Haberl, Norbert Heuer, Antti H. Niemi), In Oberwolfach Workshop on Computational Engineering (Workshop ID: 1843), Oberwolfach, 21.10--27.10.2018, 2018.
2014
[4] Optimal preconditioning for the coupling of adaptive finite elements and boundary elements (Michael Feischl, Thomas Führer, Ernst P. Stephan, Dirk Praetorius), In 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 2014.
2013
[3] Quasi-optimal adaptive BEM (Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius), In IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2013-11.01.2013, 2013.
[2] Novel inverse estimates for non-local operators (Michael Feischl, Thomas Führer, Michael Karkulik, Jens M. Melenk, Dirk Praetorius), In IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2013-11.01.2013, 2013.
[1] FEM-BEM couplings without stabilization (Michael Feischl, Thomas Führer, Michael Karkulik, Jens M. Melenk, Dirk Praetorius), In IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2013-11.01.2013, 2013.

Theses

2014
[3] Zur Kopplung von finiten Elementen und Randelementen (Thomas Führer), PhD thesis, Vienna University of Technology, 2014. (Supervised by Dirk Praetorius and Ernst P. Stephan)
[2] Adaptive BEM und FEM-BEM-Kopplung für die Lamé-Gleichung (Gregor Mitscha-Eibl), Master's thesis, Vienna University of Technology, 2014. (Supervised by Dirk Praetorius and Thomas Führer)
2010
[1] Numerische Berechnung des magnetischen Streufelds (Thomas Führer), Master's thesis, Vienna University of Technology, 2010. (Supervised by Dirk Praetorius)

Note

The publication list was generated with help of BIBTEXBROWSER