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ORCIDMichael Karkulik
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2020 – today
- 2024
[j22]Thomas Führer
, Michael Karkulik:
Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems. Comput. Methods Appl. Math. 24(3): 673-692 (2024)- [i9]Thomas Führer, Gregor Gantner, Michael Karkulik:
Space-time FEM-BEM couplings for parabolic transmission problems. CoRR abs/2409.14449 (2024) - 2023
- [j21]Thomas Führer, Michael Karkulik:
Least-squares finite elements for distributed optimal control problems. Numerische Mathematik 154(3-4): 409-442 (2023) - [i8]Michael Karkulik, Jens Markus Melenk, Alexander Rieder:
On interpolation spaces of piecewise polynomials on mixed meshes. CoRR abs/2306.16907 (2023) - [i7]Thomas Führer, Roberto González, Michael Karkulik:
Well-posedness of first-order acoustic wave equations and space-time finite element approximation. CoRR abs/2311.10536 (2023) - 2022
- [j20]Markus Faustmann, Michael Karkulik, Jens Markus Melenk:
Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM J. Numer. Anal. 60(3): 1055-1082 (2022) - [j19]Thomas Führer, Norbert Heuer, Michael Karkulik:
MINRES for Second-Order PDEs with Singular Data. SIAM J. Numer. Anal. 60(3): 1111-1135 (2022) - [i6]Thomas Führer, Michael Karkulik:
Space-time finite element methods for parabolic distributed optimal control problems. CoRR abs/2208.09879 (2022) - [i5]Thomas Führer, Michael Karkulik:
Least-squares finite elements for distributed optimal control problems. CoRR abs/2210.16377 (2022) - 2021
- [j18]Thomas Führer, Michael Karkulik:
Space-time least-squares finite elements for parabolic equations. Comput. Math. Appl. 92: 27-36 (2021) - [j17]Thomas Führer, Norbert Heuer, Michael Karkulik:
Analysis of Backward Euler Primal DPG Methods. Comput. Methods Appl. Math. 21(4): 811-826 (2021) - [i4]Thomas Führer, Norbert Heuer, Michael Karkulik:
Analysis of backward Euler primal DPG methods. CoRR abs/2103.12181 (2021) - [i3]Thomas Führer, Norbert Heuer, Michael Karkulik:
MINRES for second-order PDEs with singular data. CoRR abs/2111.00103 (2021) - 2020
- [j16]Michael Karkulik:
A Finite Element Method for Elliptic Dirichlet Boundary Control Problems. Comput. Methods Appl. Math. 20(4): 827-843 (2020) - [i2]Markus Faustmann, Michael Karkulik, Jens Markus Melenk:
Local convergence of the FEM for the integral fractional Laplacian. CoRR abs/2005.14109 (2020)
2010 – 2019
- 2019
- [j15]Michael Karkulik, Jens Markus Melenk:
H-matrix approximability of inverses of discretizations of the fractional Laplacian. Adv. Comput. Math. 45(5): 2893-2919 (2019) - [i1]Thomas Führer, Michael Karkulik:
Space-time least-squares finite elements for parabolic equations. CoRR abs/1911.01942 (2019) - 2018
- [j14]Michael Karkulik:
Variational formulation of time-fractional parabolic equations. Comput. Math. Appl. 75(11): 3929-3938 (2018) - [j13]Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez:
Combining the DPG Method with Finite Elements. Comput. Methods Appl. Math. 18(4): 639-652 (2018) - 2017
- [j12]Vincent J. Ervin, Thomas Führer, Norbert Heuer, Michael Karkulik:
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation. J. Sci. Comput. 72(2): 568-585 (2017) - [j11]Thomas Führer, Norbert Heuer, Michael Karkulik:
On the coupling of DPG and BEM. Math. Comput. 86(307): 2261-2284 (2017) - [j10]Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius:
Local inverse estimates for non-local boundary integral operators. Math. Comput. 86(308): 2651-2686 (2017) - [j9]Norbert Heuer, Michael Karkulik:
Discontinuous Petrov-Galerkin boundary elements. Numerische Mathematik 135(4): 1011-1043 (2017) - [j8]Norbert Heuer, Michael Karkulik:
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. 55(3): 1218-1242 (2017) - 2015
- [j7]Norbert Heuer, Michael Karkulik:
DPG method with optimal test functions for a transmission problem. Comput. Math. Appl. 70(5): 1070-1081 (2015) - [j6]Michael Karkulik, Jens Markus Melenk:
Local high-order regularization and applications to hp-methods. Comput. Math. Appl. 70(7): 1606-1639 (2015) - [j5]Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius:
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Numerische Mathematik 130(2): 199-223 (2015) - 2014
- [j4]Norbert Heuer, Michael Karkulik, Francisco-Javier Sayas:
Note on discontinuous trace approximation in the practical DPG method. Comput. Math. Appl. 68(11): 1562-1568 (2014) - [j3]Markus Aurada, Michael Ebner, Michael Feischl, Samuel Ferraz-Leite, Thomas Führer, Petra Goldenits, Michael Karkulik, Markus Mayr, Dirk Praetorius:
HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool. Numer. Algorithms 67(1): 1-32 (2014) - 2013
- [j2]Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius:
Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods. Comput. Methods Appl. Math. 13(3): 305-332 (2013) - [j1]Michael Feischl, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius:
Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. SIAM J. Numer. Anal. 51(2): 1327-1348 (2013)
Coauthor Index
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