Michael Karkulik

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 23

Top Topics

Variational Formulation

Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

SIAM J. Numer. Anal.

Publications

Thomas Führer, Michael Karkulik
Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems. Comput. Methods Appl. Math. 24 (3) (2024)
Michael Karkulik, Jens Markus Melenk, Alexander Rieder
On interpolation spaces of piecewise polynomials on mixed meshes. CoRR (2023)
Thomas Führer, Roberto González, Michael Karkulik
Well-posedness of first-order acoustic wave equations and space-time finite element approximation. CoRR (2023)
Thomas Führer, Michael Karkulik
Least-squares finite elements for distributed optimal control problems. Numerische Mathematik 154 (3-4) (2023)
Thomas Führer, Norbert Heuer, Michael Karkulik
MINRES for Second-Order PDEs with Singular Data. SIAM J. Numer. Anal. 60 (3) (2022)
Thomas Führer, Michael Karkulik
Space-time finite element methods for parabolic distributed optimal control problems. CoRR (2022)
Markus Faustmann, Michael Karkulik, Jens Markus Melenk
Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM J. Numer. Anal. 60 (3) (2022)
Thomas Führer, Michael Karkulik
Least-squares finite elements for distributed optimal control problems. CoRR (2022)
Thomas Führer, Norbert Heuer, Michael Karkulik
Analysis of backward Euler primal DPG methods. CoRR (2021)
Thomas Führer, Norbert Heuer, Michael Karkulik
MINRES for second-order PDEs with singular data. CoRR (2021)
Thomas Führer, Norbert Heuer, Michael Karkulik
Analysis of Backward Euler Primal DPG Methods. Comput. Methods Appl. Math. 21 (4) (2021)
Thomas Führer, Michael Karkulik
Space-time least-squares finite elements for parabolic equations. Comput. Math. Appl. 92 (2021)
Markus Faustmann, Michael Karkulik, Jens Markus Melenk
Local convergence of the FEM for the integral fractional Laplacian. CoRR (2020)
Michael Karkulik
A Finite Element Method for Elliptic Dirichlet Boundary Control Problems. Comput. Methods Appl. Math. 20 (4) (2020)
Thomas Führer, Michael Karkulik
Space-time least-squares finite elements for parabolic equations. CoRR (2019)
Michael Karkulik, Jens Markus Melenk
H-matrix approximability of inverses of discretizations of the fractional Laplacian. Adv. Comput. Math. 45 (5) (2019)
Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez
Combining the DPG Method with Finite Elements. Comput. Methods Appl. Math. 18 (4) (2018)
Michael Karkulik
Variational formulation of time-fractional parabolic equations. Comput. Math. Appl. 75 (11) (2018)
Norbert Heuer, Michael Karkulik
Discontinuous Petrov-Galerkin boundary elements. Numerische Mathematik 135 (4) (2017)
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) (2017)
Thomas Führer, Norbert Heuer, Michael Karkulik
On the coupling of DPG and BEM. Math. Comput. 86 (307) (2017)
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) (2017)
Norbert Heuer, Michael Karkulik
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. 55 (3) (2017)
Norbert Heuer, Michael Karkulik
DPG method with optimal test functions for a transmission problem. Comput. Math. Appl. 70 (5) (2015)
Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Numerische Mathematik 130 (2) (2015)
Michael Karkulik, Jens Markus Melenk
Local high-order regularization and applications to hp-methods. Comput. Math. Appl. 70 (7) (2015)
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) (2014)
Norbert Heuer, Michael Karkulik, Francisco-Javier Sayas
Note on discontinuous trace approximation in the practical DPG method. Comput. Math. Appl. 68 (11) (2014)
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) (2013)
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) (2013)