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 (Comput. Methods Appl. Math., 2013)

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. - Michael Feischl; Michael Karkulik; Jens Markus Melenk; Dirk Praetorius (SIAM J. Numer. Anal., 2013)

Note on discontinuous trace approximation in the practical DPG method. - Norbert Heuer; Michael Karkulik; Francisco-Javier Sayas (Comput. Math. Appl., 2014)

HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool. - Markus Aurada; Michael Ebner; Michael Feischl; Samuel Ferraz-Leite; Thomas Führer; Petra Goldenits; Michael Karkulik; Markus Mayr; Dirk Praetorius (Numer. Algorithms, 2014)

DPG method with optimal test functions for a transmission problem. - Norbert Heuer; Michael Karkulik (Comput. Math. Appl., 2015)

Local high-order regularization and applications to hp-methods. - Michael Karkulik; Jens Markus Melenk (Comput. Math. Appl., 2015)

Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. - Michael Feischl; Thomas Führer; Michael Karkulik; Dirk Praetorius (Numerische Mathematik, 2015)

DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation. - Vincent J. Ervin; Thomas Führer; Norbert Heuer; Michael Karkulik (J. Sci. Comput., 2017)

Local inverse estimates for non-local boundary integral operators. - Markus Aurada; Michael Feischl; Thomas Führer; Michael Karkulik; Jens Markus Melenk; Dirk Praetorius (Math. Comput., 2017)

On the coupling of DPG and BEM. - Thomas Führer; Norbert Heuer; Michael Karkulik (Math. Comput., 2017)

Discontinuous Petrov-Galerkin boundary elements. - Norbert Heuer; Michael Karkulik (Numerische Mathematik, 2017)

A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. - Norbert Heuer; Michael Karkulik (SIAM J. Numer. Anal., 2017)

Variational formulation of time-fractional parabolic equations. - Michael Karkulik (Comput. Math. Appl., 2018)

Combining the DPG Method with Finite Elements. - Thomas Führer; Norbert Heuer; Michael Karkulik; Rodolfo Rodríguez (Comput. Methods Appl. Math., 2018)

H-matrix approximability of inverses of discretizations of the fractional Laplacian. - Michael Karkulik; Jens Markus Melenk (Adv. Comput. Math., 2019)

A Finite Element Method for Elliptic Dirichlet Boundary Control Problems. - Michael Karkulik (Comput. Methods Appl. Math., 2020)

Space-time least-squares finite elements for parabolic equations. - Thomas Führer; Michael Karkulik (Comput. Math. Appl., 2021)

Analysis of Backward Euler Primal DPG Methods. - Thomas Führer; Norbert Heuer; Michael Karkulik (Comput. Methods Appl. Math., 2021)

Space-time finite element methods for parabolic distributed optimal control problems. - Thomas Führer; Michael Karkulik (CoRR, 2022)

Local Convergence of the FEM for the Integral Fractional Laplacian. - Markus Faustmann; Michael Karkulik; Jens Markus Melenk (SIAM J. Numer. Anal., 2022)

MINRES for Second-Order PDEs with Singular Data. - Thomas Führer; Norbert Heuer; Michael Karkulik (SIAM J. Numer. Anal., 2022)

On interpolation spaces of piecewise polynomials on mixed meshes. - Michael Karkulik; Jens Markus Melenk; Alexander Rieder (CoRR, 2023)

Well-posedness of first-order acoustic wave equations and space-time finite element approximation. - Thomas Führer; Roberto González; Michael Karkulik (CoRR, 2023)

Least-squares finite elements for distributed optimal control problems. - Thomas Führer; Michael Karkulik (Numerische Mathematik, 2023)

Space-time FEM-BEM couplings for parabolic transmission problems. - Thomas Führer; Gregor Gantner; Michael Karkulik (CoRR, 2024)

Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems. - Thomas Führer; Michael Karkulik (Comput. Methods Appl. Math., 2024)

A space-time finite element method for parabolic obstacle problems. - José Joaquín Carvajal; Davood Damircheli; Thomas Führer; Francisco Fuica; Michael Karkulik (CoRR, 2025)