On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1 -Stability of L 2 -Projection M Karkulik, D Pavlicek, D Praetorius
Constructive Approximation 38, 213-234, 2013
116 2013 Quasi-optimal convergence rate for an adaptive boundary element method M Feischl, M Karkulik, JM Melenk, D Praetorius
SIAM Journal on Numerical Analysis 51 (2), 1327-1348, 2013
79 2013 Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity M Aurada, M Feischl, T Führer, M Karkulik, JM Melenk, D Praetorius
Computational Mechanics 51 (4), 399-419, 2013
73 2013 Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods M Aurada, M Feischl, T Führer, M Karkulik, D Praetorius
Computational Methods in Applied Mathematics 13 (3), 305-332, 2013
59 2013 Space–time least-squares finite elements for parabolic equations T Führer, M Karkulik
Computers & Mathematics with Applications 92, 27-36, 2021
51 2021 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation M Feischl, T Führer, M Karkulik, JM Melenk, D Praetorius
Calcolo 51, 531-562, 2014
45 * 2014 Adaptive boundary element methods: a posteriori error estimators, adaptivity, convergence, and implementation M Feischl, T Führer, N Heuer, M Karkulik, D Praetorius
Archives of Computational Methods in Engineering 22 (3), 309-389, 2015
43 2015 A robust DPG method for singularly perturbed reaction-diffusion problems N Heuer, M Karkulik
SIAM Journal on Numerical Analysis 55 (3), 1218-1242, 2017
42 2017 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation M Feischl, T Führer, M Karkulik, JM Melenk, D Praetorius
Calcolo 51, 531-562, 2014
42 2014 Energy norm based error estimators for adaptive BEM for hypersingular integral equations M Aurada, M Feischl, T Führer, M Karkulik, D Praetorius
Applied Numerical Mathematics 95, 15-35, 2015
41 2015 -matrix approximability of inverses of discretizations of the fractional LaplacianM Karkulik, JM Melenk
Advances in Computational Mathematics 45 (5), 2893-2919, 2019
35 2019 Local inverse estimates for non-local boundary integral operators M Aurada, M Feischl, T Führer, M Karkulik, J Melenk, D Praetorius
Mathematics of Computation 86 (308), 2651-2686, 2017
33 2017 HILBERT — a MATLAB implementation of adaptive 2D-BEM: H ILBERT I s a L ovely B oundary E lement R esearch T ool M Aurada, M Ebner, M Feischl, S Ferraz-Leite, T Führer, P Goldenits, ...
Numerical Algorithms 67, 1-32, 2014
28 2014 Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh‐refinement M Karkulik, G Of, D Praetorius
Numerical methods for partial differential equations 29 (6), 2081-2106, 2013
23 2013 Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM M Aurada, M Feischl, T Führer, M Karkulik, JM Melenk, D Praetorius
arXiv preprint arXiv:1211.4360, 2012
23 2012 Convergence of adaptive BEM for some mixed boundary value problem M Aurada, S Ferraz-Leite, P Goldenits, M Karkulik, M Mayr, D Praetorius
Applied Numerical Mathematics 62 (4), 226-245, 2012
22 2012 A posteriori error estimates for the Johnson–Nédélec FEM–BEM coupling M Aurada, M Feischl, M Karkulik, D Praetorius
Engineering analysis with boundary elements 36 (2), 255-266, 2012
18 2012 Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden M Karkulik
Technische Universität Wien, 2012
18 2012 Local high-order regularization and applications to hp-methods M Karkulik, JM Melenk
Computers & Mathematics with Applications 70 (7), 1606-1639, 2015
17 2015 Local convergence of the FEM for the integral fractional Laplacian M Faustmann, M Karkulik, JM Melenk
SIAM Journal on Numerical Analysis 60 (3), 1055-1082, 2022
16 2022