Axioms of adaptivity C Carstensen, M Feischl, M Page, D Praetorius Computers & Mathematics with Applications 67 (6), 1195-1253, 2014 | 316 | 2014 |
Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems M Feischl, T Führer, D Praetorius SIAM Journal on Numerical Analysis 52 (2), 601-625, 2014 | 92 | 2014 |
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 | 80 | 2013 |
An abstract analysis of optimal goal-oriented adaptivity M Feischl, D Praetorius, KG Van der Zee SIAM Journal on Numerical Analysis 54 (3), 1423-1448, 2016 | 77 | 2016 |
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 | 75 | 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 | 61 | 2013 |
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 | 55 | 2015 |
Multiscale modeling in micromagnetics: Existence of solutions and numerical integration F Bruckner, D Suess, M Feischl, T Führer, P Goldenits, M Page, ... Mathematical Models and Methods in Applied Sciences 24 (13), 2627-2662, 2014 | 50 | 2014 |
Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations M Feischl, G Gantner, D Praetorius Computer Methods in Applied Mechanics and Engineering 290, 362-386, 2015 | 49 | 2015 |
3D FEM–BEM-coupling method to solve magnetostatic Maxwell equations F Bruckner, C Vogler, M Feischl, D Praetorius, B Bergmair, T Huber, ... Journal of magnetism and magnetic materials 324 (10), 1862-1866, 2012 | 48 | 2012 |
Each H1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd M Aurada, M Feischl, J Kemetmüller, M Page, D Praetorius ESAIM: Mathematical Modelling and Numerical Analysis 47 (4), 1207-1235, 2013 | 46 | 2013 |
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 | 43 | 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 | 42 | 2015 |
Recurrent neural networks as optimal mesh refinement strategies J Bohn, M Feischl Computers & Mathematics with Applications 97, 61-76, 2021 | 41 | 2021 |
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation G Akrivis, M Feischl, B Kovács, C Lubich Mathematics of Computation 90 (329), 995-1038, 2021 | 39 | 2021 |
Fast random field generation with H-matrices M Feischl, FY Kuo, IH Sloan Numerische Mathematik 140, 639-676, 2018 | 39 | 2018 |
Adaptive 2D IGA boundary element methods M Feischl, G Gantner, A Haberl, D Praetorius Engineering Analysis with Boundary Elements 62, 141-153, 2016 | 38 | 2016 |
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 | 35 | 2017 |
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations M Feischl, G Gantner, A Haberl, D Praetorius Numerische Mathematik 136, 147-182, 2017 | 34 | 2017 |
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data M Feischl, M Page, D Praetorius Journal of computational and applied mathematics 255, 481-501, 2014 | 31 | 2014 |