Axioms of adaptivity C Carstensen, M Feischl, M Page, D Praetorius Computers & Mathematics with Applications 67 (6), 1195-1253, 2014 | 305 | 2014 |
Efficient implementation of adaptive P1-FEM in Matlab S Funken, D Praetorius, P Wissgott Computational Methods in Applied Mathematics 11 (4), 460-490, 2011 | 150 | 2011 |
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 | 121 | 2013 |
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 | 91 | 2014 |
Heat-assisted magnetic recording of bit-patterned media beyond 10 Tb/in2 C Vogler, C Abert, F Bruckner, D Suess, D Praetorius Applied Physics Letters 108 (10), 2016 | 88 | 2016 |
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 |
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 | 76 | 2016 |
Simple a posteriori error estimators for the h-version of the boundary element method S Ferraz-Leite, D Praetorius Computing 83 (4), 135-162, 2008 | 75 | 2008 |
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 |
Averaging techniques for the effective numerical solution of Symm's integral equation of the first kind C Carstensen, D Praetorius SIAM Journal on Scientific Computing 27 (4), 1226-1260, 2006 | 71 | 2006 |
A three-dimensional spin-diffusion model for micromagnetics C Abert, M Ruggeri, F Bruckner, C Vogler, G Hrkac, D Praetorius, D Suess Scientific reports 5 (1), 14855, 2015 | 66 | 2015 |
Estimator reduction and convergence of adaptive BEM M Aurada, S Ferraz-Leite, D Praetorius Applied Numerical Mathematics 62 (6), 787-801, 2012 | 65 | 2012 |
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 | 60 | 2013 |
Residual-based a posteriori error estimate for hypersingular equation on surfaces C Carstensen, M Maischak, D Praetorius, EP Stephan Numerische Mathematik 97, 397-425, 2004 | 60 | 2004 |
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems A Bespalov, A Haberl, D Praetorius Computer Methods in Applied Mechanics and Engineering 317, 318-340, 2017 | 59 | 2017 |
Energy norm based a posteriori error estimation for boundary element methods in two dimensions C Erath, S Ferraz-Leite, S Funken, D Praetorius Applied numerical mathematics 59 (11), 2713-2734, 2009 | 55 | 2009 |
A convergent implicit finite element discretization of the Maxwell–Landau–Lifshitz–Gilbert equation L Baňas, S Bartels, A Prohl SIAM journal on numerical analysis 46 (3), 1399-1422, 2008 | 54 | 2008 |
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 | 51 | 2015 |
Convergence of simple adaptive Galerkin schemes based on h − h/2 error estimators S Ferraz-Leite, C Ortner, D Praetorius Numerische Mathematik 116, 291-316, 2010 | 50 | 2010 |
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 | 49 | 2014 |