Edit Profile (opens in new tab) Praetorius, Dirk Co-Author Distance Author ID: praetorius.dirk Published as: Praetorius, Dirk; Praetorius, D. External Links: MGP · ORCID Documents Indexed: 137 Publications since 2002, including 1 Book and 12 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 81 Co-Authors with 136 Joint Publications 1,799 Co-Co-Authors all top 5 Co-Authors 2 single-authored 29 Feischl, Michael 23 Führer, Thomas 19 Melenk, Jens Markus 18 Gantner, Gregor 18 Karkulik, Michael 16 Ruggeri, Michele 13 Aurada, Markus 12 Innerberger, Michael 11 Carstensen, Carsten 10 Haberl, Alexander 10 Page, Marcus 9 Erath, Christoph 8 Pfeiler, Carl-Martin 7 Bespalov, Alexei 7 Ferraz-Leite, Samuel 6 Becker, Roland 6 Brunner, Maximilian 6 Di Fratta, Giovanni 6 Schimanko, Stefan 6 Stiftner, Bernhard 6 Streitberger, Julian 5 Faustmann, Markus 5 Popović, Nikola 5 Stephan, Ernst Peter 4 Betcke, Timo 4 Funken, Stefan A. 4 Goldenits, Petra 4 Miraçi, Ani 3 Hrkac, Gino 3 Schlömerkemper, Anja 2 Amad, Alan A. S. 2 Baňas, Ľubomír 2 Bringmann, Philipp 2 Heid, Pascal 2 Koch, Othmar 2 Ledger, Paul David 2 Mauser, Norbert Julius 2 Mayr, Markus 2 Ortner, Christoph 2 Pavlicek, David 2 Repin, Sergeĭ Igorevich 2 Rocchi, Leonardo 2 Suess, Dieter 2 Weinmüller, Ewa B. 1 Abert, Claas 1 Auzinger, Winfried 1 Bruckner, F. 1 Buffa, Annalisa 1 Davoli, Elisa 1 Ebner, Michael 1 Exl, Lukas 1 Giannelli, Carlotta 1 Haberlik, Daniel 1 Helml, Valentin 1 Heuer, Norbert 1 Hochsteger, Matthias 1 Jüngel, Ansgar 1 Katzenbeisser, Stefan 1 Kemetmüller, J. 1 Kraus, Johannes K. 1 Kurz, Stefan 1 Le, Kim-Ngan 1 Maischak, Matthias 1 März, Roswitha 1 Mitscha-Eibl, Gregor 1 Of, Günther 1 Pauly, Dirk 1 Rieder, Alexander 1 Rochat, Jonathan 1 Sauter, Stefan 1 Schöberl, Joachim 1 Sebastian, Daniel 1 Segatti, Antonio 1 Slastikov, Valeriy V. 1 Überhuber, Christoph W. 1 van der Zee, Kristoffer George 1 Vazquez, Rafael 1 Vohralík, Martin 1 Wihler, Thomas Pascal 1 Wissgott, Philipp 1 Wohlmuth, Barbara I. all top 5 Serials 11 Numerische Mathematik 10 Computers & Mathematics with Applications 9 SIAM Journal on Numerical Analysis 9 Computational Methods in Applied Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 IMA Journal of Numerical Analysis 6 Mathematics of Computation 6 Applied Numerical Mathematics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applicable Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Scientific Computing 3 Engineering Analysis with Boundary Elements 2 Journal of Computational Physics 2 Calcolo 2 Computing 2 Journal of Computational and Applied Mathematics 2 Constructive Approximation 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Continuum Mechanics and Thermodynamics 2 ETNA. Electronic Transactions on Numerical Analysis 1 Computer Physics Communications 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Journal of Differential Equations 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computer Aided Geometric Design 1 Journal of Integral Equations and Applications 1 Applied Mathematical Modelling 1 Advances in Computational Mathematics 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 International Journal of Numerical Analysis and Modeling 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Fields 120 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 20 Optics, electromagnetic theory (78-XX) 12 Approximations and expansions (41-XX) 10 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 4 Computer science (68-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 1,423 times in 520 Documents Cited by ▼ Year ▼ Axioms of adaptivity. Zbl 1350.65119 Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D. 135 2014 Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197 Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp 60 2011 On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection. Zbl 1302.65267 Karkulik, Michael; Pavlicek, David; Praetorius, Dirk 53 2013 Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems. Zbl 1300.65086 Feischl, M.; Führer, T.; Praetorius, D. 45 2014 Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186 Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D. 37 2013 Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116 Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P. 31 2004 Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. Zbl 1312.74031 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk 30 2013 An abstract analysis of optimal goal-oriented adaptivity. Zbl 1382.65392 Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer G. 30 2016 Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Zbl 1285.65070 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 27 2013 Simple a posteriori error estimators for the \(h\)-version of the boundary element method. Zbl 1175.65126 Ferraz-Leite, S.; Praetorius, D. 25 2008 Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators. Zbl 1198.65213 Ferraz-Leite, S.; Ortner, C.; Praetorius, D. 25 2010 Averaging techniques for the effective numerical solution of Symm’s integral equation of the first kind. Zbl 1105.65124 Carstensen, Carsten; Praetorius, Dirk 24 2006 Adaptive IGAFEM with optimal convergence rates: hierarchical B-splines. Zbl 1376.41006 Gantner, Gregor; Haberlik, Daniel; Praetorius, Dirk 22 2017 Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems. Zbl 1439.65148 Bespalov, Alex; Haberl, Alexander; Praetorius, Dirk 22 2017 Energy norm based a posteriori error estimation for boundary element methods in two dimensions. Zbl 1177.65192 Erath, C.; Ferraz-Leite, S.; Funken, S.; Praetorius, D. 21 2009 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation. Zbl 1314.65161 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk 21 2014 Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations. Zbl 1425.65200 Feischl, Michael; Gantner, Gregor; Praetorius, Dirk 20 2015 Energy norm based error estimators for adaptive BEM for hypersingular integral equations. Zbl 1320.65184 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 20 2015 Estimator reduction and convergence of adaptive BEM. Zbl 1237.65131 Aurada, Markus; Ferraz-Leite, Samuel; Praetorius, Dirk 20 2012 Rate optimal adaptive FEM with inexact solver for nonlinear operators. Zbl 1477.65212 Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Stiftner, Bernhard 19 2018 Dörfler marking with minimal cardinality is a linear complexity problem. Zbl 1446.65190 Pfeiler, Carl-Martin; Praetorius, Dirk 19 2020 Local inverse estimates for non-local boundary integral operators. Zbl 1368.65242 Aurada, M.; Feischl, M.; Führer, T.; Karkulik, M.; Melenk, J. M.; Praetorius, D. 18 2017 Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Zbl 1362.65131 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk 18 2017 HILBERT – a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool. Zbl 1298.65183 Aurada, Markus; Ebner, Michael; Feischl, Michael; Ferraz-Leite, Samuel; Führer, Thomas; Goldenits, Petra; Karkulik, Michael; Mayr, Markus; Praetorius, Dirk 18 2014 \(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 17 2015 Adaptive 2D IGA boundary element methods. Zbl 1403.65267 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk 17 2016 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk 17 2015 Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator. Zbl 1361.82041 Abert, Claas; Hrkac, Gino; Page, Marcus; Praetorius, Dirk; Ruggeri, Michele; Suess, Dieter 17 2014 Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions. Zbl 1140.65089 Carstensen, Carsten; Praetorius, Dirk 17 2007 Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172 Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk 16 2015 Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D. Zbl 1278.65168 Erath, C.; Funken, S.; Goldenits, P.; Praetorius, D. 16 2013 Multiscale modeling in micromagnetics: existence of solutions and numerical integration. Zbl 1320.35336 Bruckner, F.; Suess, D.; Feischl, M.; Führer, T.; Goldenits, P.; Page, M.; Praetorius, D.; Ruggeri, M. 15 2014 Each \(H^{1/2}\)-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in \(\mathbb R^d\). Zbl 1275.65078 Aurada, M.; Feischl, M.; Kemetmüller, J.; Page, M.; Praetorius, D. 15 2013 Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. Zbl 1291.65341 Feischl, M.; Page, M.; Praetorius, D. 14 2014 Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models. Zbl 1137.35342 Praetorius, Dirk 14 2004 Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Zbl 1409.65075 Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 13 2018 Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems. Zbl 1276.65066 Aurada, Markus; Feischl, Michael; Praetorius, Dirk 13 2012 Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214 Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P. 13 2021 Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233 Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan 12 2019 Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. Zbl 1466.65127 Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 12 2020 A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. Zbl 1327.65233 Baňas, Lubomir; Page, Marcus; Praetorius, Dirk 11 2015 Convergence of adaptive stochastic Galerkin FEM. Zbl 1425.65146 Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele 11 2019 Averaging techniques for a posteriori error control in finite element and boundary element analysis. Zbl 1298.65161 Carstensen, Carsten; Praetorius, Dirk 11 2007 On a decoupled linear FEM integrator for eddy-current-LLG. Zbl 1316.65087 Le, Kim-Ngan; Page, Marcus; Praetorius, Dirk; Tran, Thanh 11 2015 Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators. Zbl 1443.65294 Erath, Christoph; Gantner, Gregor; Praetorius, Dirk 11 2020 Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. Zbl 1451.35205 Di Fratta, Giovanni; Innerberger, Michael; Praetorius, Dirk 11 2020 Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. Zbl 1327.65253 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 10 2016 Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Zbl 1415.78008 Hrkac, Gino; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Segatti, Antonio; Stiftner, Bernhard 10 2019 Numerical analysis for a macroscopic model in micromagnetics. Zbl 1088.78009 Carstensen, Carsten; Praetorius, Dirk 10 2005 Adaptive boundary element methods for optimal convergence of point errors. Zbl 1338.65259 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Führer, Thomas 10 2016 Adaptive vertex-centered finite volume methods with convergence rates. Zbl 1416.65410 Erath, Christoph; Praetorius, Dirk 9 2016 Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations. Zbl 1372.65317 Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. 9 2017 On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems. Zbl 1232.49034 Ortner, Christoph; Praetorius, Dirk 9 2011 Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. Zbl 1440.65184 Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele 9 2019 Existence of \(\mathcal{H}\)-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator. Zbl 1433.65324 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 9 2017 Rate optimality of adaptive finite element methods with respect to overall computational costs. Zbl 1468.65189 Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan 9 2021 A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction. Zbl 1334.78040 Baňas, Ľubomír; Page, Marcus; Praetorius, Dirk; Rochat, Jonathan 8 2014 Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor. Zbl 1303.65091 Feischl, Michael; Führer, Thomas; Mitscha-Eibl, Gregor; Praetorius, Dirk; Stephan, Ernst P. 8 2014 Applications of \(\mathcal H\)-matrix techniques in micromagnetics. Zbl 1070.78011 Popović, N.; Praetorius, D. 8 2005 Adaptive BEM with optimal convergence rates for the Helmholtz equation. Zbl 1440.65259 Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk 8 2019 Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 8 2021 Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement. Zbl 1280.65116 Karkulik, Michael; Of, Günther; Praetorius, Dirk 8 2013 Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134 Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa 8 2010 A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Zbl 1415.65247 Führer, Thomas; Praetorius, Dirk 7 2018 Convergence of adaptive boundary element methods. Zbl 1238.65124 Carstensen, Carsten; Praetorius, Dirk 7 2012 Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673 Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan 7 2020 Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Zbl 1468.65191 Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan; Vohralík, Martin 7 2021 Computational micromagnetics with Commics. Zbl 07678470 Pfeiler, Carl-Martin; Ruggeri, Michele; Stiftner, Bernhard; Exl, Lukas; Hochsteger, Matthias; Hrkac, Gino; Schöberl, Joachim; Mauser, Norbert J.; Praetorius, Dirk 7 2020 Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Zbl 1439.74410 Feischl, M.; Führer, T.; Karkulik, M.; Praetorius, D. 6 2015 Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements. Zbl 1365.65253 Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. 6 2017 ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve. Zbl 1287.65102 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 6 2014 Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263 Melenk, J. M.; Praetorius, D.; Wohlmuth, B. 6 2017 Effective simulation of a macroscopic model for stationary micromagnetics. Zbl 1063.78016 Carstensen, Carsten; Praetorius, Dirk 6 2005 Convergence of adaptive BEM for some mixed boundary value problem. Zbl 1242.65220 Aurada, M.; Ferraz-Leite, S.; Goldenits, P.; Karkulik, M.; Mayr, M.; Praetorius, D. 6 2012 A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling. Zbl 1245.65154 Aurada, M.; Feischl, M.; Karkulik, M.; Praetorius, Dirk 6 2012 Convergence of adaptive FEM for some elliptic obstacle problem. Zbl 1262.65156 Page, M.; Praetorius, D. 6 2013 A posteriori error estimate and adaptive mesh refinement for the cell-centered finite volume method for elliptic boundary value problems. Zbl 1188.65148 Erath, Christoph; Praetorius, Dirk 6 2009 Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005 Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele 6 2022 New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079 Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa 5 2005 Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290 Becker, Roland; Innerberger, Michael; Praetorius, Dirk 5 2021 Instance-optimal goal-oriented adaptivity. Zbl 1474.65440 Innerberger, Michael; Praetorius, Dirk 5 2021 Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Zbl 1441.65114 Führer, Thomas; Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan 5 2019 A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind. Zbl 1042.65084 Carstensen, Carsten; Praetorius, Dirk 5 2003 Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 1506.65209 Gantner, Gregor; Praetorius, Dirk 5 2020 A short note on plain convergence of adaptive least-squares finite element methods. Zbl 1451.65189 Führer, Thomas; Praetorius, Dirk 5 2020 Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data. Zbl 1310.65144 Feischl, Michael; Page, Marcus; Praetorius, Dirk 4 2014 Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. Zbl 1516.65125 Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele 4 2021 Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations. Zbl 1466.65167 Erath, Christoph; Praetorius, Dirk 4 2019 Optimal adaptivity for the SUPG finite element method. Zbl 1441.65101 Erath, Christoph; Praetorius, Dirk 4 2019 Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. Zbl 1443.65403 Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander 4 2015 Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Zbl 1490.65299 Gantner, Gregor; Praetorius, Dirk 4 2022 Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Zbl 1524.65754 Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk 4 2022 FEM-BEM coupling for the large-body limit in micromagnetics. Zbl 1310.78014 Aurada, M.; Melenk, J. M.; Praetorius, D. 3 2015 Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis. Zbl 1160.74355 Popović, Nikola; Praetorius, Dirk; Schlömerkemper, Anja 3 2007 Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. II: Numerical simulation. Zbl 1160.74356 Popović, Nikola; Praetorius, Dirk; Schlömerkemper, Anja 3 2007 Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. Zbl 1502.65188 Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele 3 2022 Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Zbl 1453.78012 Betcke, Timo; Haberl, Alexander; Praetorius, Dirk 3 2019 Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. Zbl 1453.82102 Kraus, Johannes; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 3 2019 Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Zbl 1263.78017 Ferraz-Leite, Samuel; Melenk, Jens Markus; Praetorius, Dirk 3 2012 MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Zbl 1511.65003 Innerberger, Michael; Praetorius, Dirk 3 2023 MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Zbl 1511.65003 Innerberger, Michael; Praetorius, Dirk 3 2023 Goal-oriented adaptive finite element methods with optimal computational complexity. Zbl 1510.65292 Becker, Roland; Gantner, Gregor; Innerberger, Michael; Praetorius, Dirk 1 2023 The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. Zbl 07697878 Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele 1 2023 Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090 Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk 1 2023 Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005 Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele 6 2022 Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Zbl 1490.65299 Gantner, Gregor; Praetorius, Dirk 4 2022 Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Zbl 1524.65754 Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk 4 2022 Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. Zbl 1502.65188 Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele 3 2022 Plain convergence of adaptive algorithms without exploiting reliability and efficiency. Zbl 1501.65117 Gantner, Gregor; Praetorius, Dirk 2 2022 Adaptive BEM for elliptic PDE systems. I: Abstract framework, for weakly-singular integral equations. Zbl 1490.65248 Gantner, Gregor; Praetorius, Dirk 2 2022 Benchmark computations for the polarization tensor characterization of small conducting objects. Zbl 1505.65301 Amad, A. A. S.; Ledger, P. D.; Betcke, T.; Praetorius, D. 1 2022 Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. Zbl 1502.65136 Mauser, Norbert J.; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele 1 2022 Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214 Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P. 13 2021 Rate optimality of adaptive finite element methods with respect to overall computational costs. Zbl 1468.65189 Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan 9 2021 Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 8 2021 Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Zbl 1468.65191 Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan; Vohralík, Martin 7 2021 Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290 Becker, Roland; Innerberger, Michael; Praetorius, Dirk 5 2021 Instance-optimal goal-oriented adaptivity. Zbl 1474.65440 Innerberger, Michael; Praetorius, Dirk 5 2021 Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. Zbl 1516.65125 Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele 4 2021 Functional a posteriori error estimates for boundary element methods. Zbl 1464.65234 Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel 2 2021 Dörfler marking with minimal cardinality is a linear complexity problem. Zbl 1446.65190 Pfeiler, Carl-Martin; Praetorius, Dirk 19 2020 Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. Zbl 1466.65127 Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 12 2020 Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators. Zbl 1443.65294 Erath, Christoph; Gantner, Gregor; Praetorius, Dirk 11 2020 Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. Zbl 1451.35205 Di Fratta, Giovanni; Innerberger, Michael; Praetorius, Dirk 11 2020 Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673 Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan 7 2020 Computational micromagnetics with Commics. Zbl 07678470 Pfeiler, Carl-Martin; Ruggeri, Michele; Stiftner, Bernhard; Exl, Lukas; Hochsteger, Matthias; Hrkac, Gino; Schöberl, Joachim; Mauser, Norbert J.; Praetorius, Dirk 7 2020 Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 1506.65209 Gantner, Gregor; Praetorius, Dirk 5 2020 A short note on plain convergence of adaptive least-squares finite element methods. Zbl 1451.65189 Führer, Thomas; Praetorius, Dirk 5 2020 The saturation assumption yields optimal convergence of two-level adaptive BEM. Zbl 1440.65263 Praetorius, Dirk; Ruggeri, Michele; Stephan, Ernst P. 2 2020 Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233 Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan 12 2019 Convergence of adaptive stochastic Galerkin FEM. Zbl 1425.65146 Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele 11 2019 Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Zbl 1415.78008 Hrkac, Gino; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Segatti, Antonio; Stiftner, Bernhard 10 2019 Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. Zbl 1440.65184 Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele 9 2019 Adaptive BEM with optimal convergence rates for the Helmholtz equation. Zbl 1440.65259 Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk 8 2019 Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Zbl 1441.65114 Führer, Thomas; Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan 5 2019 Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations. Zbl 1466.65167 Erath, Christoph; Praetorius, Dirk 4 2019 Optimal adaptivity for the SUPG finite element method. Zbl 1441.65101 Erath, Christoph; Praetorius, Dirk 4 2019 Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Zbl 1453.78012 Betcke, Timo; Haberl, Alexander; Praetorius, Dirk 3 2019 Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. Zbl 1453.82102 Kraus, Johannes; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 3 2019 Adaptive Uzawa algorithm for the Stokes equation. Zbl 1434.65248 Di Fratta, Giovanni; Führer, Thomas; Gantner, Gregor; Praetorius, Dirk 2 2019 Rate optimal adaptive FEM with inexact solver for nonlinear operators. Zbl 1477.65212 Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Stiftner, Bernhard 19 2018 Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Zbl 1409.65075 Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 13 2018 A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Zbl 1415.65247 Führer, Thomas; Praetorius, Dirk 7 2018 Adaptive IGAFEM with optimal convergence rates: hierarchical B-splines. Zbl 1376.41006 Gantner, Gregor; Haberlik, Daniel; Praetorius, Dirk 22 2017 Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems. Zbl 1439.65148 Bespalov, Alex; Haberl, Alexander; Praetorius, Dirk 22 2017 Local inverse estimates for non-local boundary integral operators. Zbl 1368.65242 Aurada, M.; Feischl, M.; Führer, T.; Karkulik, M.; Melenk, J. M.; Praetorius, D. 18 2017 Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Zbl 1362.65131 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk 18 2017 Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations. Zbl 1372.65317 Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. 9 2017 Existence of \(\mathcal{H}\)-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator. Zbl 1433.65324 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 9 2017 Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements. Zbl 1365.65253 Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. 6 2017 Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263 Melenk, J. M.; Praetorius, D.; Wohlmuth, B. 6 2017 Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM. Zbl 1372.65294 Erath, Christoph; Praetorius, Dirk 1 2017 An abstract analysis of optimal goal-oriented adaptivity. Zbl 1382.65392 Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer G. 30 2016 Adaptive 2D IGA boundary element methods. Zbl 1403.65267 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk 17 2016 Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. Zbl 1327.65253 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 10 2016 Adaptive boundary element methods for optimal convergence of point errors. Zbl 1338.65259 Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Führer, Thomas 10 2016 Adaptive vertex-centered finite volume methods with convergence rates. Zbl 1416.65410 Erath, Christoph; Praetorius, Dirk 9 2016 Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations. Zbl 1425.65200 Feischl, Michael; Gantner, Gregor; Praetorius, Dirk 20 2015 Energy norm based error estimators for adaptive BEM for hypersingular integral equations. Zbl 1320.65184 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 20 2015 \(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192 Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk 17 2015 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk 17 2015 Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172 Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk 16 2015 A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. Zbl 1327.65233 Baňas, Lubomir; Page, Marcus; Praetorius, Dirk 11 2015 On a decoupled linear FEM integrator for eddy-current-LLG. Zbl 1316.65087 Le, Kim-Ngan; Page, Marcus; Praetorius, Dirk; Tran, Thanh 11 2015 Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Zbl 1439.74410 Feischl, M.; Führer, T.; Karkulik, M.; Praetorius, D. 6 2015 Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. Zbl 1443.65403 Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander 4 2015 FEM-BEM coupling for the large-body limit in micromagnetics. Zbl 1310.78014 Aurada, M.; Melenk, J. M.; Praetorius, D. 3 2015 Erratum to: “On 2D newest vertex bisection: optimality of mesh-closure and \(H^1\)-stability of \(L_2\)-projection”. Zbl 1331.65167 Karkulik, Michael; Pavlicek, David; Praetorius, Dirk 1 2015 Axioms of adaptivity. Zbl 1350.65119 Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D. 135 2014 Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems. Zbl 1300.65086 Feischl, M.; Führer, T.; Praetorius, D. 45 2014 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation. Zbl 1314.65161 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk 21 2014 HILBERT – a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool. Zbl 1298.65183 Aurada, Markus; Ebner, Michael; Feischl, Michael; Ferraz-Leite, Samuel; Führer, Thomas; Goldenits, Petra; Karkulik, Michael; Mayr, Markus; Praetorius, Dirk 18 2014 Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator. Zbl 1361.82041 Abert, Claas; Hrkac, Gino; Page, Marcus; Praetorius, Dirk; Ruggeri, Michele; Suess, Dieter 17 2014 Multiscale modeling in micromagnetics: existence of solutions and numerical integration. Zbl 1320.35336 Bruckner, F.; Suess, D.; Feischl, M.; Führer, T.; Goldenits, P.; Page, M.; Praetorius, D.; Ruggeri, M. 15 2014 Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. Zbl 1291.65341 Feischl, M.; Page, M.; Praetorius, D. 14 2014 A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction. Zbl 1334.78040 Baňas, Ľubomír; Page, Marcus; Praetorius, Dirk; Rochat, Jonathan 8 2014 Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor. Zbl 1303.65091 Feischl, Michael; Führer, Thomas; Mitscha-Eibl, Gregor; Praetorius, Dirk; Stephan, Ernst P. 8 2014 ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve. Zbl 1287.65102 Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 6 2014 Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data. Zbl 1310.65144 Feischl, Michael; Page, Marcus; Praetorius, Dirk 4 2014 Mixed conforming elements for the large-body limit in micromagnetics. Zbl 1285.65076 Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk 2 2014 A new proof for existence of \(\mathcal H\)-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian. Zbl 1282.65153 Faustmann, Markus; Melenk, Jens M.; Praetorius, Dirk 2 2014 On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection. Zbl 1302.65267 Karkulik, Michael; Pavlicek, David; Praetorius, Dirk 53 2013 Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186 Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D. 37 2013 Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. Zbl 1312.74031 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk 30 2013 Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Zbl 1285.65070 Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk 27 2013 Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D. Zbl 1278.65168 Erath, C.; Funken, S.; Goldenits, P.; Praetorius, D. 16 2013 Each \(H^{1/2}\)-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in \(\mathbb R^d\). Zbl 1275.65078 Aurada, M.; Feischl, M.; Kemetmüller, J.; Page, M.; Praetorius, D. 15 2013 Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement. Zbl 1280.65116 Karkulik, Michael; Of, Günther; Praetorius, Dirk 8 2013 Convergence of adaptive FEM for some elliptic obstacle problem. Zbl 1262.65156 Page, M.; Praetorius, D. 6 2013 Estimator reduction and convergence of adaptive BEM. Zbl 1237.65131 Aurada, Markus; Ferraz-Leite, Samuel; Praetorius, Dirk 20 2012 Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems. Zbl 1276.65066 Aurada, Markus; Feischl, Michael; Praetorius, Dirk 13 2012 Convergence of adaptive boundary element methods. Zbl 1238.65124 Carstensen, Carsten; Praetorius, Dirk 7 2012 Convergence of adaptive BEM for some mixed boundary value problem. Zbl 1242.65220 Aurada, M.; Ferraz-Leite, S.; Goldenits, P.; Karkulik, M.; Mayr, M.; Praetorius, D. 6 2012 A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling. Zbl 1245.65154 Aurada, M.; Feischl, M.; Karkulik, M.; Praetorius, Dirk 6 2012 Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Zbl 1263.78017 Ferraz-Leite, Samuel; Melenk, Jens Markus; Praetorius, Dirk 3 2012 Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. Zbl 1247.78051 Carstensen, C.; Praetorius, D. 2 2012 Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197 Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp 60 2011 On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems. Zbl 1232.49034 Ortner, Christoph; Praetorius, Dirk 9 2011 Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators. Zbl 1198.65213 Ferraz-Leite, S.; Ortner, C.; Praetorius, D. 25 2010 Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134 Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa 8 2010 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 695 Authors 89 Praetorius, Dirk 31 Carstensen, Carsten 31 Melenk, Jens Markus 28 Feischl, Michael 25 Führer, Thomas 22 Karkulik, Michael 17 Gantner, Gregor 16 Ruggeri, Michele 14 Faustmann, Markus 13 Erath, Christoph 12 Nochetto, Ricardo Horacio 12 Stephan, Ernst Peter 11 Di Fratta, Giovanni 11 Heid, Pascal 10 Bespalov, Alexei 10 Heuer, Norbert 9 Aurada, Markus 9 Haberl, Alexander 9 Innerberger, Michael 8 Chen, Jingrun 7 Bertrand, Fleurianne 7 Ferraz-Leite, Samuel 7 Gimperlein, Heiko 7 Stevenson, Rob P. 6 Bringmann, Philipp 6 Funken, Stefan A. 6 Giannelli, Carlotta 6 Pfeiler, Carl-Martin 6 Rieder, Alexander 6 Schimanko, Stefan 6 Weinmüller, Ewa B. 6 Wihler, Thomas Pascal 6 Zhou, Yanhui 5 Becker, Roland 5 Boffi, Daniele 5 Borthagaray, Juan Pablo 5 Bracco, Cesare 5 Langer, Ulrich 5 Storn, Johannes 5 Vazquez, Rafael 5 Vohralík, Martin 4 Bordas, Stéphane Pierre Alain 4 Diening, Lars 4 Du, Rui 4 Gallistl, Dietmar 4 Gedicke, Joscha 4 Goldenits, Petra 4 Harbrecht, Helmut 4 Hu, Jun 4 Jerez-Hanckes, Carlos 4 Kurz, Stefan 4 Ma, Rui 4 Morgenstern, Philipp 4 Page, Marcus 4 Schlömerkemper, Anja 4 Schwab, Christoph 4 Silvester, David J. 4 Slastikov, Valeriy V. 4 Stiftner, Bernhard 4 Tran, Ngoc Tien 4 Verani, Marco 4 Wang, Cheng 4 Wick, Thomas 4 Wu, Jiming 4 Xu, Yifeng 3 Angleitner, Niklas 3 Atroshchenko, Elena 3 Auzinger, Winfried 3 Banz, Lothar 3 Bartels, Sören 3 Betcke, Timo 3 Börm, Steffen 3 Buffa, Annalisa 3 Canuto, Claudio 3 Chaumont-Frelet, Théophile 3 Chung, Tsz Shun Eric 3 Daniel, Patrik 3 Davoli, Elisa 3 Dölz, Jürgen 3 Ern, Alexandre 3 Exl, Lukas 3 Gaddam, Sharat 3 Gudi, Thirupathi 3 Guo, Liming 3 Hiptmair, Ralf 3 Hrkac, Gino 3 Jüngel, Ansgar 3 Kanduč, Tadej 3 Kapl, Mario 3 Koch, Othmar 3 Kreuzer, Christian 3 Leonel, Edson Denner 3 Li, Yuwen 3 März, Roswitha 3 Morin, Pedro 3 Natarajan, Sundararajan 3 Of, Günther 3 Ortner, Christoph 3 Özdemir, Ceyhun 3 Parvizi, Maryam ...and 595 more Authors all top 5 Cited in 99 Serials 58 Computers & Mathematics with Applications 40 Numerische Mathematik 38 Computer Methods in Applied Mechanics and Engineering 38 SIAM Journal on Numerical Analysis 35 Computational Methods in Applied Mathematics 21 Mathematics of Computation 18 Journal of Computational Physics 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Applied Numerical Mathematics 12 Journal of Scientific Computing 12 SIAM Journal on Scientific Computing 11 Journal of Computational and Applied Mathematics 10 Advances in Computational Mathematics 10 Engineering Analysis with Boundary Elements 9 Numerical Methods for Partial Differential Equations 8 M\(^3\)AS. 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