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Author ID: praetorius.dirk Recent zbMATH articles by "Praetorius, Dirk"
Published as: Praetorius, Dirk; Praetorius, D.
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Citations contained in zbMATH Open

103 Publications have been cited 1,053 times in 381 Documents Cited by Year
Axioms of adaptivity. Zbl 1350.65119
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D.
99
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
43
2013
Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
39
2011
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.
37
2014
Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186
Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
36
2013
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116
Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P.
29
2004
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.
24
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
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
24
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
23
2013
An abstract analysis of optimal goal-oriented adaptivity. Zbl 1382.65392
Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer G.
22
2016
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.
20
2009
Estimator reduction and convergence of adaptive BEM. Zbl 1237.65131
Aurada, Markus; Ferraz-Leite, Samuel; Praetorius, Dirk
19
2012
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
18
2015
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
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 IGAFEM with optimal convergence rates: hierarchical B-splines. Zbl 1376.41006
Gantner, Gregor; Haberlik, Daniel; Praetorius, Dirk
16
2017
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
16
2015
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.
16
2017
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
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
15
2014
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Zbl 1362.65131
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk
15
2017
Adaptive 2D IGA boundary element methods. Zbl 1403.65267
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk
14
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
14
2015
Rate optimal adaptive FEM with inexact solver for nonlinear operators. Zbl 1477.65212
Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Stiftner, Bernhard
14
2018
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
13
2015
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.
13
2013
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. Zbl 1291.65341
Feischl, M.; Page, M.; Praetorius, D.
12
2014
Averaging techniques for a posteriori error control in finite element and boundary element analysis. Zbl 1298.65161
Carstensen, Carsten; Praetorius, Dirk
11
2007
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.
11
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
11
2014
\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
11
2015
Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models. Zbl 1137.35342
Praetorius, Dirk
11
2004
Numerical analysis for a macroscopic model in micromagnetics. Zbl 1088.78009
Carstensen, Carsten; Praetorius, Dirk
10
2005
Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233
Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan
10
2019
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems. Zbl 1276.65066
Aurada, Markus; Feischl, Michael; Praetorius, Dirk
10
2012
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems. Zbl 1439.65148
Bespalov, Alex; Haberl, Alexander; Praetorius, Dirk
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
8
2011
On a decoupled linear FEM integrator for eddy-current-LLG. Zbl 1316.65087
Le, Kim-Ngan; Page, Marcus; Praetorius, Dirk; Tran, Thanh
8
2015
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
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
Dörfler marking with minimal cardinality is a linear complexity problem. Zbl 1446.65190
Pfeiler, Carl-Martin; Praetorius, Dirk
8
2020
A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. Zbl 1327.65233
Baňas, Lubomir; Page, Marcus; Praetorius, Dirk
8
2015
Applications of \(\mathcal H\)-matrix techniques in micromagnetics. Zbl 1070.78011
Popović, N.; Praetorius, D.
7
2005
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
7
2014
Convergence of adaptive boundary element methods. Zbl 1238.65124
Carstensen, Carsten; Praetorius, Dirk
7
2012
Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134
Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa
7
2010
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
7
2016
Adaptive boundary element methods for optimal convergence of point errors. Zbl 1338.65259
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Führer, Thomas
7
2016
Adaptive vertex-centered finite volume methods with convergence rates. Zbl 1416.65410
Erath, Christoph; Praetorius, Dirk
7
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.
6
2017
Effective simulation of a macroscopic model for stationary micromagnetics. Zbl 1063.78016
Carstensen, Carsten; Praetorius, Dirk
6
2005
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 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
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
6
2017
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Zbl 1409.65075
Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard
6
2018
Convergence of adaptive stochastic Galerkin FEM. Zbl 1425.65146
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele
6
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
5
2019
New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079
Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa
5
2005
Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263
Melenk, J. M.; Praetorius, D.; Wohlmuth, B.
5
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.
5
2017
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
5
2019
Adaptive BEM with optimal convergence rates for the Helmholtz equation. Zbl 1440.65259
Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk
5
2019
Convergence of adaptive FEM for some elliptic obstacle problem. Zbl 1262.65156
Page, M.; Praetorius, D.
5
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
5
2009
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Zbl 1439.74410
Feischl, M.; Führer, T.; Karkulik, M.; Praetorius, D.
5
2015
A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Zbl 1415.65247
Führer, Thomas; Praetorius, Dirk
4
2018
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
4
2003
Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data. Zbl 1310.65144
Feischl, Michael; Page, Marcus; Praetorius, Dirk
4
2014
Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
4
2020
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Zbl 1441.65114
Führer, Thomas; Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
4
2019
Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators. Zbl 1443.65294
Erath, Christoph; Gantner, Gregor; Praetorius, Dirk
4
2020
A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling. Zbl 1245.65154
Aurada, M.; Feischl, M.; Karkulik, M.; Praetorius, Dirk
4
2012
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290
Becker, Roland; Innerberger, Michael; Praetorius, Dirk
4
2021
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
FEM-BEM coupling for the large-body limit in micromagnetics. Zbl 1310.78014
Aurada, M.; Melenk, J. M.; Praetorius, D.
3
2015
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 07242739
Gantner, Gregor; Praetorius, Dirk
3
2020
Optimal adaptivity for the SUPG finite element method. Zbl 1441.65101
Erath, Christoph; Praetorius, Dirk
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
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
3
2020
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214
Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P.
3
2021
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
Adaptive Uzawa algorithm for the Stokes equation. Zbl 1434.65248
Di Fratta, Giovanni; Führer, Thomas; Gantner, Gregor; Praetorius, Dirk
2
2019
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. Zbl 1451.35205
Di Fratta, Giovanni; Innerberger, Michael; Praetorius, Dirk
2
2020
A short note on plain convergence of adaptive least-squares finite element methods. Zbl 1451.65189
Führer, Thomas; Praetorius, Dirk
2
2020
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. Zbl 1247.78051
Carstensen, C.; Praetorius, D.
2
2012
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Zbl 1453.78012
Betcke, Timo; Haberl, Alexander; Praetorius, Dirk
2
2019
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
2
2021
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
2
2021
Instance-optimal goal-oriented adaptivity. Zbl 1474.65440
Innerberger, Michael; Praetorius, Dirk
2
2021
Remarks and examples concerning distance ellipsoids. Zbl 1017.46006
Praetorius, Dirk
1
2002
Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM. Zbl 1372.65294
Erath, Christoph; Praetorius, Dirk
1
2017
MATLAB 7. An introduction. (MATLAB 7. Eine Einführung.) Zbl 1058.68124
Überhuber, Christoph; Katzenbeisser, Stefan; Praetorius, Dirk
1
2004
Mixed conforming elements for the large-body limit in micromagnetics. Zbl 1285.65076
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk
1
2014
Magnetic force formulae for magnets at small distances. Zbl 1391.78003
Popović, Nikola; Praetorius, Dirk; Schlömerkemper, Anja
1
2005
The saturation assumption yields optimal convergence of two-level adaptive BEM. Zbl 1440.65263
Praetorius, Dirk; Ruggeri, Michele; Stephan, Ernst P.
1
2020
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
\(\mathcal H\)-matrix techniques for stray-field computations in computational micromagnetics. Zbl 1142.78311
Popović, Nikola; Praetorius, Dirk
1
2006
Adaptive BEM for elliptic PDE systems. I: abstract framework, for weakly-singular integral equations. Zbl 07518224
Gantner, Gregor; Praetorius, Dirk
1
2022
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290
Becker, Roland; Innerberger, Michael; Praetorius, Dirk
4
2021
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214
Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P.
3
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
2
2021
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
2
2021
Instance-optimal goal-oriented adaptivity. Zbl 1474.65440
Innerberger, Michael; Praetorius, Dirk
2
2021
Dörfler marking with minimal cardinality is a linear complexity problem. Zbl 1446.65190
Pfeiler, Carl-Martin; Praetorius, Dirk
8
2020
Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
4
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
4
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 07242739
Gantner, Gregor; Praetorius, Dirk
3
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
3
2020
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. Zbl 1451.35205
Di Fratta, Giovanni; Innerberger, Michael; Praetorius, Dirk
2
2020
A short note on plain convergence of adaptive least-squares finite element methods. Zbl 1451.65189
Führer, Thomas; Praetorius, Dirk
2
2020
The saturation assumption yields optimal convergence of two-level adaptive BEM. Zbl 1440.65263
Praetorius, Dirk; Ruggeri, Michele; Stephan, Ernst P.
1
2020
Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233
Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan
10
2019
Convergence of adaptive stochastic Galerkin FEM. Zbl 1425.65146
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele
6
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
5
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
5
2019
Adaptive BEM with optimal convergence rates for the Helmholtz equation. Zbl 1440.65259
Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk
5
2019
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Zbl 1441.65114
Führer, Thomas; Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
4
2019
Optimal adaptivity for the SUPG finite element method. Zbl 1441.65101
Erath, Christoph; Praetorius, Dirk
3
2019
Adaptive Uzawa algorithm for the Stokes equation. Zbl 1434.65248
Di Fratta, Giovanni; Führer, Thomas; Gantner, Gregor; Praetorius, Dirk
2
2019
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Zbl 1453.78012
Betcke, Timo; Haberl, Alexander; Praetorius, Dirk
2
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
1
2019
Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations. Zbl 1466.65167
Erath, Christoph; Praetorius, Dirk
1
2019
Rate optimal adaptive FEM with inexact solver for nonlinear operators. Zbl 1477.65212
Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Stiftner, Bernhard
14
2018
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Zbl 1409.65075
Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard
6
2018
A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Zbl 1415.65247
Führer, Thomas; Praetorius, Dirk
4
2018
Adaptive IGAFEM with optimal convergence rates: hierarchical B-splines. Zbl 1376.41006
Gantner, Gregor; Haberlik, Daniel; Praetorius, Dirk
16
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.
16
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
15
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
9
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.
6
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
6
2017
Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263
Melenk, J. M.; Praetorius, D.; Wohlmuth, B.
5
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.
5
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.
22
2016
Adaptive 2D IGA boundary element methods. Zbl 1403.65267
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk
14
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
7
2016
Adaptive boundary element methods for optimal convergence of point errors. Zbl 1338.65259
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Führer, Thomas
7
2016
Adaptive vertex-centered finite volume methods with convergence rates. Zbl 1416.65410
Erath, Christoph; Praetorius, Dirk
7
2016
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
18
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
16
2015
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
14
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
13
2015
\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192
Faustmann, Markus; Melenk, Jens Markus; 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
8
2015
A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. Zbl 1327.65233
Baňas, Lubomir; Page, Marcus; Praetorius, Dirk
8
2015
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Zbl 1439.74410
Feischl, M.; Führer, T.; Karkulik, M.; Praetorius, D.
5
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.
99
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.
37
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
17
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
15
2014
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. Zbl 1291.65341
Feischl, M.; Page, M.; Praetorius, D.
12
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.
11
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
11
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
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
7
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
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
Mixed conforming elements for the large-body limit in micromagnetics. Zbl 1285.65076
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk
1
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
43
2013
Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186
Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
36
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
24
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
23
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.
13
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.
5
2013
Estimator reduction and convergence of adaptive BEM. Zbl 1237.65131
Aurada, Markus; Ferraz-Leite, Samuel; Praetorius, Dirk
19
2012
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems. Zbl 1276.65066
Aurada, Markus; Feischl, Michael; Praetorius, Dirk
10
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
4
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
39
2011
On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems. Zbl 1232.49034
Ortner, Christoph; Praetorius, Dirk
8
2011
Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators. Zbl 1198.65213
Ferraz-Leite, S.; Ortner, C.; Praetorius, D.
24
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
7
2010
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.
20
2009
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
5
2009
Simple a posteriori error estimators for the \(h\)-version of the boundary element method. Zbl 1175.65126
Ferraz-Leite, S.; Praetorius, D.
25
2008
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
Averaging techniques for a posteriori error control in finite element and boundary element analysis. Zbl 1298.65161
Carstensen, Carsten; Praetorius, Dirk
11
2007
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
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
\(\mathcal H\)-matrix techniques for stray-field computations in computational micromagnetics. Zbl 1142.78311
Popović, Nikola; Praetorius, Dirk
1
2006
Numerical analysis for a macroscopic model in micromagnetics. Zbl 1088.78009
Carstensen, Carsten; Praetorius, Dirk
10
2005
Applications of \(\mathcal H\)-matrix techniques in micromagnetics. Zbl 1070.78011
Popović, N.; Praetorius, D.
7
2005
Effective simulation of a macroscopic model for stationary micromagnetics. Zbl 1063.78016
Carstensen, Carsten; Praetorius, Dirk
6
2005
New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079
Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa
5
2005
Magnetic force formulae for magnets at small distances. Zbl 1391.78003
Popović, Nikola; Praetorius, Dirk; Schlömerkemper, Anja
1
2005
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116
Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P.
29
2004
Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models. Zbl 1137.35342
Praetorius, Dirk
11
2004
...and 3 more Documents
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Cited by 521 Authors

75 Praetorius, Dirk
26 Carstensen, Carsten
26 Feischl, Michael
24 Führer, Thomas
24 Melenk, Jens Markus
21 Karkulik, Michael
14 Gantner, Gregor
13 Erath, Christoph
10 Heuer, Norbert
10 Ruggeri, Michele
9 Aurada, Markus
9 Haberl, Alexander
9 Stephan, Ernst Peter
8 Faustmann, Markus
8 Nochetto, Ricardo Horacio
7 Bespalov, Alexei
7 Ferraz-Leite, Samuel
6 Di Fratta, Giovanni
6 Funken, Stefan A.
6 Heid, Pascal
6 Weinmüller, Ewa B.
5 Gimperlein, Heiko
5 Rieder, Alexander
5 Stevenson, Rob P.
5 Wihler, Thomas Pascal
4 Bertrand, Fleurianne
4 Boffi, Daniele
4 Bracco, Cesare
4 Bringmann, Philipp
4 Chen, Jingrun
4 Gallistl, Dietmar
4 Gedicke, Joscha
4 Giannelli, Carlotta
4 Goldenits, Petra
4 Harbrecht, Helmut
4 Innerberger, Michael
4 Jerez-Hanckes, Carlos
4 Langer, Ulrich
4 Ma, Rui
4 Page, Marcus
4 Schimanko, Stefan
4 Schlömerkemper, Anja
4 Vazquez, Rafael
4 Vohralík, Martin
4 Wick, Thomas
4 Xu, Yifeng
3 Atroshchenko, Elena
3 Auzinger, Winfried
3 Banz, Lothar
3 Buffa, Annalisa
3 Chung, Tsz Shun Eric
3 Dölz, Jürgen
3 Ern, Alexandre
3 Gaddam, Sharat
3 Gudi, Thirupathi
3 Koch, Othmar
3 Kreuzer, Christian
3 Kurz, Stefan
3 Li, Yuwen
3 März, Roswitha
3 Morgenstern, Philipp
3 Natarajan, Sundararajan
3 Of, Günther
3 Pfeiler, Carl-Martin
3 Pollock, Sara
3 Popović, Nikola
3 Repin, Sergeĭ Igorevich
3 Sayas, Francisco-Javier
3 Schmidt, Anja
3 Schorr, Robert
3 Stiftner, Bernhard
3 Verani, Marco
3 Xie, Changjian
2 Bagherzadeh, Amir Saboor
2 Bakry, Marc
2 Banjai, Lehel
2 Bebendorf, Mario
2 Becker, Roland
2 Betcke, Timo
2 Bonito, Andrea
2 Bordas, Stéphane Pierre Alain
2 Borthagaray, Juan Pablo
2 Canuto, Claudio
2 Chaillat, Stéphanie
2 Chambolle, Antonin
2 Daniel, Patrik
2 Davoli, Elisa
2 Diening, Lars
2 Endtmayer, Bernhard
2 Fu, Zhixing
2 Gantumur, Tsogtgerel
2 Gaspoz, Fernando D.
2 Gatica, Gabriel N.
2 Guo, Liming
2 Hellwig, Friederike
2 Hiptmair, Ralf
2 Hrkac, Gino
2 Hu, Guanghui
2 Jüngel, Ansgar
2 Kim, Eugenia
...and 421 more Authors
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Cited in 79 Serials

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29 SIAM Journal on Numerical Analysis
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