Dirk Praetorius

From MaRDI portal
Person:251426

Available identifiers

zbMath Open praetorius.dirkWikidataQ57052482 ScholiaQ57052482MaRDI QIDQ251426

List of research outcomes

PublicationDate of PublicationType
hp-Robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs2024-04-15Paper
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs2023-12-01Paper
Plain convergence of goal-oriented adaptive FEM2023-09-21Paper
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs2023-09-18Paper
The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics2023-06-19Paper
Computational micromagnetics with Commics2023-04-25Paper
MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs2023-04-21Paper
Goal-oriented adaptive finite element methods with optimal computational complexity2023-01-18Paper
Benchmark computations for the polarization tensor characterization of small conducting objects2022-12-21Paper
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs2022-12-01Paper
Spin-diffusion model for micromagnetics in the limit of long times2022-11-28Paper
Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals2022-08-19Paper
Stable implementation of adaptive IGABEM in 2D in MATLAB2022-08-03Paper
Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM2022-07-26Paper
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics2022-07-15Paper
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems2022-07-08Paper
Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations2022-06-23Paper
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs2022-06-23Paper
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction2022-06-20Paper
Plain convergence of adaptive algorithms without exploiting reliability and efficiency2022-05-10Paper
Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations2022-05-05Paper
MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs2022-03-03Paper
Goal-oriented adaptive finite element method for semilinear elliptic PDEs2021-12-13Paper
Optimal convergence rates for goal-oriented FEM with quadratic goal functional2021-11-26Paper
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods2021-11-26Paper
Instance-optimal goal-oriented adaptivity2021-11-16Paper
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems2021-11-05Paper
Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method2021-10-26Paper
Rate optimality of adaptive finite element methods with respect to overall computational costs2021-07-07Paper
Mathematical foundations of adaptive isogeometric analysis2021-07-05Paper
Benchmark computations for the polarization tensor of small conducting objects2021-06-29Paper
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian2021-06-07Paper
Functional a posteriori error estimates for boundary element methods2021-04-28Paper
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver2021-04-15Paper
Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation2021-03-31Paper
Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations2021-03-16Paper
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra2021-01-27Paper
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics2021-01-27Paper
A short note on plain convergence of adaptive least-squares finite element methods2020-11-07Paper
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics2020-11-04Paper
Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes2020-10-11Paper
Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators2020-10-07Paper
Adaptive IGAFEM with optimal convergence rates: T-splines2020-09-01Paper
Dörfler marking with minimal cardinality is a linear complexity problem2020-08-27Paper
Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM2020-06-03Paper
Adaptive isogeometric boundary element methods with local smoothness control2020-05-27Paper
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods2020-04-17Paper
Optimal adaptivity for the SUPG finite element method2020-04-16Paper
Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs2020-04-09Paper
Adaptive BEM with optimal convergence rates for the Helmholtz equation2020-04-09Paper
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems2020-04-06Paper
The saturation assumption yields optimal convergence of two-level adaptive BEM2020-02-24Paper
Adaptive Uzawa algorithm for the Stokes equation2020-02-14Paper
Convergence of Adaptive Stochastic Galerkin FEM2019-10-11Paper
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics2019-06-28Paper
A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems2019-06-27Paper
Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations2019-03-27Paper
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics2019-03-25Paper
Adaptive BEM with inexact PCG solver yields almost optimal computational costs2019-03-18Paper
Computational micromagnetics with Commics2018-12-14Paper
Rate optimal adaptive FEM with inexact solver for nonlinear operators2018-11-23Paper
Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator2018-09-26Paper
Adaptive 2D IGA boundary element methods2018-08-09Paper
Magnetic Force Formulae for Magnets at Small Distances2018-07-26Paper
Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines2017-11-28Paper
https://portal.mardi4nfdi.de/entity/Q45934142017-11-22Paper
Céa-Type Quasi-Optimality and Convergence Rates for (Adaptive) Vertex-Centered FVM2017-09-06Paper
Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations2017-07-25Paper
Local inverse estimates for non-local boundary integral operators2017-07-03Paper
Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements2017-06-28Paper
Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator2017-05-22Paper
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations2017-05-12Paper
Simultaneous quasi‐optimal convergence rates in FEM‐BEM coupling2017-02-03Paper
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation2016-10-28Paper
Axioms of adaptivity2016-09-27Paper
Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates2016-07-21Paper
An Abstract Analysis of Optimal Goal-Oriented Adaptivity2016-05-20Paper
Adaptive boundary element methods for optimal convergence of point errors2016-03-02Paper
\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices2015-12-30Paper
Erratum to: ``On 2D newest vertex bisection: optimality of mesh-closure and \(H^1\)-stability of \(L_2\)-projection2015-12-16Paper
A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations2015-12-15Paper
Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator2015-11-02Paper
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems2015-10-30Paper
Energy norm based error estimators for adaptive BEM for hypersingular integral equations2015-06-22Paper
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation2015-04-24Paper
Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data2015-04-23Paper
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation2015-03-23Paper
FEM-BEM coupling for the large-body limit in micromagnetics2015-02-11Paper
Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor2014-12-18Paper
Multiscale modeling in micromagnetics: Existence of solutions and numerical integration2014-11-18Paper
A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction2014-11-18Paper
Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis2014-11-06Paper
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 \(\underline {\text T}\)ool2014-09-19Paper
Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems2014-07-31Paper
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data2014-07-23Paper
ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve2014-05-26Paper
Efficient implementation of adaptive P1-FEM in Matlab2014-03-31Paper
Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods2014-03-17Paper
A New Proof for Existence of H-Matrix Approximants to the Inverse of FEM Matrices: The Dirichlet Problem for the Laplacian2014-01-31Paper
MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS2014-01-24Paper
Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement2013-11-26Paper
On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection2013-11-11Paper
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity2013-08-26Paper
EachH1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd2013-08-14Paper
Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D2013-07-24Paper
Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method2013-07-18Paper
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems2013-07-10Paper
L2-orthogonal projections onto finite elements on locally refined meshes are H1-stable2013-07-03Paper
Convergence of adaptive FEM for some elliptic obstacle problem2013-04-22Paper
Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM2012-11-19Paper
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics2012-09-19Paper
A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling2012-08-24Paper
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy2012-07-13Paper
Estimator reduction and convergence of adaptive BEM2012-05-11Paper
Convergence of adaptive BEM for some mixed boundary value problem2012-05-04Paper
Convergence of adaptive boundary element methods2012-04-18Paper
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems2011-09-14Paper
Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators2010-09-10Paper
Collocation methods for index 1 DAEs with a singularity of the first kind2010-08-30Paper
A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems2010-03-24Paper
Energy norm based a posteriori error estimation for boundary element methods in two dimensions2009-09-28Paper
Simple a posteriori error estimators for the \(h\)-version of the boundary element method2009-09-09Paper
Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis2009-05-20Paper
Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. II: Numerical simulation2009-05-20Paper
On stabilized models in micromagnetics2009-05-08Paper
Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions2008-04-03Paper
Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models2007-05-14Paper
Large-Scale Scientific Computing2006-11-21Paper
Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind2006-05-30Paper
New a posteriori error estimates for singular boundary value problems2005-12-02Paper
Numerical Analysis for a Macroscopic Model in Micromagnetics2005-10-28Paper
Applications of \(\mathcal H\)-matrix techniques in micromagnetics2005-06-22Paper
Effective simulation of a macroscopic model for stationary micromagnetics2005-05-12Paper
https://portal.mardi4nfdi.de/entity/Q31554872005-01-17Paper
Residual-based a posteriori error estimate for hypersingular equation on surfaces2004-12-13Paper
A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind2004-01-20Paper
Remarks and examples concerning distance ellipsoids2002-08-27Paper

Research outcomes over time


Doctoral students

No records found.


Known relations from the MaRDI Knowledge Graph

PropertyValue
MaRDI profile typeMaRDI person profile
instance ofhuman


This page was built for person: Dirk Praetorius