Search Results - "Praetorius, Dirk"

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs.

Authors: Brunner, Maximilian Praetorius, Dirk Streitberger, Julian

Source: Numerische Mathematik. Apr2025, Vol. 157 Issue 2, p409-445. 37p.

Goal-Oriented Adaptivity for Multilevel Stochastic Galerkin FEM with Nonlinear Goal Functionals.

Authors: Bespalov, Alex Praetorius, Dirk Ruggeri, Michele

Source: SIAM Journal on Scientific Computing. 2026, Vol. 48 Issue 1, pA392-A417. 26p.

Subjects: Finite element method, Elliptic differential equations, Nonlinear functional analysis, Numerical calculations, Numerical analysis, Numerical solutions to partial differential equations, Error analysis in mathematics

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2).

Authors: Feischl, Michael Praetorius, Dirk Ruggeri, Michele

Source: Computational Methods in Applied Mathematics. Jul2024, Vol. 24 Issue 3, p529-532. 4p.

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1).

Authors: Feischl, Michael Praetorius, Dirk Ruggeri, Michele

Source: Computational Methods in Applied Mathematics. Apr2024, Vol. 24 Issue 2, p279-282. 4p.

On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems.

Authors: Ortner, Christoph Praetorius, Dirk

Source: SIAM Journal on Numerical Analysis; 2011, Vol. 49 Issue 2, p346-367, 22p

A posteriori error estimate and adaptive mesh refinement for the cell-centered finite volume method for elliptic boundary value problems.

Authors: Erath, Christoph Praetorius, Dirk

Source: SIAM Journal on Numerical Analysis; 2009, Vol. 47 Issue 1, p109-135, 27p

Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions.

Authors: Carstensen, Carsten Praetorius, Dirk

Source: SIAM Journal on Scientific Computing; March/May 2007, Vol. 29 Issue 2, p782-810, 29p

Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind.

Authors: Carstensen, Carsten Praetorius, Dirk

Source: SIAM Journal on Scientific Computing; 2006, Vol. 27 Issue 4, p1226-1260, 35p

A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind.

Authors: Carstensen, Carsten Praetorius, Dirk

Source: SIAM Journal on Scientific Computing; 2003, Vol. 25 Issue 1, p259-283, 25p

Mathematical Foundations of Adaptive Isogeometric Analysis.

Authors: Buffa, Annalisa Gantner, Gregor Giannelli, Carlotta et al.

Source: Archives of Computational Methods in Engineering; Nov2022, Vol. 29 Issue 7, p4479-4555, 77p

Stable Implementation of Adaptive IGABEM in 2D in MATLAB.

Authors: Gantner, Gregor Praetorius, Dirk Schimanko, Stefan

Source: Computational Methods in Applied Mathematics. Jul2022, Vol. 22 Issue 3, p563-590. 28p.

Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM.

Authors: Bespalov, Alex Praetorius, Dirk Ruggeri, Michele

Source: IMA Journal of Numerical Analysis. Jul2022, Vol. 42 Issue 3, p2190-2213. 24p.

Plain convergence of adaptive algorithms without exploiting reliability and efficiency.

Authors: Gantner, Gregor Praetorius, Dirk

Source: IMA Journal of Numerical Analysis. Apr2022, Vol. 42 Issue 2, p1434-1453. 20p.

On full linear convergence and optimal complexity of adaptive FEM with inexact solver.

Authors: Bringmann, Philipp Feischl, Michael Miraçi, Ani et al.

Source: Computers & Mathematics with Applications; Feb2025, Vol. 180, p102-129, 28p

Reliable Methods of Mathematical Modeling.

Authors: Praetorius, Dirk Repin, Sergey Sauter, Stefan A.

Source: Computational Methods in Applied Mathematics. Apr2021, Vol. 21 Issue 2, p263-266. 4p.

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods.

Authors: Heid, Pascal Praetorius, Dirk Wihler, Thomas P.

Source: Computational Methods in Applied Mathematics. Apr2021, Vol. 21 Issue 2, p407-422. 16p.

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver.

Authors: Haberl, Alexander Praetorius, Dirk Schimanko, Stefan et al.

Source: Numerische Mathematik. Mar2021, Vol. 147 Issue 3, p679-725. 47p.

Instance-Optimal Goal-Oriented Adaptivity.

Authors: Innerberger, Michael Praetorius, Dirk

Source: Computational Methods in Applied Mathematics. Jan2021, Vol. 21 Issue 1, p109-126. 18p.

Adaptive isogeometric boundary element methods with local smoothness control.

Authors: Gantner, Gregor Praetorius, Dirk Schimanko, Stefan

Source: Mathematical Models & Methods in Applied Sciences. Feb2020, Vol. 30 Issue 2, p261-307. 47p.

Corrigendum to: Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs.

Authors: Brunner, Maximilian Innerberger, Michael Miraçi, Ani et al.

Source: IMA Journal of Numerical Analysis; May2024, Vol. 44 Issue 3, p1903-1909, 7p