DOI10.1137/120897225zbMath1300.65086arXiv1210.8369OpenAlexW2089768471MaRDI QIDQ5495201
Dirk Praetorius, Thomas Führer, Michael Feischl
Publication date: 31 July 2014
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.8369
Convergence and quasi-optimality of an adaptive finite element method for semilinear elliptic problems on L2 errors,
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs,
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation,
Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations,
A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics,
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems,
Convergence rates of adaptive methods, Besov spaces, and multilevel approximation,
Inf-sup stability implies quasi-orthogonality,
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems,
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs,
Adaptive multigrid method for quantum eigenvalue problems,
Goal-oriented adaptive finite element methods with optimal computational complexity,
Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: Without Harmonic Forms,
Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines,
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors,
Adaptive IGAFEM with optimal convergence rates: T-splines,
Dörfler marking with minimal cardinality is a linear complexity problem,
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors,
Adaptive BEM with inexact PCG solver yields almost optimal computational costs,
On the threshold condition for Dörfler marking,
Adaptive BEM with optimal convergence rates for the Helmholtz equation,
Optimal adaptivity for the SUPG finite element method,
Instance-optimal goal-oriented adaptivity,
Quasi-optimal adaptive hybridized mixed finite element methods for linear elasticity,
A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems,
Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators,
Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes,
Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates,
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation,
Adaptive finite element method for nonmonotone quasi-linear elliptic problems,
Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems,
A posteriori error estimators for hierarchical B-spline discretizations,
Quasi-best approximation in optimization with PDE constraints,
An Abstract Analysis of Optimal Goal-Oriented Adaptivity,
Recurrent neural networks as optimal mesh refinement strategies,
Optimal convergence rates for goal-oriented FEM with quadratic goal functional,
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods,
Quasi-optimality of an Adaptive Finite Element Method for Cathodic Protection,
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems,
Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem,
Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus,
Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates,
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian,
Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems,
Rate optimality of adaptive finite element methods with respect to overall computational costs