Convergence of adaptive boundary element methods
From MaRDI portal
Publication:2427795
DOI10.1216/JIE-2012-24-1-1zbMath1238.65124OpenAlexW2115309313MaRDI QIDQ2427795
Carsten Carstensen, Dirk Praetorius
Publication date: 18 April 2012
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1333560447
convergencenumerical examplesadaptive algorithmSymm's integral equationerror reductionadaptive mesh-refinementadaptive boundary element method
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (7)
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 ⋮ Adaptive boundary element methods with convergence rates ⋮ Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ Convergence of adaptive BEM for some mixed boundary value problem ⋮ Estimator reduction and convergence of adaptive BEM ⋮ A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling ⋮ A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra
Cites Work
- Unnamed Item
- Unnamed Item
- Computation of singular integral operators in wavelet coordinates
- Simple a posteriori error estimators for the \(h\)-version of the boundary element method
- Energy norm based a posteriori error estimation for boundary element methods in two dimensions
- Adaptive multilevel BEM for acoustic scattering
- Two-level methods for the single layer potential in \(\mathbb{R}^3\)
- A new a posteriori error estimator in adaptive direct boundary element methods: The Dirichlet problem
- Small data oscillation implies the saturation assumption
- Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary element methods. II: The three-dimensional case
- Adaptive wavelet methods. II: Beyond the elliptic case
- Adaptive finite element methods with convergence rates
- Residual-based a posteriori error estimate for hypersingular equation on surfaces
- Optimality of a standard adaptive finite element method
- Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D
- Adaptive methods for boundary integral equations: complexity and convergence estimates
- A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Adaptive Wavelet Schemes for Nonlinear Variational Problems
- Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case
- Data Oscillation and Convergence of Adaptive FEM
- Adaptive Boundary Element Methods Based on Computational Schemes for Sobolev Norms
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- A Posteriori Error Estimates for Boundary Element Methods
- Efficiency of a posteriori BEM–error estimates for first-kind integral equations on quasi–uniform meshes
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Adaptive Boundary Element Mevthods for Some First Kind Integral Equations
- Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions
- An adaptive boundary element method for the exterior Stokes problem in three dimensions
- Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind
- An a posteriori error estimate for a first-kind integral equation
- An Optimal Adaptive Finite Element Method
- Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind
- A posteriori error estimate and h-adaptive algorithm on surfaces from Symm's integral equation
- \(hp\)-adaptive two-level methods for boundary integral equations on curves
This page was built for publication: Convergence of adaptive boundary element methods
