Residual-based a posteriori error estimate for hypersingular equation on surfaces
From MaRDI portal
Publication:1889952
DOI10.1007/s00211-003-0506-5zbMath1063.65116OpenAlexW1974033468MaRDI QIDQ1889952
Carsten Carstensen, Dirk Praetorius, Matthias Maischak, Ernst Peter Stephan
Publication date: 13 December 2004
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-003-0506-5
algorithmsnumerical exampleshypersingular integral equationNeumann problemGalerkin approximationGalerkin boundary element methodupper error bound
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items
An adaptive boundary element method for the transmission problem with hyperbolic metamaterials, On the numerical solution of Plateau's problem, Adaptive boundary element methods with convergence rates, Axioms of adaptivity, Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation, Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation, A posteriori error estimation for the Laplace-Beltrami equation on spheres with spherical splines, A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics, Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal-dual gap estimators, Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators, Convergence of adaptive boundary element methods, Adaptive isogeometric boundary element methods with local smoothness control, A posteriori error estimates for hypersingular integral equation on spheres with spherical splines, A residual a posteriori error estimate for the time-domain boundary element method, \textit{hp} non-conforming \textit{a priori} error analysis of an interior penalty discontinuous Galerkin BEM for the Helmholtz equation, ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve, Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations, Adaptive BEM with inexact PCG solver yields almost optimal computational costs, Adaptive BEM with optimal convergence rates for the Helmholtz equation, Space-time adaptive finite elements for nonlocal parabolic variational inequalities, Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations, A posteriori error analysis for a boundary element method with nonconforming domain decomposition, Local high-order regularization and applications to \(hp\)-methods, Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators, The saturation assumption yields optimal convergence of two-level adaptive BEM, A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra, Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D, Adaptive Crouzeix–Raviart boundary element method, Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement, Local inverse estimates for non-local boundary integral operators
Uses Software