A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions.

DOI10.1016/S0377-0427(03)00491-6zbMath1038.65114OpenAlexW2088175558MaRDI QIDQ1426802

Stefan A. Sauter, Anton Smolianski, Sergey I. Repin

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00491-6

zbMATH Keywords

Poisson equationA posteriori error estimatorFinite element methodReliabilityEfficiencyNumerical examplesLocal error distributionMixed Dirichlet/Neumann boundary conditions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

A newa posteriori error estimate for convection-reaction-diffusion problems ⋮ Functional-type a posteriori error estimates for mixed finite element methods ⋮ Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. ⋮ Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems ⋮ Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems ⋮ Estimates of deviations from exact solutions for boundary-value problems with incompressibility condition ⋮ Equivalent operator preconditioning for elliptic problems ⋮ A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates ⋮ Global a posteriori error estimates for convection-reaction-diffusion problems ⋮ Guaranteed energy error bounds for the Poisson equation using a flux-free approach: Solving the local problems in subdomains

Cites Work

• A posteriori error estimation for nonlinear variational problems by duality theory
• A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions
• A posteriori error analysis for elliptic PDEs on domains with complicated structures
• A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow
• A posteriori error estimation for variational problems with uniformly convex functionals
• The generalized finite element method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions.