Asymptotic expansion for the discretization error in linear elliptic boundary value problems on general regions

DOI10.1007/BF01214203zbMath0443.65073OpenAlexW2070008014MaRDI QIDQ1144367

Klaus Böhmer

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173060

zbMATH Keywords

convergenceasymptotic expansionelliptic boundary value problemsdiscretization errorgeneral regions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

A new approach to Richardson extrapolation in the finite element method for second order elliptic problems

Cites Work

• Discrete Newton methods and iterated defect corrections
• The defect correction principle and discretization methods
• On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
• Iterated deferred corrections for nonlinear operator equations
• Discrete approximations to elliptic differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• Highly Accurate Numerical Solution of Casilinear Elliptic Boundary-Value Problems in n Dimensions
• The Numerical Solution of Laplace's Equation
• Formulae for Numerical Differentiation
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