Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form

DOI10.1007/BF01403853zbMath0341.65067MaRDI QIDQ1231766

Owe Axelsson

Publication date: 1977

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132471

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems ⋮ Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form ⋮ Some computational aspects in the numerical solution of parabolic equations ⋮ Error estimates over infinite intervals of some discretizations of evolution equations ⋮ B-convergence of the implicit midpoint rule and the trapezoidal rule

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-order methods for parabolic problems
• Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form
• New error bounds for the penalty method and extrapolation
• Finite Element Methods for Parabolic Equations
• A Galerkin Method for a Nonlinear Dirichlet Problem
• The Effect of Interpolating the Coefficients in Nonlinear Parabolic Galerkin Procedures
• A Generalized Ritz-Least-Squares Method for Dirichlet Problems

This page was built for publication: Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form