Error estimates for the finite element solution of elliptic problems with nonlinear newton boundary conditions

DOI10.1080/01630569908816927zbMath0947.65116OpenAlexW2002482484MaRDI QIDQ4943325

Miloslav Feistauer, Veronika Sobotíková, Karel Najzar

Publication date: 11 May 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816927

zbMATH Keywords

error estimatesfinite elementelliptic equationuniform monotonicitynonlinear Newton boundary condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition ⋮ Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder ⋮ Error estimates and adaptive finite element methods ⋮ On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains. ⋮ An Error Estimate for the Finite Element Solution of an Elliptic Problem with a Nonlinear Newton Boundary Condition in Nonpolygonal Domains ⋮ On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition. ⋮ Numerical solution of problems with non-linear boundary conditions

Cites Work

• Unnamed Item
• The finite element method for nonlinear elliptic equations with discontinuous coefficients
• Finite element solution of nonlinear elliptic problems
• Finite element error estimates for nonlinear elliptic equations of monotone type
• Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions
• Finite element approximation of a problem with a nonlinear Newton boundary condition
• Boundary element methods for potential problems with nonlinear boundary conditions
• A Pseudospectral Three-Dimensional Boundary Integral Method Applied to a Nonlinear Model Problem from Finite Elasticity
• Nonlinear boundary integral equations for harmonic problems

This page was built for publication: Error estimates for the finite element solution of elliptic problems with nonlinear newton boundary conditions