A robust adaptive strategy for the nonlinear Poisson equation

DOI10.1007/BF02238484zbMath0846.65057MaRDI QIDQ1907036

Willy Dörfler

Publication date: 4 September 1996

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical resultsadaptive mesh refinementfinite elementa posteriori error estimatenonlinear Poisson equation

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• Unnamed Item
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• Monotone explicit iterations of the finite element approximations for the nonlinear boundary value problem
• Adaptive finite element methods for diffusion and convection problems
• A Posteriori Error Estimates Based on Hierarchical Bases
• Feedback Grid Generation via Monotone Discretization for Two-point Boundary-Value Problems
• Local mesh refinement in 2 and 3 dimensions
• Elliptic Partial Differential Equations of Second Order
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• Quasi-Random Methods for Estimating Integrals Using Relatively Small Samples