A practical finite element approximation of a semi-definite Neumann problem on a curved domain

DOI10.1007/BF01399693zbMath0617.65110MaRDI QIDQ1822217

Charles M. Elliott, John W. Barrett

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/133183

zbMATH Keywords

finite elementcompatibility conditionGalerkin approximationoptimal rates of convergencesemi-definite Neumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

Analysis of the diffuse domain method for second order elliptic boundary value problems ⋮ Numerical methods and error analysis for the nonlinear Sivashinsky equation ⋮ Numerical integration over implicitly defined domains for higher order unfitted finite element methods ⋮ Preconditioned conjugate gradients for solving singular systems ⋮ A high order HDG method for curved-interface problems via approximations from straight triangulations ⋮ A second order splitting method for the Cahn-Hilliard equation ⋮ Error estimates for the numerical approximation of a quaslinear Neumann problem under minimal regularity of the data ⋮ Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known ⋮ Isogeometric analysis on V-reps: first results ⋮ Finite element approximation of some indefinite elliptic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite element methods for the Neumann problem
• The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements
• A Finite-element Method for Solving Elliptic Equations with Neumann Data on a Curved Boundary Using Unfitted Meshes
• Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations
• Numerical Solution of Discrete Poisson—Neumann Problems with Compatible or Incompatible Data, with Reference to Flow in a Circular Cavity
• Finite-Element Approximation of Elliptic Equations with a Neumann or Robin Condition on a Curved Boundary

This page was built for publication: A practical finite element approximation of a semi-definite Neumann problem on a curved domain