Finite element variational crimes in parabolic-elliptic problems. I: Nonlinear schemes

DOI10.1007/BF01390058zbMath0673.65071OpenAlexW149398465MaRDI QIDQ1120972

Alexander Ženíšek

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/133359

zbMATH Keywords

convergenceinitial-boundary value problemunconditional stabilityfinite difference in timefinite element in spaceideal finite elementnonlinear second order two-dimensional parabolic-ellipticnonlinear second order two-dimensional parabolic-elliptic initial-boundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (5)

Finite element solution of a hyperbolic-parabolic problem ⋮ Extensions from the Sobolev spaces \(H^1\) satisfying prescribed Dirichlet boundary conditions. ⋮ The finite element method for nonlinear elliptic equations with discontinuous coefficients ⋮ Finite element approximation of a nonlinear heat conduction problem in anisotropic media ⋮ Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element solution of nonlinear elliptic problems
• A Linear Scheme for the Numerical Solution of Nonlinear Quasistationary Magnetic Fields
• Numerical solution of nonlinear quasi-stationary magnetic fields
• Approximations of parabolic variational inequalities
• How to avoid the use of Green's theorem in the Ciarlet-Raviart theory of variational crimes
• Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems
• Finite element solution of quasistationary nonlinear magnetic field
• Curved Elements in the Finite Element Method. I

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