Convergence of finite element approximation to quasilinear initial boundary value problems

DOI10.1051/m2an/1978120302471zbMath0408.65067OpenAlexW2586194116MaRDI QIDQ4195886

Manfred Dobrowolski

Publication date: 1978

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193322

zbMATH Keywords

Finite Element MethodError EstimatesQuasilinear Partial Differential EquationsGalerkin ApproximationCongruence of Difference MethodsParabolic Initial Boundary Value Problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (3)

A mixed finite element method for solving the nonstationary Stokes equation ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Numerical analysis of quasilinear parabolic equations under low regularity assumptions

Cites Work

• Bounds for a class of linear functionals with applications to Hermite interpolation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• On Galerkin Methods in Semilinear Parabolic Problems
• Some asymptotic error estimates for finite element approximation of minimal surfaces
• Hydromagnetic Convective Instability in a Rotating Viscoelastic Layer Heated from Below
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
• Galerkin Methods for Parabolic Equations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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