Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable

DOI10.1007/BF02576636zbMath0435.65094OpenAlexW2027281795WikidataQ59039433 ScholiaQ59039433MaRDI QIDQ1140421

Jim jun. Douglas, Douglas N. Arnold

Publication date: 1979

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576636

zbMATH Keywords

quasilinear parabolic equationsuperconvergenceasymptotic expansion of the Galerkin solution

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• On the comparison principle for quasilinear divergence structure equations
• Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
• $L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations