Galerkin method for a nonstationary equation with a monotone operator

DOI10.1134/S0012266110070049zbMath1214.65025WikidataQ115252513 ScholiaQ115252513MaRDI QIDQ610378

P. V. Vinogradova

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceCauchy problemHilbert spaceerror estimationGalerkin approximationinitial-boundary problemparabolic equation of fourth orderquasilinear differential-operator equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical solutions to abstract evolution equations (65J08)

Related Items (2)

On an iteration method for a nonlinear differential-operator equation ⋮ Asymptotic Estimate of a Petrov - Galerkin Method for Nonlinear Operator-Differential Equation

Cites Work

• On the boundary value problem of the biharmonic operator on domains with angular corners
• Approximate Solutions of Operator Equations
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