Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type

DOI10.21136/am.1996.134338zbMath0870.65096OpenAlexW89135387MaRDI QIDQ1363459

Michal Křížek, Pekka Neittaanmäki, Liping Liu

Publication date: 7 August 1997

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32962

zbMATH Keywords

rate of convergencefinite elementsnonlinear boundary value problemanisotropic heat conduction

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Thermodynamics in solid mechanics (74A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations ⋮ A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem ⋮ A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type ⋮ Error estimates for the numerical approximation of a quaslinear Neumann problem under minimal regularity of the data ⋮ A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems ⋮ Finite element approximation of a nonlinear heat conduction problem in anisotropic media ⋮ Generalized \(G\)-convergence for quasilinear elliptic differential operators ⋮ Quadratic Finite Volume Method for a Nonlinear Elliptic Problem ⋮ Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data ⋮ Adaptive finite element method for nonmonotone quasi-linear elliptic problems ⋮ A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems ⋮ Numerical analysis of quasilinear parabolic equations under low regularity assumptions

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