An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations

DOI10.1016/j.aml.2007.11.009zbMath1177.35113OpenAlexW1988742298MaRDI QIDQ1003856

Linda El Alaoui

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.11.009

zbMATH Keywords

mixed methodsRichards' equationsa posteriori time and space error estimatorsnonconforming (Crouzeix-Raviart) finite elements

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

\(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations ⋮ Analysis of a finite volume element method for the Stokes problem ⋮ Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates ⋮ Simplified weak Galerkin and new finite difference schemes for the Stokes equation

Cites Work

• A finite volume method based on the Crouzeix-Raviart element for elliptic PDE's in two dimensions
• Error estimates for a time discretization method for the Richards' equation
• A priori error estimates for a mixed finite element discretization of the Richard's equation
• The finite volume method for Richards equation
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Finite volume box schemes on triangular meshes
• Finite Volume Box Schemes and Mixed Methods
• Some nonconforming mixed box schemes for elliptic problems
• Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation
• A posteriori analysis of the finite element discretization of some parabolic equations
• TIME AND SPACE ADAPTIVITY FOR THE SECOND-ORDER WAVE EQUATION
• Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media
• Residual and hierarchicalaposteriorierror estimates for nonconforming mixed finite element methods
• Unnamed Item

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