A Finite Volume Element Method for a Nonlinear Parabolic Problem

DOI10.1007/978-1-4614-7172-1_7zbMath1280.65108OpenAlexW2187707214MaRDI QIDQ2847766

Victor Ginting, Panagiotis Chatzipantelidis

Publication date: 11 September 2013

Published in: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7172-1_7

zbMATH Keywords

error estimatesnumerical examplesbackward Euler methodfinite volume element methodnonlinear parabolic problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A symmetric mixed covolume method for the nonlinear parabolic problem ⋮ A posteriori error analysis of a quadratic finite volume method for nonlinear elliptic problems ⋮ A quadratic finite volume method for nonlinear elliptic problems ⋮ Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation ⋮ Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• A full discrete two-grid finite-volume method for a nonlinear parabolic problem
• Generalized Difference Methods for a Nonlinear Dirichlet Problem
• A finite volume element method for a non‐linear elliptic problem
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• Galerkin Finite Element Methods for Parabolic Problems

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