\(L^{2}\) error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions

DOI10.1016/j.amc.2012.01.004zbMath1248.65099OpenAlexW2083717855MaRDI QIDQ434691

Min Yang

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.004

zbMATH Keywords

convergencenumerical example\(L^{2}\) error estimationBarlow pointspseudo-parabolicquadratic finite volume element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

Construction and analysis of the quadratic finite volume methods on tetrahedral meshes ⋮ A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes ⋮ Three dimensional high order finite volume element schemes for elliptic equations ⋮ A high order finite volume method for one dimensional nonlocal reactive flows of parabolic type ⋮ Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes

Cites Work

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• Biquadratic finite volume element methods based on optimal stress points for parabolic problems
• Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations
• Superconvergent biquadratic finite volume element method for two-dimensional Poisson's equations
• Theory of fluid flows through natural rocks
• The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
• Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions
• A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
• A quadratic finite volume element method for parabolic problems on quadrilateral meshes
• Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
• Fourier Spectral Methods for Pseudoparabolic Equations
• Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
• Optimal stress locations in finite element models
• Lp error estimates and superconvergence for covolume or finite volume element methods
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems

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