Analysis and application of finite volume element methods to a class of partial differential equations

DOI10.1016/j.jmaa.2009.04.052zbMath1182.65143OpenAlexW2013025467MaRDI QIDQ1029128

Huanrong Li

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.052

zbMATH Keywords

error estimateshyperbolic equationssuper-convergencefinite volume element methodsgeneralized Ritz-Volterra projection

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) Initial value problems for second-order hyperbolic equations (35L15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

• A mixed type boundary problem describing the propagation of disturbances in viscous media. I: Weak solutions for quasi-linear equations
• A general theory of heat conduction with finite wave speeds
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
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