Error estimates of finite volume element method for the pollution in groundwater flow | Zendy

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Error estimates of finite volume element method for the pollution in groundwater flow

Author(s) -

Zhang Zhiyue

Publication year - 2009

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20340

Subject(s) - discretization , mathematics , finite volume method , piecewise , finite element method , groundwater flow , compressibility , flow (mathematics) , hydraulic conductivity , groundwater , mathematical analysis , geometry , aquifer , mechanics , geotechnical engineering , geology , soil science , thermodynamics , soil water , physics

In this article, we study the finite volume element methods for numerical solution of the pollution in groundwater flow in a two‐dimensional convex polygonal domain. These type flow are uniform transport in a fully saturated incompressible porous media, which may be anisotropic with respect to hydraulic conductivity, but features a direction independent of dispersivity. A fully finite volume scheme is analyzed in this article. The discretization is defined via a planar mesh consisting of piecewise triangles. Optimal order error estimates in H 1 and L 2 norms are obtained. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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