Part II. Discontinuous Galerkin method applied to a single phase flow in porous media

被引：0

作者：

Béatrice Riviè;re

Mary F. Wheeler

Krzysztof Banaś

机构：

[1] The University of Texas,The Center for Subsurface Modeling, Texas Institute for Computational and Applied Mathematics

[2] Cracow University of Technology,Section of Applied Mathematics

来源：

Computational Geosciences | 2000年 / 4卷

关键词：

discontinuous approximations; discontinuous coefficients; porous media; single phase flow;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Discontinuous Galerkin numerical simulations of single phase flow problem are described in this paper. The simulations show the advantages of using discontinuous approximation spaces. hp convergence results are obtained for smooth solutions. Unstructured meshes and unsmooth solutions are also considered.

引用

页码：337 / 349

页数：12

共 8 条

[1]

Kaasschieter E.F.(1998)Mixed finite elements for accurate particle tracking in saturated groundwater flow Adv. in Water Resources 18 227-294

[2]

Oden J.T.(1998)A discontinous hp finite element method for diffusion problems J. Comput. Phys. 146 491-519

[3]

Babuska I.(1999)Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I Comput. Geosci. 3 337-360

[4]

Baumann C.E.(1978)An elliptic collocation-finite element method with interior penalties SIAM J. Numer. Anal. 15 152-161

[5]

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