Discontinuous Galerkin finite volume element methods for second‐order linear elliptic problems

Discontinuous Galerkin finite volume element methods for second‐order linear elliptic problems
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DOI：
10.1002/num.20405
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发表时间：
2009-11
期刊：
Numerical Methods for Partial Differential Equations
影响因子：
3.9
通讯作者：
Sarvesh Kumar;N. Nataraj;A. K. Pani
Sarvesh Kumar;N. Nataraj;A. K. Pani
中科院分区：
数学3区
文献类型：
--
作者：
Sarvesh Kumar;N. Nataraj;A. K. Pani

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本文讨论了逼近一类二阶线性椭圆型问题解的单参数非连续Galerkin有限体积元方法。给出了L2和H1 -破碎范数的最优误差估计。数值结果证实了理论的收敛顺序。©2009 Wiley期刊公司数值方法偏微分方程，2009
In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in L2 and broken H1‐ norms are derived. Numerical results confirm the theoretical order of convergences. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009