Algebraic multilevel iteration method for lowest order Raviart–Thomas space and applications
Algebraic multilevel iteration method for lowest order Raviart–Thomas space and applications
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DOI：
10.1002/nme.3103
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发表时间：
2011-06
影响因子：
2.9
通讯作者：
J. Kraus;S. Tomar
中科院分区：
文献类型：
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作者：
J. Kraus;S. Tomar
本文提出了一种最优阶代数多层迭代法，用于求解一类在H（div）空间中具有弱形式的边值问题的有限元离散所产生的线性代数方程组。该算法是针对使用最低阶Raviart-Thomas空间获得的离散问题开发的。理论分析和支持的数值例子。此外，作为一个特殊的应用，该算法用于解决离散最小化问题，该问题出现在椭圆问题的间断Galerkin近似的泛函型后验误差估计中。版权所有© 2011约翰威利父子有限公司.
An optimal order algebraic multilevel iterative method for solving system of linear algebraic equations arising from the finite element discretization of certain boundary value problems, that have their weak formulation in the space H(div), is presented. The algorithm is developed for the discrete problem obtained by using the lowest‐order Raviart–Thomas space. The method is theoretically analyzed and supporting numerical examples are presented. Furthermore, as a particular application, the algorithm is used for the solution of the discrete minimization problem which arises in the functional‐type a posteriori error estimates for the discontinuous Galerkin approximation of elliptic problems. Copyright © 2011 John Wiley & Sons, Ltd.