有限元外微积分中的扩展伽辽金分析

Math. Comput. Model. Pub Date : 2021-01-24 DOI:10.1090/mcom/3707

Q. Hong, Yuwen Li, Jinchao Xu

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引用次数: 10

摘要

对于有限元外微积分中的Hodge-Laplace方程，我们在扩展Galerkin框架中引入了几类不连续Galerkin方法。对于可收缩域，该框架利用了7个域，并提供了关于所有离散化和惩罚参数的统一的影响分析。结果表明，所提出的方法可以杂交为简化的双场公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Extended Galerkin analysis in finite element exterior calculus

For the Hodge–Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.

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来源期刊

Math. Comput. Model.

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