论文标题

多尺度有限元方法的非侵入性实施:一个说明性示例

Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example

论文作者

Biezemans, Rutger A., Bris, Claude Le, Legoll, Frederic, Lozinski, Alexei

论文摘要

多尺度有限元方法(MSFEM)是用于多尺度问题的有限元类型方法。他们首先计算局部,振荡,问题依赖性基础函数,这些函数产生特定的离散空间,然后在该空间上执行问题的盖尔金近似。我们在这里调查如何以非侵入性的方式实施这些方法,以促进它们在工业法规或非学术环境中的传播。

Multiscale Finite Element Methods (MsFEM) are finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions which generate a specific discretization space, and next perform a Galerkin approximation of the problem on that space. We investigate here how these approaches can be implemented in a non-intrusive way, in order to facilitate their dissemination within industrial codes or non academic environments.

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