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Two-level preconditioning for $$h$$-version boundary element approximation of hypersingular operator with GenEO
Numerische Mathematik ( IF 2.1 ) Pub Date : 2020-09-24 , DOI: 10.1007/s00211-020-01149-5
Pierre Marchand , Xavier Claeys , Pierre Jolivet , Frédéric Nataf , Pierre-Henri Tournier

In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation (BIE), and we study a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space.

中文翻译:

使用 GenEO 对超奇异算子进行 $$h$$-version 边界元逼近的两级预处理

在目前的贡献中,我们考虑源自边界积分方程 (BIE) 的对称正定算子,并且我们研究了一个两级预处理器,其中使用重叠中的局部广义特征问题构建粗空间。我们将这个粗空间称为 GenEO 粗空间。
更新日期:2020-09-24
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