Towards a IETI-DP solver on non-matching multi-patch domains
Towards a IETI-DP solver on non-matching multi-patch domains
复制标题
面向非匹配多面片域的 IETI-DP 求解器
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
L. Mitoseriu
中科院分区：
文献类型：
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作者：
L. Curecheriu;C. Ciomaga;L. Mitoseriu
最近，作者提出并分析了isogeometric撕裂和互连（IETI-DP）求解器的多块离散等几何分析。已被认为是一致的和不连续的Galerkin设置。在这两种情况下，我们都假设面片之间的界面由完整的边组成。在本文中，我们提出了一个概括，使我们能够放弃这一要求。这意味着面片可以在T形接头处相遇，这显著增加了几何模型的灵活性。我们使用基于顶点的原始自由度。对于T型接头，我们建议遵循“胖顶点”的想法。
Recently, the authors have proposed and analyzed isogeometric tearing and interconnecting (IETI-DP) solvers for multi-patch discretizations in Isogeometric Analysis. Conforming and discontinuous Galerkin settings have been considered. In both cases, we have assumed that the interfaces between the patches consist of whole edges. In this paper, we present a generalization that allows us to drop this requirement. This means that the patches can meet in T-junctions, which increases the flexibility of the geometric model significantly. We use vertex-based primal degrees of freedom. For the T-junctions, we propose to follow the idea of"fat vertices".