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Finite Element Methods on Locally Anisotropic Hybrid Meshes:Applications to Interface Problems
报告人:王华副教授,湘潭大学 时间:2024年1月8日15:00 字号:

报告地点:行健楼学术活动室526

邀请人:陈金如教授

摘要:A novel mesh generation algorithm is introduced for addressing 2D and 3D interface problems. The grid is constructed from an underlying quasi-uniform unfitted mesh, incorporating anisotropic triangles and quadrilateral elements in 2D, and anisotropic tetrahedral, pyramidal, and prism elements in 3D. Various types of low-order finite elements are presented, including H^1-conforming, H^1-nonconforming, and H(div)-conforming elements. We rigorously establish the optimal approximation capabilities of these anisotropic elements. Numerical experiments are conducted to validate the theoretical results.

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