An immersed weak Galerkin method for elliptic interface problems

[摘要] In this paper, we present an immersed weak Galerkin method for solving second-order elliptic interface problems. The proposed method does not require solution meshes to be aligned with the interface. Consequently, uniform Cartesian meshes can be used for nontrivial interfacial geometry. We show the existence and uniqueness of the numerical algorithm, and provide the error analysis in the energy norm. Numerical results are reported to demonstrate the performance of the method. (C) 2018 Elsevier B.V. All rights reserved.

[发布日期] 2019-12-15

[效力级别]  Proceedings Paper

[关键词] Immersed weak Galerkin;Interface problems;Cartesian mesh;Error estimate