# An Immersed Weak Galerkin Method for Elliptic Interface Problems on Polygonal Meshes

@article{Park2022AnIW, title={An Immersed Weak Galerkin Method for Elliptic Interface Problems on Polygonal Meshes}, author={Hyeokjoo Park and Do Young Kwak}, journal={ArXiv}, year={2022}, volume={abs/2208.07542} }

. In this paper we present an immersed weak Galerkin method for solving second-order elliptic interface problems on polygonal meshes, where the meshes do not need to be aligned with the interface. The discrete space consists of constants on each edge and broken linear polynomials satisfying the interface conditions in each element. For triangular meshes, such broken linear plynomials coincide with the basis functions in immersed ﬁnite element methods [26]. We establish some approximation…

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