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CAM seminar——Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions

2022-05-11 8:30-9:30 Zoom ID: 865 6578 3971 Password: 559754

Abstract:

Finite element methods for Maxwell's equations are highly sensitive to the conformity of approximation spaces, and non-conforming methods may cause loss of convergence. This fact leads to an essential obstacle for almost all the interface-unfitted mesh methods in the literature regarding the application to Maxwell interface problems. In this talk, we will present a novel immersed virtual element method for solving a 3D Maxwell interface problems. The motivation is to combine the conformity of virtual element spaces and robust approximation capabilities of immersed finite element spaces. The proposed method is able to achieve optimal convergence for a class of 3D Maxwell interface problem. To develop a systematic framework, a de Rham complex for interface problems will be established based on which the HX preconditioner can be adapted to develop a fast solver for the Maxwell interface problem. An efficient polyhedral mesh generator is also provided to generate a polyhedral mesh with an interface fitted boundary triangulation. 

This is a joint work with Shuhao Cao and Ruchi Guo.

 

Zoom ID: 865 6578 3971  

Password: 559754