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math.NA2021
A high order explicit time finite element method for the acoustic wave equation with discontinuous coefficients
Zhiming Chen, Yong Liu, Xueshuang Xiang
In this paper, we propose a novel high order unfitted finite element method on Cartesian meshes for solving the acoustic wave equation with discontinuous coefficients having comple…
math.NA2021★ 1 cited
Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems
Zhiming Chen, Wenlong Zhang, Jun Zou
In this work, we investigate the regularized solutions and their finite element solutions to the inverse source problems governed by partial differential equations, and establish t…