21 citations · 86 across the 15 of their papers we have counts for
15 papers
Efficient and Parallel Solution of High-order Continuous Time Galerkin for Dissipative and Wave Propagation Problems
Zhiming Chen, Yong Liu
We propose efficient and parallel algorithms for the implementation of the high-order continuous time Galerkin method for dissipative and wave propagation problems. By using Legend…
A high order unfitted finite element method for time-Harmonic Maxwell interface problems
Zhiming Chen, Ke Li, Maohui Lyu +1
We propose a high order unfitted finite element method for solving timeharmonic Maxwell interface problems. The unfitted finite element method is based on a mixed formulation in th…
An Arbitrarily High Order Unfitted Finite Element Method for Elliptic Interface Problems with Automatic Mesh Generation
Zhiming Chen, Yong Liu
We consider the reliable implementation of high-order unfitted finite element methods on Cartesian meshes with hanging nodes for elliptic interface problems. We construct a reliabl…
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…
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…
An adaptive high-order unfitted finite element method for elliptic interface problems
Zhiming Chen, Ke Li, Xueshuang Xiang
We design an adaptive unfitted finite element method on the Cartesian mesh with hanging nodes. We derive an hp-reliable and efficient residual type a posteriori error estimate on K…