56 citations · 368 across the 53 of their papers we have counts for
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Complexes from Complexes: Finite Element Complexes in Three Dimensions
Long Chen, Xuehai Huang
In the field of solving partial differential equations (PDEs), Hilbert complexes have become highly significant. Recent advances focus on creating new complexes using the Bernstein…
Transformed Primal-Dual Methods For Nonlinear Saddle Point Systems
Long Chen, Jingrong Wei
A transformed primal-dual (TPD) flow is developed for a class of nonlinear smooth saddle point system. The flow for the dual variable contains a Schur complement which is strongly…
Finite Element de Rham and Stokes Complexes in Three Dimensions
Long Chen, Xuehai Huang
Finite element de Rham complexes and finite element Stokes complexes with various smoothness in three dimensions are systematically constructed. First smooth scalar finite elements…
Finite Element Complexes in Two Dimensions
Long Chen, Xuehai Huang
In this study, two-dimensional finite element complexes with various levels of smoothness, including the de Rham complex, the curldiv complex, the elasticity complex, and the divdi…
A family of immersed finite element spaces and applications to three dimensional interface problems
Long Chen, Ruchi Guo, Jun Zou
Maxwell interface problems are of great importance in many electromagnetic applications. Unfitted mesh methods are especially attractive in 3D computation as they can circumvent ge…
Immersed Virtual Element Methods for Electromagnetic Interface Problems in Three Dimensions
Shuhao Cao, Long Chen, Ruchi Guo
Finite element methods for electromagnetic problems modeled by Maxwell-type equations are highly sensitive to the conformity of approximation spaces, and non-conforming methods may…