67 citations · 231 across the 19 of their papers we have counts for
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On the maximum angle conditions for polyhedra with virtual element methods
Ruchi Guo
Finite element methods are well-known to admit robust optimal convergence on simplicial meshes satisfying the maximum angle conditions. But how to generalize this condition to poly…
Transformer Meets Boundary Value Inverse Problems
Ruchi Guo, Shuhao Cao, Long Chen
A Transformer-based deep direct sampling method is proposed for electrical impedance tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A real-ti…
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…