6 citations · 12 across the 7 of their papers we have counts for
9 papers · 1 filter
An Enriched Immersed Finite Element Method for 3D Interface Problems
Ruchi Guo, Xu Zhang
We introduce an enriched immersed finite element method for addressing interface problems characterized by general non-homogeneous jump conditions. Unlike many existing unfitted me…
Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity
Chunyu Chen, Ruchi Guo, Huayi Wei
It has been extensively studied in the literature that solving Maxwell equations is very sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking…
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…
Learn an index operator by CNN for solving diffusive optical tomography: a deep direct sampling method
Jiahua Jiang, Yi Li, Ruchi Guo
In this work, we investigate the diffusive optical tomography (DOT) problem in the case that limited boundary measurements are available. Motivated by the direct sampling method (D…
Solving Two Dimensional H(curl)-elliptic Interface Systems with Optimal Convergence On Unfitted Meshes
Ruchi Guo, Yanping Lin, Jun Zou
In this article, we develop and analyze a finite element method with the first family Nédélec elements of the lowest degree for solving a Maxwell interface problem modeled by a $\m…
Construct Deep Neural Networks Based on Direct Sampling Methods for Solving Electrical Impedance Tomography
Ruchi Guo, Jiahua Jiang
This work investigates the electrical impedance tomography (EIT) problem when only limited boundary measurements are available, which is known to be challenging due to the extreme…