67 citations · 231 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems
Ruchi Guo, Tao Lin, Yanping Lin +1
This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations.…
Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis
Ruchi Guo
Immersed finite element (IFE) methods are a group of long-existing numerical methods for solving interface problems on unfitted meshes. A core argument of the methods is to avoid m…
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions
Slimane Adjerid, Ivo Babuska, Ruchi Guo +1
This article presents and analyzes a -degree immersed finite element (IFE) method for elliptic interface problems with nonhomogeneous jump conditions. In this method, jump…
Solving Three-Dimensional Interface Problems with Immersed Finite Elements: A-Priori Error Analysis
Ruchi Guo, Xu Zhang
In this paper, we develop and analyze a trilinear immersed finite element method for solving three-dimensional elliptic interface problems. The proposed method can be utilized on i…