67 citations · 231 across the 19 of their papers we have counts for
20 papers
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…
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…
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions
Shuhao Cao, Long Chen, Ruchi Guo +1
This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh m…
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…
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh
Shuhao Cao, Long Chen, Ruchi Guo
A virtual element method (VEM) with the first order optimal convergence order is developed for solving two-dimensional Maxwell interface problems on a special class of polygonal me…
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…
A Trilinear Immersed Finite Element Method for Solving Elliptic Interface Problems
Ruchi Guo, Tao Lin
This article presents an immersed finite element (IFE) method for solving the typical three-dimensional second order elliptic interface problem with an interface-independent Cartes…
A Fixed Mesh Method With Immersed Finite Elements for Solving Interface Inverse Problems
Ruchi Guo, Tao Lin, Yanping Lin
We present a new fixed mesh algorithm for solving a class of interface inverse problems for the typical elliptic interface problems. These interface inverse problems are formulated…
Approximation Capabilities of Immersed Finite Element Spaces for Elasticity Interface Problems
Ruchi Guo, Tao Lin, Yanping Lin
We construct and analyze a group of immersed finite element (IFE) spaces formed by linear, bilinear and rotated Q1 polynomials for solving planar elasticity equation involving inte…
Nonconforming Immersed Finite Element Spaces For Elliptic Interface Problems
Ruchi Guo, Tao Lin, Xu Zhang
In this paper, we use a unified framework introduced in [3] to study two classes of nonconforming immersed finite element (IFE) spaces with integral value degrees of freedom. The s…
A Group of Immersed Finite Element Spaces For Elliptic Interface Problems
Ruchi Guo, Tao Lin
We present a unified framework for developing and analysing immersed finite element (IFE) spaces for solving typical elliptic interface problems with interface independent meshes.…