Ruchi Guo | DeepAI

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∙ 04/10/2023

Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity

It has been extensively studied in the literature that solving Maxwell e...

0 Chunyu Chen, et al. ∙

∙ 12/14/2022

On the maximum angle conditions for polyhedra with virtual element methods

Finite element methods are well-known to admit robust optimal convergenc...

0 Ruchi Guo, et al. ∙

∙ 09/29/2022

Transformer Meets Boundary Value Inverse Problems

A Transformer-based deep direct sampling method is proposed for solving ...

0 Ruchi Guo, et al. ∙

∙ 05/27/2022

A family of immersed finite element spaces and applications to three dimensional 𝐇(curl) interface problems

Maxwell interface problems are of great importance in many electromagnet...

0 Long Chen, et al. ∙

∙ 02/21/2022

Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions

Finite element methods for Maxwell's equations are highly sensitive to t...

0 Shuhao Cao, et al. ∙

∙ 08/02/2021

Immersed Virtual Element Methods for Elliptic Interface Problems

This article presents an immersed virtual element method for solving a c...

0 Shuhao Cao, et al. ∙

∙ 04/15/2021

Learn an index operator by CNN for solving diffusive optical tomography: a deep direct sampling method

In this work, we investigate the diffusive optical tomography (DOT) prob...

0 Jiahua Jiang, et al. ∙

∙ 03/08/2021

A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh

A virtual element method (VEM) with the first order optimal convergence ...

0 Shuhao Cao, et al. ∙

∙ 11/24/2020

Solving Two Dimensional H(curl)-elliptic Interface Systems with Optimal Convergence On Unfitted Meshes

In this article, we develop and analyze a finite element method with the...

0 Ruchi Guo, et al. ∙

∙ 09/17/2020

Construct Deep Neural Networks Based on Direct Sampling Methods for Solving Electrical Impedance Tomography

This work investigates the electrical impedance tomography (EIT) problem...

0 Ruchi Guo, et al. ∙

∙ 06/19/2020

Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems

This article presents an error analysis of the symmetric linear/bilinear...

0 Ruchi Guo, et al. ∙

∙ 04/30/2020

Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis

Immersed finite element (IFE) methods are a group of long-existing numer...

0 Ruchi Guo, et al. ∙

∙ 04/28/2020

An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions

This article presents and analyzes a p^th-degree immersed finite element...

0 Slimane Adjerid, et al. ∙

∙ 04/19/2020

Solving Three-Dimensional Interface Problems with Immersed Finite Elements: A-Priori Error Analysis

In this paper, we develop and analyze a trilinear immersed finite elemen...

0 Ruchi Guo, et al. ∙

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