Nonconforming immersed finite element spaces for elliptic interface problems. - Ruchi Guo; Tao Lin 003; Xu Zhang 003 (Comput. Math. Appl., 2018)

High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. - Qiao Zhuang; Ruchi Guo (J. Comput. Appl. Math., 2019)

A Fixed Mesh Method with Immersed Finite Elements for Solving Interface Inverse Problems. - Ruchi Guo; Tao Lin 003; Yanping Lin (J. Sci. Comput., 2019)

A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems. - Ruchi Guo; Tao Lin 003 (SIAM J. Numer. Anal., 2019)

An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions. - Slimane Adjerid; Ivo Babuska; Ruchi Guo; Tao Lin 003 (CoRR, 2020)

Solving Two Dimensional H(curl)-elliptic Interface Systems with Optimal Convergence On Unfitted Meshes. - Ruchi Guo; Yanping Lin; Jun Zou (CoRR, 2020)

An immersed finite element method for elliptic interface problems in three dimensions. - Ruchi Guo; Tao Lin 003 (J. Comput. Phys., 2020)

Recovering elastic inclusions by shape optimization methods with immersed finite elements. - Ruchi Guo; Tao Lin 003; Yanping Lin (J. Comput. Phys., 2020)

A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh. - Shuhao Cao; Long Chen 002; Ruchi Guo (CoRR, 2021)

A Deep Direct Sampling Method for Solving Diffusive Optical Tomography. - Jiahua Jiang; Yi Li; Ruchi Guo (CoRR, 2021)

Immersed Virtual Element Methods for Elliptic Interface Problems. - Shuhao Cao; Long Chen 002; Ruchi Guo; Frank Lin (CoRR, 2021)

Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. - Ruchi Guo; Tao Lin 003; Yanping Lin; Qiao Zhuang (J. Comput. Appl. Math., 2021)

Solving three-dimensional interface problems with immersed finite elements: A-priori error analysis. - Ruchi Guo; Xu Zhang 003 (J. Comput. Phys., 2021)

Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis. - Ruchi Guo; Yulong Xing (J. Sci. Comput., 2021)

Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis. - Ruchi Guo (SIAM J. Numer. Anal., 2021)

Construct Deep Neural Networks based on Direct Sampling Methods for Solving Electrical Impedance Tomography. - Ruchi Guo; Jiahua Jiang (SIAM J. Sci. Comput., 2021)

Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions. - Shuhao Cao; Long Chen 002; Ruchi Guo (CoRR, 2022)

A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems. - Long Chen 002; Ruchi Guo; Jun Zou 003 (CoRR, 2022)

On the maximum angle conditions for polyhedra with virtual element methods. - Ruchi Guo (CoRR, 2022)

Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions. - Shuhao Cao; Long Chen 002; Ruchi Guo; Frank Lin (J. Sci. Comput., 2022)

Transformer Meets Boundary Value Inverse Problems. - Ruchi Guo; Shuhao Cao; Long Chen 002 (ICLR, 2023)

Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity. - Chunyu Chen; Ruchi Guo; Huayi Wei (CoRR, 2023)

Transformed Primal-Dual Methods with Variable-Preconditioners. - Long Chen; Ruchi Guo; Jingrong Wei (CoRR, 2023)

Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method. - Ruchi Guo; Jiahua Jiang; Yi Li (J. Sci. Comput., 2023)

A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional ( bf{H}( operatorname{curl}) ) Interface Problems. - Long Chen 002; Ruchi Guo; Jun Zou 003 (SIAM J. Sci. Comput., 2023)

γ-deepDSM for interface reconstruction: operator learning and a Learning-Automated FEM package. - Yangyang Zheng; Huayi Wei; Shuhao Cao; Ruchi Guo (CoRR, 2024)

Virtual element methods based on boundary triangulation:fitted and unfitted meshes. - Ruchi Guo (CoRR, 2025)

An Enriched Immersed Finite Element Method for 3D Interface Problems. - Ruchi Guo; Xu Zhang (CoRR, 2025)

Inexact Projected Preconditioned Gradient Methods with Variable Metrics: General Convergence Theory via Lyapunov Approach. - Ruchi Guo; Jun Zou (CoRR, 2025)