A group of immersed finite-element spaces for elliptic interface problems R Guo, T Lin IMA Journal of Numerical Analysis 39 (1), 482-511, 2019 | 63 | 2019 |
An immersed finite element method for elliptic interface problems in three dimensions R Guo, T Lin Journal of Computational Physics 414, 109478, 2020 | 44 | 2020 |
A higher degree immersed finite element method based on a Cauchy extension for elliptic interface problems R Guo, T Lin SIAM Journal on Numerical Analysis 57 (4), 1545-1573, 2019 | 44 | 2019 |
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems R Guo, T Lin, Q Zhuang Int. J. Numer. Anal. Model 16 (4), 575-589, 2019 | 42 | 2019 |
Nonconforming immersed finite element spaces for elliptic interface problems R Guo, T Lin, X Zhang Computers & Mathematics with Applications 75 (6), 2002-2016, 2018 | 38 | 2018 |
High degree immersed finite element spaces by a least squares method S Adjerid, R Guo, T Lin Int. J. Numer. Anal. Model 14 (4-5), 604-626, 2017 | 34 | 2017 |
Solving parabolic moving interface problems with dynamical immersed spaces on unfitted meshes: fully discrete analysis R Guo SIAM Journal on Numerical Analysis 59 (2), 797-828, 2021 | 31 | 2021 |
Approximation capabilities of immersed finite element spaces for elasticity interface problems R Guo, T Lin, Y Lin Numerical Methods for Partial Differential Equations 35 (3), 1243-1268, 2019 | 30 | 2019 |
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh S Cao, L Chen, R Guo Mathematical Models and Methods in Applied Sciences 31 (14), 2907-2936, 2021 | 25 | 2021 |
Error estimates for a partially penalized immersed finite element method for elasticity interface problems R Guo, T Lin, Y Lin ESAIM: Mathematical Modelling and Numerical Analysis 54 (1), 1-24, 2020 | 24 | 2020 |
An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions S Adjerid, I Babuška, R Guo, T Lin Computer Methods in Applied Mechanics and Engineering 404, 115770, 2023 | 23 | 2023 |
A fixed mesh method with immersed finite elements for solving interface inverse problems R Guo, T Lin, Y Lin Journal of Scientific Computing 79, 148-175, 2019 | 23 | 2019 |
Construct deep neural networks based on direct sampling methods for solving electrical impedance tomography R Guo, J Jiang SIAM Journal on Scientific Computing 43 (3), B678-B711, 2021 | 19 | 2021 |
Recovering elastic inclusions by shape optimization methods with immersed finite elements R Guo, T Lin, Y Lin Journal of Computational Physics 404, 109123, 2020 | 19 | 2020 |
Transformer meets boundary value inverse problems R Guo, S Cao, L Chen The Eleventh International Conference on Learning Representations (ICLR 2023), 2023 | 18 | 2023 |
High degree discontinuous Petrov–Galerkin immersed finite element methods using fictitious elements for elliptic interface problems Q Zhuang, R Guo Journal of Computational and Applied Mathematics 362, 560-573, 2019 | 18 | 2019 |
Solving two-dimensional H (curl)-elliptic interface systems with optimal convergence on unfitted meshes R Guo, Y Lin, J Zou European Journal of Applied Mathematics 34 (4), 774-805, 2023 | 17 | 2023 |
Solving three-dimensional interface problems with immersed finite elements: A-priori error analysis R Guo, X Zhang Journal of computational physics 441, 110445, 2021 | 16 | 2021 |
Immersed virtual element methods for electromagnetic interface problems in three dimensions S Cao, L Chen, R Guo Mathematical Models and Methods in Applied Sciences 33 (03), 455-503, 2023 | 15 | 2023 |
Immersed virtual element methods for elliptic interface problems in two dimensions S Cao, L Chen, R Guo, F Lin Journal of Scientific Computing 93 (1), 12, 2022 | 15 | 2022 |