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 |
An inverse problem of parameter estimation for time-fractional heat conduction in a composite medium using carbon–carbon experimental data Q Zhuang, B Yu, X Jiang Physica B: Condensed Matter 456, 9-15, 2015 | 41 | 2015 |
Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media S Adjerid, T Lin, Q Zhuang Journal of Scientific Computing 84 (2), 1-25, 2020 | 17 | 2020 |
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 | 17 | 2019 |
Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems T Lin, Q Zhuang Journal of Computational and Applied Mathematics 366, 112401, 2020 | 15 | 2020 |
Solving Interface Problems of the Helmholtz Equation by Immersed Finite Element Methods T Lin, Y Lin, Q Zhuang Communications on Applied Mathematics and Computation 1 (2), 187-206, 2019 | 13 | 2019 |
Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems R Guo, T Lin, Y Lin, Q Zhuang Journal of Computational and Applied Mathematics 390, 113378, 2021 | 11 | 2021 |
A spatial epidemic model with a moving boundary Q Zhuang, J Wang Infectious Disease Modelling 6, 1046-1060, 2021 | 9 | 2021 |
An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Equations with Moving Interfaces J Wang, X Zhang, Q Zhuang International Journal of Numerical Analysis & Modeling 19 (4), 563-586, 2022 | 7* | 2022 |
Radial Basis Methods for Integral Fractional Laplacian Using Arbitrary Radial Functions Q Zhuang, A Heryudono, F Zeng, Z Zhang Available at SSRN 4283586, 2022 | 2 | 2022 |
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions Q Zhuang, A Heryudono, F Zeng, Z Zhang Applied Mathematics and Computation 469, 128548, 2024 | | 2024 |
Two-scale Neural Networks for Partial Differential Equations with Small Parameters Q Zhuang, CZ Yao, Z Zhang, GE Karniadakis arXiv preprint arXiv:2402.17232, 2024 | | 2024 |
Radial basis function methods for integral fractional Laplacian using arbitrary radial functions Q Zhuang, A Heryudono, F Zeng, Z Zhang 2023 Spring Central Sectional Meeting, 2023 | | 2023 |
Radial basis function methods for PDEs with integral fractional Laplacian Q Zhuang, A Heryudono, F Zeng, Z Zhang 2023 Joint Mathematics Meetings (JMM 2023), 2023 | | 2023 |
Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications Q Zhuang Virginia Tech, 2020 | | 2020 |