Publications in Refereed Journals

  1. L. Chen, R. Guo, and J. Zou, A Family of Immersed Finite Element Spaces and Applications to Three Dimensional H(curl) Interface Problems, SIAM J. Sci. Comput., 2023, [link]
  2. S. Cao, L. Chen and R. Guo, Immersed Virtual Element Methods for Electromagnetic Interface Problems in Three Dimensions, Math. Models Methods Appl. Sci., 2023, [link]
  3. R. Guo, S. Cao, and L. Chen, Transformer Meets Boundary Value Inverse Problems, International Conference on Learning Representations (ICLR), 2023, [link]
  4. S. Adjerid, I. Babuska, R. Guo and T. Lin, An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions, Comput. Methods Appl. Mech. Engrg., 2023, [link]
  5. R. Guo, Y. Li and J. Jiang, Learn an index operator by CNN for solving diffusive optical tomography: a deep direct sampling method, J. Sci. Comput., [link]
  6. \item R. Guo, Y.P. Lin and J. Zou, Solving Two Dimensional H(curl)-elliptic Interface Systems with Optimal Convergence on Unfitted Meshes, Eur. J. Appl. Math., 2022, [link]
  7. S. Cao, L. Chen and R. Guo, Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions, J. Sci. Comput., 93(2022), [link]
  8. S. Cao, L. Chen and R. Guo. A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh , Math. Models Methods Appl. Sci., (31)2021, [link]
  9. R. Guo and X. Zhang, Solving Three-Dimensional Interface Problems with Immersed Finite Elements: A-Priori Error Analysis, J. Comput. Phys., (441)2021, [link]
  10. R. Guo and J. Jiang. Construct Deep Neural Networks Based on Direct Sampling Methods for Solving Electrical Impedance Tomography , SIAM J. Sci. Comput., 43(2021), [link]
  11. R. Guo, Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis, SIAM J. Numer. Anal., (59)2020, [link]
  12. R. Guo and Y. Xing, Optimal Energy Conserving Local Discontinuous Galerkin Methods For Linear Elastic Wave Equations: Fully Discrete Convergence Analysis, J. Sci. Comput., (87)2021, [link]
  13. R. Guo, T. Lin, Y. Lin and Q. Zhuang, Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems, J. Comput. Appl. Math., (390)2020, [link]
  14. R. Guo and T. Lin, An immersed finite element method for elliptic interface problems in three dimensions, J. Comput. Phys, (414)2020. [link]
  15. R. Guo, T. Lin and Y. P. Lin, Recovering Elastic Inclusions by Shape Optimization Methods with Immersed Finite Elements, J. Comput. Phys, (404)2020. [link]
  16. R. Guo, T. Lin and Y. P. Lin,, Error Estimates For A Partially Penalized Immersed Finite Element Method For Elasticity Interface Problems, ESAIM Math. Model. Numer. Anal., (54)2020, [link]
  17. R. Guo and T. Lin, A High Order Immersed Finite Element Method Based on a Cauchy Extension, SIAM J. Numer. Anal, 57(2019), pp.1545-1573. [link]
  18. R. Guo, T. Lin and Q. Zhuang, Improved Error Estimation for Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems, Int. J. Numer. Anal. Model., 16(2019), pp.575-589. [link]
  19. R. Guo, T. Lin and Y.P. Lin, Approximation Capabilities of Immersed Finite Element Spaces for Elasticity Interface Problems, Numer. Methods Partial Differential Equations, 35(2019), pp.1243-1268. [link]
  20. R. Guo, T. Lin and Y. P. Lin, A Fixed Mesh Method With Immersed Finite Elements for Solving Interface Inverse Problems, J. Sci. Comput., 79(2019), pp.148-175. [link]
  21. R. Guo and Q. Zhuang, High Degree Discontinuous Petrov-Galerkin Immersed Finite Element Methods using Fictitious Elements for Elliptic Interface Problems, J. Comput. Appl. Math., 362(2019), pp.560-573. [link]
  22. R. Guo, T. Lin and X. Zhang, Nonconforming Immersed Finite Element Spaces for Elliptic Interface Problems, Comput. Math. Appl., 75(2018), pp.2002-2016. [link]
  23. R. Guo and T. Lin, A Group of Immersed Finite Element Spaces For Elliptic Interface Problems, IMA J. Numer. Anal., 39(2019), pp.482-511. [link]
  24. S. Adjerid, R. Guo and T. Lin, High Degree Immersed Finite Element Spaces by a Least Squares Method, Int. J. Numer. Anal. Model. 14(2017), pp.604-626. [link]

Preprints

  1. R. Guo, On the maximum angle conditions for polyhedra with virtual element methods, submitted, 2023, [link]
  2. C. Chen, R. Guo, H. Wei, Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity, submitted, 2023, [link]