7 papers
A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems
Jie Peng, Shi Shu, Junxian Wang +1
The solution of nonsymmetric but positive definite (NSPD) systems arising from advection-diffusion problems is an important research topic in science and engineering. Balancing dom…
Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems
Qing Lu, Junxian Wang, Shi Shu +1
The research of two-level overlapping Schwarz (TL-OS) method based on constrained energy minimizing coarse space is still in its infancy, and there exist some defects, e.g. mainly…
Discontinuous Galerkin methods for semilinear elliptic boundary value problem
Jiajun Zhan, Liuqiang Zhong, Jie Peng
A discontinuous Galerkin (DG) scheme for solving semilinear elliptic problem is developed and analyzed in this paper. The DG finite element discretizations are established, and the…
Adaptive-Multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems
Jie Peng, Shi Shu, Junxian Wang +1
In this paper, we are concerned with the weighted plane wave least-squares (PWLS) method for three-dimensional Helmholtz equations, and develop the multi-level adaptive BDDC algori…
Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations
Jie Peng, Junxian Wang, Shi Shu
Balancing domain decomposition by constraints (BDDC) algorithms with adaptive primal constraints are developed in a concise variational framework for the weighted plane wave least-…
An adaptive BDDC algorithm in variational form for mortar discretizations
Jie Peng, Shi Shu, Junxian Wang
A balancing domain decomposition by constraints (BDDC) algorithm with adaptive primal constraints in variational form is introduced and analyzed for high-order mortar discretizatio…
Error estimates on a finite volume method for diffusion problems with interface on Eulerian grids
Jie Peng, Shi Shu, Haiyuan Yu +3
The finite volume methods are frequently employed in the discretization of diffusion problems with interface. In this paper, we firstly present a vertex-centered MACH-like finite v…