4 papers · 1 filter
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…