A primal-dual finite element method for transport equations in non-divergence form
Li, Dan 1Wang, Chunmei 2Wang, Junping3
扫码查看
点击上方二维码区域，可以放大扫码查看
作者信息
1. Northwestern Polytech Univ
2. Univ Florida
3. Natl Sci Fdn
折叠
Abstract
This article presents a new primal-dual weak Galerkin (PDWG) finite element method for transport equations in non-divergence form. The PDWG method employs locally reconstructed differential operators and stabilizers in the weak Galerkin framework, and yields a symmetric discrete linear system involving the primal variable and the dual variable (known as the Lagrangian multiplier) for the adjoint equation. Optimal order error estimates are established in various discrete Sobolev norms for the corresponding numerical solutions. Numerical results are reported to illustrate the accuracy and efficiency of the new PDWG method. (c) 2022 Elsevier B.V. All rights reserved.
Key words
Primal-dual weak Galerkin/Finite element method/Weak Galerkin/Transport equation/Non-divergence/Discrete weak gradient/NONCOERCIVE
NSTL
Elsevier