An Lp-primal-dual finite element method for first-order transport problems

被引：2
|
作者：
Li, Dan [1 ]
Wang, Chunmei [2 ]
Wang, Junping [3 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[3] Natl Sci Fdn, Div Math Sci, Alexandria, VA 22314 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 434卷
基金：
美国国家科学基金会;
关键词：
Primal-dual; Weak Galerkin; Transport equation; Weak regularity; Lp stabilizer; Conservative methods; GALERKIN APPROXIMATIONS; STABILIZATION; CONVECTION;
D O I：
10.1016/j.cam.2023.115345
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new Lp-primal-dual weak Galerkin method (Lp-PDWG) with p > 1 is proposed for the first-order transport problems. The existence and uniqueness of the Lp-PDWG numerical solution is established. In addition, the Lp-PDWG method offers a numerical solution which retains mass conservation locally on each element. An optimal order error estimate is established for the primal variable. A series of numerical results are presented to verify the efficiency and accuracy of the proposed Lp-PDWG scheme. & COPY; 2023 Elsevier B.V. All rights reserved.
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页数：23
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