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

被引：4

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.

引用

页数：23

共 34 条

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