A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique

被引：4

作者：

Zhang, Jiansong ^{[1
]}

Zhu, Jiang ^{[2
]}

Poblete, Hector Andres Vargas ^{[3
]}

Jiang, Maosheng ^{[4
]}

机构：

[1] China Univ Petr, Dept Appl Math, Qingdao 266580, Peoples R China

[2] MCTI, Lab Nacl Computacao Cient, Ave Getulio Vargas 333, BR-25651075 Petropolis, RJ, Brazil

[3] Bio Bio Univ, Dept Math, Avda Collao 1202, Concepcion, Chile

[4] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 189卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Local exponential fitting; Mixed hybrid discontinuous Galerkin; method; Convection-diffusion-reaction equation; Convection-dominated; DISCONTINUOUS GALERKIN METHOD; BOUNDARY VALUE-PROBLEMS; SALTWATER INTRUSION; EULER;

D O I：

10.1016/j.apnum.2023.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new hybrid mixed finite element method is proposed for solving the convection-diffusion-reaction equation with local exponential fitting technique. In this method, the exponential fitting technique in [7] is used to discretize the convection-diffusion-reaction equation by introducing a new variable at element level; then the hybrid mixed discontinuous Galerkin finite element method is used to approximate the discretized problem. The convergence of the proposed method is analyzed, and the corresponding a priori error estimate is derived. The numerical results are presented to confirm our theoretical analysis. (c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：23 / 38

页数：16

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