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.
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页码：23 / 38
页数：16
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