Convergence of Stabilized P1 Finite Element Scheme for Time Harmonic Maxwell's Equations

被引：0
|
作者：
Asadzadeh, M. [1 ]
Beilina, Larisa [1 ,2 ]
机构：
[1] Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden
[2] Univ Gothenburg, S-41296 Gothenburg, Sweden
来源：
MATHEMATICAL AND NUMERICAL APPROACHES FOR MULTI-WAVE INVERSE PROBLEMS, CIRM | 2020年 / 328卷
关键词：
Time harmonic Maxwell's equations; P-1 finite elements; A priori estimate; A posteriori estimate; Convergence; RECONSTRUCTION;
D O I：
10.1007/978-3-030-48634-1_4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper considers the convergence study of the stabilized P1 finite element method for the time harmonic Maxwell's equations. The model problem is for the particular case of the dielectric permittivity function which is assumed to be constant in a boundary neighborhood. For the stabilized model a coercivity relation is derived that guarantee's the existence of a unique solution for the discrete problem. The convergence is addressed both in a priori and a posteriori settings. Our numerical examples validate obtained convergence results.
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页码：33 / 43
页数：11
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