A systematic study on weak Galerkin finite-element method for second-order wave equation

被引：2
|
作者：
Jana, Puspendu [1 ]
Kumar, Naresh [1 ]
Deka, Bhupen [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Math, North Guwahati 781039, India
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 08期
关键词：
Wave equation; Finite-element method; Weak Galerkin method; Semidiscrete and fully discrete schemes; Optimal error estimates; DISCONTINUOUS GALERKIN; TIME; APPROXIMATIONS; CONVERGENCE;
D O I：
10.1007/s40314-022-02058-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we present a systematic numerical study for second-order linear wave equation using weak Galerkin finite-element methods (WG-FEMs). Various degrees of polynomials are used to construct weak Galerkin finite-element spaces. Error estimates in L-2 norm as well as in discrete H-1 norm have been established for general weak Galerkin space (P-k (K), P-j (partial derivative K), [P-l (K)](2)), where k, j&l are non-negative integers with k >= 1. Time discretization for fully discrete scheme is based on second order in time Newmark scheme. Finally, we provide several numerical results to confirm theoretical findings.
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页数：25
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