FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR STOCHASTIC HELMHOLTZ EQUATION IN TWO-AND THREE-DIMENSIONS

被引：0
作者：
Yanzhao Cao Department of MathematicsFlorida AM UniversityTallahasseeFLUSA Ran Zhang Kai Zhang Department of MathematicsJilin UniversityChangchun China [32307 ,130023 ]
机构：
来源：
JournalofComputationalMathematics | 2008年 / 26卷 / 05期
关键词：
Stochastic partial differential equation; Finite element method; Discontinuous Galerkin method; Stochastic Helmholtz equation;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
<正> In this paper,we consider the finite element method and discontinuous Galerkin methodfor the stochastic Helmholtz equation in Rd （d=2,3）.Convergence analysis and error estimatesare presented for the numerical solutions.The effects of the noises on the accuracyof the approximations are illustrated.Numerical experiments are carried out to verify ourtheoretical results.
引用
收藏
页码：702 / 715
页数：14
相关论文
共 50 条
[41]   Discontinuous Galerkin Finite-Element Method for Simulation of Flood in Crossroads [J].
Ghostine, Rabih ;
Mignot, Emmanuel ;
Abdallah, Maher ;
Lawniczak, Fabrice ;
Vazquez, Jose ;
Mose, Robert ;
Gregoire, Caroline .
JOURNAL OF HYDRAULIC ENGINEERING, 2010, 136 (08) :474-482
[42]   Preconditionning techniques for the solution of the Helmholtz equation by the finite element method [J].
Kechroud, R ;
Soulaimani, A ;
Saad, Y .
COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2003, PT 2, PROCEEDINGS, 2003, 2668 :847-858
[43]   Preconditioning techniques for the solution of the Helmholtz equation by the finite element method [J].
Kechroud, R ;
Soulaimani, A ;
Saad, Y ;
Gowda, S .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 65 (4-5) :303-321
[44]   A finite element method for scalar Helmholtz equation with field singularities [J].
Igarashi, H ;
Honma, T .
IEICE TRANSACTIONS ON ELECTRONICS, 1996, E79C (01) :131-138
[45]   A nearly optimal Galerkin projected residual finite element method for Helmholtz problem [J].
Dutra do Carmo, Eduardo Gomes ;
Alvarez, Gustavo Benitez ;
Dourado Loula, Abimael Fernando ;
Rochinha, Fernando Alves .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (13-16) :1362-1375
[46]   A Discontinuous Galerkin Finite Element Method with Physical Modal Basis for the Neutron Transport Equation on Arbitrary Polygonal Meshes [J].
Dai, Tao ;
Xu, Longfei ;
Li, Baiwen ;
Shen, Huayun ;
Shi, Xueming .
NUCLEAR SCIENCE AND ENGINEERING, 2024, 198 (09) :1759-1775
[47]   Discontinuous Galerkin finite-element method for transcritical two-dimensional shallow water flows [J].
Schwanenberg, D ;
Harms, M .
JOURNAL OF HYDRAULIC ENGINEERING, 2004, 130 (05) :412-421
[48]   Galerkin finite element method for the Rosenau-RLW equation [J].
Atouani, Noureddine ;
Omrani, Khaled .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (03) :289-303
[49]   A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation [J].
Liu, Xuewei ;
Yang, Zhanwen ;
Ma, Qiang ;
Ding, Xiaohua .
APPLIED NUMERICAL MATHEMATICS, 2024, 204 :1-25
[50]   DISPERSION ANALYSIS AND ERROR ESTIMATION OF GALERKIN FINITE-ELEMENT METHODS FOR THE HELMHOLTZ-EQUATION [J].
IHLENBURG, F ;
BABUSKA, I .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (22) :3745-3774
12345