Finite Element Method and Discontinuous Galerkin Method for Stochastic Scattering Problem of Helmholtz Type in ℝd (d = 2, 3)

被引：0
|
作者：
Yanzhao Cao
Ran Zhang
Kai Zhang
机构：
[1] Florida A&M,Department of Mathematics
[2] University,Department of Mathematics
[3] Jilin University,undefined
来源：
Potential Analysis | 2008年 / 28卷
关键词：
Finite element method; Discontinuous Galerkin method; Stochastic Helmholtz equation; 65C30; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we address the finite element method and discontinuous Galerkin method for the stochastic scattering problem of Helmholtz type in ℝd (d = 2, 3). Convergence analysis and error estimates are presented for the numerical solutions. The effects of the noises on the accuracy of the approximations are illustrated. Results of the numerical experiments are provided to examine our theoretical results.
引用
收藏
页码：301 / 319
页数：18
相关论文
共 50 条
  • [1] Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in Rd (d=2, 3)
    Cao, Yanzhao
    Zhang, Ran
    Zhang, Kai
    POTENTIAL ANALYSIS, 2008, 28 (04) : 301 - 319
  • [2] The discontinuous Galerkin finite element method for the 2D shallow water equations
    Li, H
    Liu, RX
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2001, 56 (03) : 223 - 233
  • [3] Finite element and discontinuous Galerkin method for stochastic Helmholtz equation in two- and three-dimensions
    Cao, Yanzhao
    Zhang, Ran
    Zhang, Kai
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 26 (05) : 702 - 715
  • [4] Finite element and discontinuous Galerkin method for stochastic Helmholtz equation in two- and three-dimensions
    Department of Mathematics, Florida A and M University, Tallahassee, FL32307, United States
    不详
    J Comput Math, 2008, 5 (702-715):
  • [5] FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR STOCHASTIC HELMHOLTZ EQUATION IN TWO-AND THREE-DIMENSIONS
    Yanzhao Cao Department of Mathematics
    JournalofComputationalMathematics, 2008, 26 (05) : 702 - 715
  • [6] A Discontinuous Galerkin Finite Element Method based axial SN for the 2D/ 1D transport method
    Kong, Boran
    Zhu, Kaijie
    Zhang, Han
    Hao, Chen
    Guo, Jiong
    Li, Fu
    PROGRESS IN NUCLEAR ENERGY, 2022, 152
  • [7] Thermal Analysis of 3D Integrated Circuits Based on Discontinuous Galerkin Finite Element Method
    Zjajo, Amir
    van der Meijs, Nick
    van Leuken, Rene
    2012 13TH INTERNATIONAL SYMPOSIUM ON QUALITY ELECTRONIC DESIGN (ISQED), 2012, : 117 - 122
  • [8] Discontinuous Galerkin Finite Element Method for a Nonlinear Boundary Value Problem
    Tie ZHANG
    Jian-Bao LI
    Acta Mathematicae Applicatae Sinica, 2014, (02) : 521 - 532
  • [9] Discontinuous Galerkin finite element method for a nonlinear boundary value problem
    Tie Zhang
    Jian-Bao Li
    Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 521 - 532
  • [10] Discontinuous Galerkin Finite Element Method for a Nonlinear Boundary Value Problem
    Zhang, Tie
    Li, Jian-Bao
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (02): : 521 - 532
12345