Fully Discrete Method for the Boundary Integral Equations of Eigenvalue Problems

被引：0

作者：

Luo, Xin ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

来源：

COMPUTER SCIENCE AND TECHNOLOGY (CST2016) | 2017年

关键词：

Eigenvalue problems; Fully discrete method; Convergence;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the fully discrete method is applied for the eigensolutions of the Laplace equation on smooth closed boundaries. The fully discrete method mainly consists of two levels of numerical quadrature: the trapezoidal rule for the integrals including the weakly singularity, and the discrete inner product for the outer integrals. The convergence and error results of the fully discrete method for Steklov eigenvalue problems are provided. Thereafter, the numerical examples demonstrate the efficiency of the fully discrete method.

引用

页码：1004 / 1009

页数：6

共 50 条

[21] An integral method for solving nonlinear eigenvalue problems
Beyn, Wolf-Juergen
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (10) : 3839 - 3863
[22] Boundary value problems for discrete equations
Agarwal, RP
ORegan, D
APPLIED MATHEMATICS LETTERS, 1997, 10 (04) : 83 - 89
[23] The method of boundary integral equations in unsteady boundary-value problems of uncoupled thermoelasticity
Alekseyeva, LA
Dadayeva, AN
Zhanbyrbayev, NB
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1999, 63 (05): : 803 - 808
[24] Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems
Afanas'eva, E. B.
Vasil'ev, V. B.
Bongay, A. B. Kamanda
DIFFERENTIAL EQUATIONS, 2023, 59 (12) : 1698 - 1707
[25] ON THE BOUNDARY INTEGRAL EQUATIONS METHOD FOR EXTERIOR BOUNDARY VALUE PROBLEMS FOR INFINITE SYSTEMS OF ELLIPTIC EQUATIONS OF SPECIAL KIND
Muzychuk, Yuriy
JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS, 2014, 2 (116): : 96 - 112
[26] A boundary integral equation method for the transmission eigenvalue problem
Cakoni, Fioralba
Kress, Rainer
APPLICABLE ANALYSIS, 2017, 96 (01) : 23 - 38
[27] A method of parametrizing the boundary conditions in eigenvalue problems
Kuznetsov, VV
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1995, 35 (08) : 925 - 932
[28] Spectra of Discrete Symplectic Eigenvalue Problems with Separated Boundary Conditions
Eliseeva, Yu. V.
RUSSIAN MATHEMATICS, 2011, 55 (11) : 71 - 75
[29] Eigenvalue comparisons for boundary value problems of the discrete beam equation
Ji, Jun
Yang, Bo
ADVANCES IN DIFFERENCE EQUATIONS, 2006, 2006 (1)
[30] ON BOUNDARY INTEGRAL-EQUATIONS FOR CRACK PROBLEMS
MARTIN, PA
RIZZO, FJ
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 421 (1861): : 341 - 355

← 1 2 3 4 5 →