Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem

被引：3

作者：

Lanzara F. ^{[1
]}

机构：

[1] Dipartimento di Matematica, Università La Sapienza, 00185 Roma

来源：

CALCOLO | 1998年 / 35卷 / 2期

关键词：

Numerical Experiment; Green Function; Elliptic Equation; Dirichlet Problem; Numerical Approximation;

D O I：

10.1007/s100920050009

中图分类号：

学科分类号：

摘要：

This paper is concerned with the Dirichlet problem for a second order linear elliptic equation with bounded and measurable coefficients. By using the theory of intermediate operators methods for the calculus of the Green operator and of the corresponding Green function are given. Numerical experiments are included. © Springer-Verlag 1998.

引用

页码：63 / 92

页数：29

共 50 条

[31] Numerical solution of the nonlocal boundary value problem for elliptic equations
Ashyralyev, A.
Hamad, A.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018, 91 (03): : 99 - 107
[32] Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
Ashyralyyev, Charyyar
Dedeturk, Mutlu
BOUNDARY VALUE PROBLEMS, 2015,
[33] Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
Charyyar Ashyralyyev
Mutlu Dedeturk
Boundary Value Problems, 2015
[34] The Galerkin approximation of a kind of nonlinear operator equation for boundary value problem
Ding, R
Ding, FY
Zhang, Y
3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 784 - 788
[35] SOLVABILITY OF BOUNDARY VALUE PROBLEM FOR ELLIPTIC OPERATOR-DIFFERENTIAL EQUATIONS OF FOURTH ORDER WITH OPERATOR BOUNDARY CONDITIONS
Aliev, Araz R.
Rzayev, Elvin S.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2014, 40 : 13 - 22
[36] ASYMPTOTICS OF EIGENVALUES AND EIGENVALUES OF A DISCONTINUOUS BOUNDARY VALUE PROBLEM
Gasymov, Telman B.
Huseynli, Ali A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2011, 35 (43): : 21 - 32
[37] Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter in the Equation and a Boundary Condition
Aliev, B. A.
Kerimov, V. Z.
DIFFERENTIAL EQUATIONS, 2020, 56 (02) : 190 - 198
[38] SEPARATE ASYMPTOTICS OF 2 SERIES OF EIGENVALUES FOR A SINGLE ELLIPTIC BOUNDARY-VALUE PROBLEM
KOZHEVNIKOV, AN
MATHEMATICAL NOTES, 1977, 22 (5-6) : 882 - 888
[39] ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND REGULARIZED TRACE OF BOUNDARY VALUE PROBLEM FOR BESSEL'S OPERATOR EQUATION WITH EIGENVALUE DEPENDENT BOUNDARY CONDITION
Aslanova, Nigar M.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2008, 29 (37): : 21 - 42
[40] Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
Bogolubov A.N.
Malykh M.D.
Mukhartova Yu.V.
Computational Mathematics and Mathematical Physics, 2006, 46 (12) : 2129 - 2135

← 1 2 3 4 5 →