NUMERICAL SOLUTION TO INVERSE ELLIPTIC PROBLEM WITH NEUMANN TYPE OVERDETERMINATION AND MIXED BOUNDARY CONDITIONS

被引：0

作者：

Ashyralyyev, Charyyar ^{[1
]}

Akkan, Yasar ^{[1
]}

机构：

[1] Gumushane Univ, Dept Engn Math, Gumushane, Turkey

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Inverse elliptic problem; stability; almost coercive stability; overdetermination; difference scheme; EQUATION; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the numerical solution of inverse problems for the multidimensional elliptic equation with Dirichlet-Neumann boundary conditions and Neumann type overdetermination. We present first and second order accuracy difference schemes. The stability and almost coercive stability inequalities for the solution are obtained. Numerical examples with explanation on the implementation illustrate the theoretical results.

引用

下载

页数：15

共 50 条

[31] Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions
Gou, Kun
Sun, Bo
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) : 8765 - 8777
[32] Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions
Colorado, E
Peral, I
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 199 (02) : 468 - 507
[33] Mixed Biharmonic Problem with the Steklov-type and Neumann Boundary Conditions in Unbounded Domains
Giovanni Migliaccio
Hovik A. Matevossian
Lobachevskii Journal of Mathematics, 2022, 43 : 3222 - 3238
[34] Mixed Biharmonic Problem with the Steklov-type and Neumann Boundary Conditions in Unbounded Domains
Migliaccio, Giovanni
Matevossian, Hovik A. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (11) : 3222 - 3238
[35] A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method
Esen, A
Kutluay, S
APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (02) : 321 - 329
[36] A finite element method for a noncoercive elliptic problem with neumann boundary conditions
Kavaliou, Klim
Tobiska, Lutz
Computational Methods in Applied Mathematics, 2012, 12 (02) : 168 - 183
[37] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
J. Chabrowski
Journal d'Analyse Mathématique, 2018, 134 : 303 - 334
[38] On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
Chabrowski, J.
JOURNAL D ANALYSE MATHEMATIQUE, 2018, 134 (01): : 303 - 334
[39] Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
Hwang, TM
Wang, WC
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2002, 18 (03) : 261 - 279
[40] Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions
Mays, L
Norbury, J
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (05) : 461 - 470

← 1 2 3 4 5 →