Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions

Charyyar Ashyralyyev; Yasar Akkan

Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

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.

Original language	English
Article number	188
Journal	Electronic Journal of Differential Equations
Volume	2015
Publication status	Published - 13 Jul 2015
Externally published	Yes

Keywords

Almost coercive stability
Difference scheme
Inverse elliptic problem
Overdetermination
Stability

Cite this

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title = "Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions",

abstract = "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.",

keywords = "Almost coercive stability, Difference scheme, Inverse elliptic problem, Overdetermination, Stability",

author = "Charyyar Ashyralyyev and Yasar Akkan",

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year = "2015",

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T1 - Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions

AU - Ashyralyyev, Charyyar

AU - Akkan, Yasar

PY - 2015/7/13

Y1 - 2015/7/13

N2 - 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.

AB - 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.

KW - Almost coercive stability

KW - Difference scheme

KW - Inverse elliptic problem

KW - Overdetermination

KW - Stability

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SN - 1072-6691

VL - 2015

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 188

ER -

Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions

Abstract

Keywords

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