High order approximation of the inverse elliptic problem with dirichlet-neumann conditions

Charyyar Ashyralyyev

doi:10.2298/FIL1405947A

High order approximation of the inverse elliptic problem with dirichlet-neumann conditions

Charyyar Ashyralyyev

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

34 Citations (Scopus)

Abstract

Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

Original language	English
Pages (from-to)	947-962
Number of pages	16
Journal	Filomat
Volume	28
Issue number	5
DOIs	https://doi.org/10.2298/FIL1405947A
Publication status	Published - 2014
Externally published	Yes

Keywords

Almost coercive stability
Coercive stability
Difference scheme
High order accuracy
Inverse elliptic problem
Stability
Well-posedness

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10.2298/FIL1405947A

Cite this

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abstract = "Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.",

keywords = "Almost coercive stability, Coercive stability, Difference scheme, High order accuracy, Inverse elliptic problem, Stability, Well-posedness",

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AU - Ashyralyyev, Charyyar

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N2 - Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

AB - Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

KW - Almost coercive stability

KW - Coercive stability

KW - Difference scheme

KW - High order accuracy

KW - Inverse elliptic problem

KW - Stability

KW - Well-posedness

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U2 - 10.2298/FIL1405947A

DO - 10.2298/FIL1405947A

M3 - Article

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VL - 28

SP - 947

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JO - Filomat

JF - Filomat

IS - 5

ER -

High order approximation of the inverse elliptic problem with dirichlet-neumann conditions

Abstract

Keywords

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