ON OPTIMIZATION METHOD FOR WAVE EQUATION IN A PARALLELEPIPED

Abstract In this paper the mixed conditions problem is considered for the wave equation in two-dimensional case. A theorem on uniqueness of the solution of the appropriate inverse problem is proved. In the optimal control problem compared to the inverse problem, a theorem on the existence of an optimal control is proved, sufficient and necessary condition of optimality is derived in the form of variational inequality.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-12
DOI
https://doi.org/10.5281/zenodo.14499252
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
0.00
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article

ON OPTIMIZATION METHOD FOR WAVE EQUATION IN A PARALLELEPIPED

Zenodo (CERN European Organization for Nuclear Research)
Numerical methods in inverse problems
article

ON OPTIMIZATION METHOD FOR WAVE EQUATION IN A PARALLELEPIPED

article en

Abstract

Abstract In this paper the mixed conditions problem is considered for the wave equation in two-dimensional case. A theorem on uniqueness of the solution of the appropriate inverse problem is proved. In the optimal control problem compared to the inverse problem, a theorem on the existence of an optimal control is proved, sufficient and necessary condition of optimality is derived in the form of variational inequality.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 49%
Numerical methods in inverse problems
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ON OPTIMIZATION METHOD FOR WAVE EQUATION IN A PARALLELEPIPED · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS