Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation. Issue 4 (4th March 2022)

• Record Type: Journal Article
• Authors: Zhang, Wensheng; Zhao, Zhongliu
• Is Part Of: Applicable analysis. Volume 101:Issue 4(2022)
• Page Start: 1430
• Page End: 1455
• Publication Date: 2022-03-04
• Subjects: Discrete Carleman estimates -- damped wave equation -- coefficient inverse problem -- semi-discrete -- convergence; 35R30 -- 35L05 -- 65N21; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1781826
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we study the convergence of a coefficient inverse problem for the two dimensional semi-discrete damped wave equation. Based on the new discrete Carleman estimates for the semi-discrete wave operator, the uniform stability estimate is proved. Then we prove the convergence of the semi-discrete scheme with respect to the discretization grid step h >0.