期刊论文、会议论文

Liu, Yikan

英文

MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS

2198-350X

2017

26

153-164

International Conference on Continuum Mechanics Focusing on Singularities (CoMFoS)

Mathematics for Industry

NOV 16-18, 2015

Kyushu Univ, Fukuoka, JAPAN

Kyushu Univ

Itou, H Kimura, M Chalupecky, V Ohtsuka, K Tagami, D Takada, A

152 BEACH ROAD, #21-01/04 GATEWAY EAST, SINGAPORE, 189721, SINGAPORE

SPRINGER-VERLAG SINGAPORE PTE LTD

978-981-10-2633-1; 978-981-10-2632-4

10.1007/978-981-10-2633-1_11

A3 Foresight Program "Modeling and Computation of Applied Inverse Problems," Japan Society for the Promotion of Science (JSPS); self-determined research funds of Central China Normal University from the colleges' basic research and operation of MOE [CCNU14A05039]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11326233, 11401241, 11571265]; JSPSMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of Science [15H05740]; Grants-in-Aid for Scientific ResearchMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of ScienceGrants-in-Aid for Scientific Research (KAKENHI) [16F16319] Funding Source: KAKEN

本校为第一机构

In this chapter, we study the inverse problem on recovering a spatial component of the source term in a wave equation by the final observation data. Employing the analytic Fredholm theory , we establish a generic well-posedness result concerning the uniqueness of our inverse source problem . Numerically, by treating a corresponding minimization problem, we investigate the variational equation for the minimizer and develop an iterative thresholding algorithm . One- and two-dimensional numerical experiments are implemented to demons...