activity
20112021
most citedLinear sampling method for identifying cavities in a heat conductor

16 citations · 32 across the 9 of their papers we have counts for

collaborators

9 papers

math.AP2021★ 1 cited

The inverse source problem for the wave equation revisited: A new approach

Mourad Sini, Haibing Wang

The inverse problem of reconstructing a source term from boundary measurements, for the wave equation, is revisited. We propose a novel approach to recover the unknown source throu…

math.AP2020★ 2 cited

Duality between range and no-response tests and its application for inverse problems

Yi-Hsuan Lin, Gen Nakamura, Roland Potthast +1

In this paper we will show the duality between the range test (RT) and no-response test (NRT) for the inverse boundary value problem for the Laplace equation in $Ω\setminus\overlin…

math.AP2020

Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density

Mourad Sini, Haibing Wang, Qingyun Yao

We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the…

math-ph2019★ 3 cited

The factorization method for recovering cavities in a heat conductor

Jun Guo, Gen Nakamura, Haibing Wang

In this paper, we develop a factorization method to reconstruct cavities in a heat conductor by knowing the Neumann-to-Dirichlet map at the boundary of this conductor. The factoriz…

math.AP2019★ 1 cited

Reconstruction of unknown cavity by single measurement

Yi-Hsuan Lin, Gen Nakamura, Haibing Wang

In this paper we propose a domain sampling type reconstruction scheme for an inverse boundary value problem to identify an unknown cavity by single measurement on the accessible bo…

math.AP2019★ 7 cited

Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction

Mourad Sini, Haibing Wang

We estimate the heat conducted by a cluster of many small cavities. We show that the dominating heat is a sum, over the number of the cavities, of the heats generated by each cavit…