{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,8]],"date-time":"2024-01-08T00:10:05Z","timestamp":1704672605622},"reference-count":39,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071236"],"award-info":[{"award-number":["12071236"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["63213025"],"award-info":[{"award-number":["63213025"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We aim to analyze and calculate time-dependent acoustic wave scattering by a bounded obstacle and a locally perturbed non-selfintersecting curve.\nThe scattering problem is equivalently reformulated as an initial-boundary value problem of the wave equation in a truncated bounded domain through a well-defined transparent boundary condition.\nWell-posedness and stability of the reduced problem are established.\nNumerically, we adopt the perfect matched layer (PML) scheme for simulating the propagation of perturbed waves.\nBy designing a special absorbing medium in a semi-circular PML, we show the well-posedness and stability of the truncated initial-boundary value problem.\nFinally, we prove that the PML solution converges exponentially to the exact solution in the physical domain.\nNumerical results are reported to verify the exponential convergence with respect to absorbing medium parameters and thickness of the PML.<\/jats:p>","DOI":"10.1515\/cmam-2023-0017","type":"journal-article","created":{"date-parts":[[2023,7,7]],"date-time":"2023-07-07T09:42:17Z","timestamp":1688722937000},"page":"21-48","source":"Crossref","is-referenced-by-count":0,"title":["Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface"],"prefix":"10.1515","volume":"24","author":[{"given":"Hongxia","family":"Guo","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences and LPMC , Nankai University , 300071 Tianjin , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guanghui","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences and LPMC , Nankai University , 300071 Tianjin , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,7,8]]},"reference":[{"key":"2024010712054055981_j_cmam-2023-0017_ref_001","doi-asserted-by":"crossref","unstructured":"H. Ammari, G. Bao and A. W. Wood,\nAn integral equation method for the electromagnetic scattering from cavities,\nMath. Methods Appl. Sci. 23 (2000), no. 12, 1057\u20131072.","DOI":"10.1002\/1099-1476(200008)23:12<1057::AID-MMA151>3.0.CO;2-6"},{"key":"2024010712054055981_j_cmam-2023-0017_ref_002","doi-asserted-by":"crossref","unstructured":"H. Ammari, G. Bao and A. W. Wood,\nAnalysis of the electromagnetic scattering from a cavity,\nJapan J. Indust. Appl. 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