{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,3]],"date-time":"2025-07-03T04:13:32Z","timestamp":1751516012140,"version":"3.41.0"},"reference-count":47,"publisher":"Walter de Gruyter GmbH","issue":"3","funder":[{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["CityU 21309522"],"award-info":[{"award-number":["CityU 21309522"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we design a staggered discontinuous Galerkin method for the wave propagation in poroelastic media on general polygonal meshes.\nThe proposed method is robust with respect to the shape of the grids and can handle hanging nodes simply.\nThe scheme shows great advantage in handling problems with complex geometries.\nThe scheme is constructed based on the first-order hyperbolic velocity-stress system of the governing equations (i.e., Biot\u2019s equations).\nStaggered continuities are imposed for the construction of the approximation spaces, as such penalty term is not needed in contrast to other DG methods.\nThe symmetry of stress is weakly enforced via the introduction of a suitable Lagrange multiplier.\nThe stability and convergence error estimates are analyzed.\nSeveral numerical experiments are carried out to test the performances of the proposed scheme.\nNumerical experiments confirm that the proposed scheme can handle polygonal elements with arbitrarily small edges without losing convergence order.<\/jats:p>","DOI":"10.1515\/cmam-2024-0194","type":"journal-article","created":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T17:08:26Z","timestamp":1749748106000},"page":"741-757","source":"Crossref","is-referenced-by-count":1,"title":["A Staggered Discontinuous Galerkin Method for the Simulation of Wave Propagation in Poroelastic Media"],"prefix":"10.1515","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9606-8231","authenticated-orcid":false,"given":"Lina","family":"Zhao","sequence":"first","affiliation":[{"name":"Department of Mathematics , 53025 City University of Hong Kong , Kowloon Tong , Hong Kong SAR , P. R. China"}]}],"member":"374","published-online":{"date-parts":[[2025,6,12]]},"reference":[{"key":"2025070217063930500_j_cmam-2024-0194_ref_001","unstructured":"D. Appel\u00f6 and N. A. Petersson,\nA stable finite difference method for the elastic wave equation on complex geometries with free surfaces,\nCommun. Comput. Phys. 5 (2009), no. 1, 84\u2013107."},{"key":"2025070217063930500_j_cmam-2024-0194_ref_002","doi-asserted-by":"crossref","unstructured":"E. B\u00e9cache, P. Joly and C. Tsogka,\nAn analysis of new mixed finite elements for the approximation of wave propagation problems,\nSIAM J. Numer. Anal. 37 (2000), no. 4, 1053\u20131084.","DOI":"10.1137\/S0036142998345499"},{"key":"2025070217063930500_j_cmam-2024-0194_ref_003","doi-asserted-by":"crossref","unstructured":"L. Beir\u00e3o da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini and A. Russo,\nBasic principles of virtual element methods,\nMath. Models Methods Appl. 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