{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,25]],"date-time":"2026-09-25T18:59:40Z","timestamp":1790362780352,"version":"4.1.0"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"name":"TOTAL E&P Research and Technology"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>Time-domain discontinuous Galerkin (DG) methods for wave propagation require accounting for the inversion of dense elemental mass matrices, where each mass matrix is computed with respect to a parameter-weighted $L^2$ inner product. In applications where the wavespeed varies spatially at a subelement scale, these matrices are distinct over each element, necessitating additional storage. In this work, we propose a weight-adjusted DG (WADG) method that reduces storage costs by replacing the weighted $L^2$ inner product with a weight-adjusted inner product. This equivalent inner product results in an energy-stable method but does not increase storage costs for locally varying weights. A priori error estimates are derived, and numerical examples are given illustrating the application of this method to the acoustic wave equation with heterogeneous wavespeed.<\/jats:p>","DOI":"10.1137\/16m1089186","type":"journal-article","created":{"date-parts":[[2017,12,12]],"date-time":"2017-12-12T13:39:33Z","timestamp":1513085973000},"page":"A2935-A2961","source":"Crossref","is-referenced-by-count":28,"title":["Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media"],"prefix":"10.1137","volume":"39","author":[{"given":"Jesse","family":"Chan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Russell J.","family":"Hewett","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"T.","family":"Warburton","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,12,12]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2478.2011.00967.x"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1007\/s10596-008-9124-8"},{"key":"atypb3","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1785\/BSSA0880020368","volume":"88","author":"Komatitsch D.","year":"1998","journal-title":"Bull. 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