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Following the work of Ambroso, Chalons, Coquel and Gali\u00e9 (2004), we propose to couple these systems by a bounded vector-valued Dirac measure, concentrated at the coupling interface, which in the applications may have a physical meaning. We show that the proposed framework allows the control of the coupling conditions and we propose an approximate Riemann solver based on a relaxation approach preserving equilibrium solutions of the coupled problem. Numerical experiments in constrained optimization problems are then presented to assess the performances of the present method.<\/p>","DOI":"10.1090\/mcom\/3063","type":"journal-article","created":{"date-parts":[[2016,1,21]],"date-time":"2016-01-21T08:56:22Z","timestamp":1453366582000},"page":"2305-2339","source":"Crossref","is-referenced-by-count":5,"title":["Choice of measure source terms in interface coupling for a model problem in gas dynamics"],"prefix":"10.1090","volume":"85","author":[{"given":"Fr\u00e9d\u00e9ric","family":"Coquel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edwige","family":"Godlewski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khalil","family":"Haddaoui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claude","family":"Marmignon","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florent","family":"Renac","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2016,2,1]]},"reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"594","DOI":"10.1006\/jcph.2000.6685","article-title":"Computations of compressible multifluids","volume":"169","author":"Abgrall, R\u00e9mi","year":"2001","journal-title":"J. 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