{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T10:18:35Z","timestamp":1742379515287},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,10,25]],"date-time":"2006-10-25T00:00:00Z","timestamp":1161734400000},"content-version":"vor","delay-in-days":4284,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Concurrency: Pract. Exper."],"published-print":{"date-parts":[[1995,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Modern PDE solvers written for time\u2010dependent problems increasingly employ adaptive unstructured meshes (Flaherty <jats:italic>et al.<\/jats:italic>, 1989) in order to both increase efficiency and control the numerical error. If a distributed memory parallel computer is to be used, there arises the significant problem of dividing the domain equally amongst the processors whilst minimising the inter\u2010subdomain dependencies. A number of graph\u2010based algorithms have recently been proposed for steady\u2010state calculations. The paper considers an extension to such methods which renders them more suitable for time\u2010dependent problems in which the mesh may be changed frequently.<\/jats:p>","DOI":"10.1002\/cpe.4330070103","type":"journal-article","created":{"date-parts":[[2006,11,17]],"date-time":"2006-11-17T15:07:32Z","timestamp":1163776052000},"page":"17-28","source":"Crossref","is-referenced-by-count":32,"title":["Dynamic load\u2010balancing for PDE solvers on adaptive unstructured meshes"],"prefix":"10.1002","volume":"7","author":[{"given":"Chris","family":"Walshaw","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Berzins","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,25]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"60","volume-title":"Advances in Computer Methods for Partial Differential Equations VII","author":"Berzins M.","year":"1992"},{"key":"e_1_2_1_3_2","first-page":"794","volume-title":"Advances in Computer Methods for Partial Differential Equations VII","author":"Ware J.","year":"1992"},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","unstructured":"B.HendricksonandR.Leland \u2018Multidimensional spectral load balancing \u2019 Tech. 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K.Mathur S.Lennart JohnssonandT. J. R.Hughes \u2018An efficient communication strategy for finite element methods on the connection machine CM\u20105 system \u2019 Tech. Rep. No. 256 Thinking Machines Corp. Cambridge MA 1993(submitted for publication)."},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-2112-3"},{"key":"e_1_2_1_16_2","volume-title":"Proc. of Workshop on Adaptive Computational Methods for Partial Differential Equations","author":"Flaherty J. 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