{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T07:05:09Z","timestamp":1761807909417},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"name":"DFG Research Center Matheon Berlin","award":["C33"],"award-info":[{"award-number":["C33"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A novel finite element method (FEM) for the computational\nsimulation in particle reinforced composite materials with many inclusions is presented.\nIt is based on a specially designed mesh consisting of triangles and channel-like connections between inclusions which form a network structure.\nThe total number of elements and, hence, the number of degrees of freedom are proportional to the number of inclusions.\nThe error of the method is independent of the possibly tiny distances of neighboring inclusions.\nWe present algorithmic details for the generation of the problem-adapted mesh and derive an efficient residual a posteriori error estimator which enables us to compute reliable upper and lower error bounds.\nSeveral numerical examples illustrate the performance of the method and the error estimator.\nIn particular, it is demonstrated that the (common) assumption of a lattice structure of inclusions can easily lead to incorrect predictions about material properties.<\/jats:p>","DOI":"10.1515\/cmam-2014-0027","type":"journal-article","created":{"date-parts":[[2014,10,29]],"date-time":"2014-10-29T13:59:06Z","timestamp":1414591146000},"page":"21-37","source":"Crossref","is-referenced-by-count":3,"title":["Simulation of Composite Materials by a Network FEM with Error Control"],"prefix":"10.1515","volume":"15","author":[{"given":"Martin","family":"Eigel","sequence":"first","affiliation":[{"name":"Weierstra\u00df Institute, Mohrenstr. 39, 10117 Berlin, Germany"}]},{"given":"Daniel","family":"Peterseim","sequence":"additional","affiliation":[{"name":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115 Bonn, Germany"}]}],"member":"374","published-online":{"date-parts":[[2014,10,29]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/15\/1\/article-p21.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0027\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0027\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T18:42:59Z","timestamp":1680288179000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0027\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,29]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,1]]},"published-print":{"date-parts":[[2015,1,1]]}},"alternative-id":["10.1515\/cmam-2014-0027"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2014-0027","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,29]]}}}