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The numerical approach considers one phase field variable for each object and allows for an independent adaptive mesh refinement for each variable. Using the special structure of various terms allows interpolating the solution on one mesh onto another without loss of information. Together with a general multi-mesh concept for the other terms speedup by a factor of two can be demonstrated which improves with the number of interacting objects. The general concept is demonstrated on an example describing the interaction of red blood cells in an idealized vessel.<\/jats:p>","DOI":"10.1515\/cmam-2016-0003","type":"journal-article","created":{"date-parts":[[2016,1,18]],"date-time":"2016-01-18T16:55:17Z","timestamp":1453136117000},"page":"475-484","source":"Crossref","is-referenced-by-count":9,"title":["An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow"],"prefix":"10.1515","volume":"16","author":[{"given":"Siqi","family":"Ling","sequence":"first","affiliation":[{"name":"Department of Mathematics and Center for Advancing Electronics Dresden, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"}]},{"given":"Wieland","family":"Marth","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"}]},{"given":"Simon","family":"Praetorius","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"}]},{"given":"Axel","family":"Voigt","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Center for Advancing Electronics Dresden, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"}]}],"member":"374","published-online":{"date-parts":[[2016,1,16]]},"reference":[{"key":"2023033112444854003_j_cmam-2016-0003_ref_001_w2aab3b7b1b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Aland S., Egerer S., Lowengrub J. and Voigt A.,\nDiffuse interface models of locally inextensible vesicles in a viscous fluid,\nJ. 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