CutFEM: Discretizing geometry and partial differential equations. (29th December 2014)

• Record Type: Journal Article
• Authors: Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André; Dolbow, John; Farhat, Charbel; Harari, Isaac; Lew, Adrian
• Is Part Of: International journal for numerical methods in engineering. Volume 104:Number 7(2015)
• Page Start: 472
• Page End: 501
• Publication Date: 2014-12-29
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4823
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4823-abs-0001"> <title>Summary</title> <p id="nme4823-para-0001">We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex geometries obtained, for example, from computer‐aided design or image data from applied sciences. Both the treatment of boundaries and interfaces and the discretization of PDEs on surfaces are discussed and illustrated numerically. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>