|Publisher DOI:||10.1007/s10915-015-9997-3||Title:||Theoretical and Numerical Investigation of the Finite Cell Method||Language:||English||Authors:||Dauge, Monique
|Keywords:||Adaptive quadrature;Finite cell method;Finite element method;p-version of||Issue Date:||5-Mar-2015||Source:||Journal of Scientific Computing 3 (65): 1039-1064 (2015-03-05)||Journal or Series Name:||Journal of scientific computing||Abstract (english):||We present a detailed analysis of the convergence properties of the finite cell method which is a fictitious domain approach based on high order finite elements. It is proved that exponential type of convergence can be obtained by the finite cell method for Laplace and Lamé problems in one, two as well as three dimensions. Several numerical examples in one and two dimensions including a well-known benchmark problem from linear elasticity confirm the results of the mathematical analysis of the finite cell method.||URI:||http://hdl.handle.net/11420/7320||ISSN:||0885-7474||Institute:||Konstruktion und Festigkeit von Schiffen M-10||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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