Theoretical and numerical investigation of the finite cell method

Monique Dauge, Alexander Düster (Technische Universität Hamburg-Harburg, Germany), and Ernst Rank (Technische Universität München, Germany).

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 Lame problems in one, two as well 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.

18 mars 2014

Journal of Scientific Computing 65, Issue 3, pp 1039-1064 (2015)
On line DOI: 10.1007/s10915-015-9997-3 (2015).

PDF file    HAL