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).
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