Dauge, MoniqueMoniqueDaugeDüster, AlexanderAlexanderDüsterRank, ErnstErnstRank2020-09-152020-09-152015-03-05Journal of Scientific Computing 3 (65): 1039-1064 (2015-03-05)http://hdl.handle.net/11420/7320We 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.en0885-74742015310391064Adaptive quadratureFinite cell methodFinite element methodp-version ofJournal Article10.1007/s10915-015-9997-3Other