Theoretical and Numerical Investigation of the Finite Cell Method
نویسندگان
چکیده
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 three dimensions. Several numerical examples in one and two dimensions including a wellknown benchmark problem from linear elasticity confirm the results of the mathematical analysis of the finite cell method.
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ورودعنوان ژورنال:
- J. Sci. Comput.
دوره 65 شماره
صفحات -
تاریخ انتشار 2015