An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes
作者： Erik Burman , Miguel A. Fernández
DOI: 10.1016/J.CMA.2014.07.007
关键词: Polygon mesh 、 Stability (learning theory) 、 Space (mathematics) 、 Mathematics 、 Fictitious domain method 、 Fluid–structure interaction 、 Topology 、 Applied mathematics 、 Discretization 、 Structure (category theory) 、 Intersection
摘要: We consider the extension of Nitsche method to case fluid-structure interaction problems on unfitted meshes. give a stability analysis for space semi-discretized problem and show how this estimate may be used derive optimal error estimates smooth solutions, irrespectively mesh/interface intersection. also discuss different strategies time discretization, using either fully implicit or explicit coupling (loosely coupled) schemes. Some numerical examples illustrate theoretical discussion.
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