Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6916519 | Computer Methods in Applied Mechanics and Engineering | 2016 | 18 Pages |
Abstract
We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An unfitted finite element method which is suitable for the case of piecewise planar interfaces is combined with a parametric mapping of the underlying mesh resulting in an isoparametric unfitted finite element method. The parametric mapping is constructed in a way such that the quality of the piecewise planar interface reconstruction is significantly improved allowing for high order accurate computations of (unfitted) domain and surface integrals. We present the method, discuss implementational aspects and present numerical examples which demonstrate the quality and potential of this method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Christoph Lehrenfeld,