A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains
DOI: 10.1007/978-3-319-71431-8_3
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摘要: We consider a new fictitious domain approach of higher order accuracy. To implement Dirichlet conditions we apply the classical Nitsche method combined with facet-based stabilization (ghost penalty). Both techniques are isoparametric finite element space which is based on special mesh transformation. The transformation build upon accurate level set representation and allows to reduce problem numerical integration problems domains described by piecewise linear functions. combination this strategy for stabilized formulation results in an robust method. introduce analyze it give examples.
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