Bounding the influence of domain parameterization and knot spacing on numerical stability in Isogeometric Analysis
作者： Elisabeth Pilgerstorfer , Bert Jüttler
DOI: 10.1016/J.CMA.2013.09.019
关键词:
摘要: Abstract Isogeometric Analysis (IGA) was introduced by Hughes et al. (2005) [1] as a new method to bridge the gap between geometry description and numerical analysis. Similar finite element approach, IGA concept solve partial differential equation leads (linear) system of equations. The condition number coefficient matrix is crucial factor for stability system. It depends strongly on domain parameterization, which provides isogeometric discretization. In this paper we derive bound stiffness Poisson equation. particular, investigate influence parameterization knot spacing factors appearing in our reflect properties given parameterization.
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