Parameterization of computational domain in isogeometric analysis: Methods and comparison

Parameterization of computational domain plays an important role in isogeometric analysis as mesh generation in finite element analysis. In this paper, we investigate this problem in the 2D case, i.e., how to parametrize the computational domains by planar B-spline surface from the given CAD objects...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 200; no. 23; pp. 2021 - 2031
Main Authors:	Xu, Gang, Mourrain, Bernard, Duvigneau, Régis, Galligo, André
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.06.2011 Elsevier
Subjects:	A posteriori error estimation Applied sciences Artificial intelligence Computation Computer aided design Computer science; control theory; systems Constraint optimization method Error analysis Exact sciences and technology Exact solutions Finite element method Injectivity of B-spline parameterization Isogeometric analysis Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Numerical approximation Optimization Parametrization Pattern recognition. Digital image processing. Computational geometry r-Refinement Sciences and techniques of general use Software Isogeometric analysis Constraint optimization method A posteriori error estimation r-Refinement Injectivity of B-spline parameterization B spline Error analysis Constraint Refinement Constraint satisfaction Parameterization Automatic mesh generation Modeling Spline approximation Numerical approximation Finite element method Non uniform rational B spline Computer aided design Uniformity Mesh generation Mathematical programming Minimization Second derivative Constrained optimization Computational geometry Injectivity Control point Quadratic function
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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