isogeometric analysis (IGA)
A New Error Assessment Method in Isogeometric Analysis of 2D Heat Conduction Problems
... The isogeometric analysis (IGA for short) method proposed by Hughes et ...the analysis solution on the exact geometry (not a discrete geometry), obtain a more accurate solution (high-order ...
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Pigasus : Python for IsoGeometric AnalysiS and Unified Simulations.
... The IsoGeometric Analysis has been introduced by Hughes et al [32], in order to bring a common framework between CAD (Computer Aided Design) and Numerical ...and analysis, the geometry is maintained ...
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First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis
... Therefore, it represents only a part of the full tensor-product surface yet no explicit parametric representation is available. In this paper we are interested in applying numerical integration on a trimmed surface ...
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Parametrization of computational domain in isogeometric analysis: methods and comparison
... of analysis-aware modeling, in which the parameters of CAD models should be selected to facilitate isogeometric ...optimal analysis- aware parameterization of computational domain is proposed based ...
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Efficient Matrix Assembly in Isogeometric Analysis with Hierarchical B-splines
... formation; Isogeometric analysis; Hierarchical B-splines; Quasi-interpolation, look-up and sum-factorization; Computational cost ...and analysis pipeline, isoge- ometric analysis (IgA) [16, ...
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Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis
... of analysis-aware modeling, in which the parameters of CAD models should be selected to facilitate isogeometric ...optimal analysis-aware parameterization of computational domain for 3D IGA problems ...
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Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation
... Johannes Kepler University, Linz, Austria 3 MPI for Mathematics in the Sciences, Leipzig, Germany Abstract. It has been observed that the task of matrix assembly in Isogeometric Analysis (IGA) is more ...
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Design of Self-Supporting Surfaces with Isogeometric Analysis
... nonlinear isogeometric analysis (IGA) ...network analysis and dynamic relaxation, the proposed method ben- efits from the advantages of NURBS-based IGA, featuring smooth geometric description, good ...
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Convergence rates with singular parameterizations for solving elliptic boundary value problems in isogeometric analysis
... problems, isogeometric analysis 1. Introduction Isogeometric analysis (IGA) [1] is a numerical method to solve geometric partial differential ...
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Optimal analysis-aware parameterization of computational domain in isogeometric analysis
... on isogeometric analysis can be classi- fied into three categories: (1) application of IGA to various simulation problems [2,5,6,10,14,18,20,27,28]; (2) application of various geometric modeling tools to IGA ...
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Overlapping Multi-Patch Structures in Isogeometric Analysis
... b Institute of Applied Geometry, Johannes Kepler University Linz, Altenberger Straße 69, A-4040 Linz, Austria c INRIA Sophia Antipolis, 2004 Route des Lucioles, 06902 Sophia Antipolis cedex, France Abstract In ...
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H1-parametrizations of complex planar physical domains in Isogeometric analysis
... linear system is always large. It is better to use iterative solvers to reduce the com- putational costs. A smaller condition number means a rapid convergence and a more accurate linear system solution. However, this ...
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An Introduction to Isogeometric Analysis with Application to Thermal Conduction
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Abstract: In this report, we present a new method, namely isogeometric analysis, proposed by ...
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THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
... Abstract Local refinement with hierarchical B-spline structures is an active topic of research in the context of geometric modeling and isogeometric analysis. By exploiting a multilevel control structure, ...
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Isogeometric analysis for compressible flows using a Discontinuous Galerkin method
... so-called isogeometric analy- sis approach ten years ago, which targeted the seamless integration of Finite- Element (FE) methods and CAD representations ...performance analysis for optimization without ...
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A generalized finite element formulation for arbitrary basis functions : from isogeometric analysis to XFEM
... the analysis, resulting in a formulation that can be implemented within the traditional structure of a finite element program but that permits the use of arbitrary sets of basis functions that are defined only ...
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Mesh Grading in Isogeometric Analysis
... stephen.moore@ricam.oeaw.ac.at ioannis.toulopoulos@oeaw.ac.at Abstract. This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by ...
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Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
... of isogeometric analysis are important for the ...in isogeometric integrals typically involve coefficients of a PDE and the partial derivatives of the geometry map, all defined globally on a patch ...
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Shape Gradient Computation in Isogeometric Analysis for Linear Elasticity
... Compared to standard finite elements, the m × m stiffness matrix K is less sparse in general, which is due to the larger support of the NURBS. The entries of the stiffness matrix and also those of the force vector F ∈ R ...
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X-FEM in isogeometric analysis for linear fracture mechanics
... X-FEM; isogeometric analysis; NURBS; linear fracture mechanics ...structural analysis due to the singularity at the crack tip, and the propagation of a crack adds the challenge of modifying a ...
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