An isogeometric analysis for elliptic homogenization problems

DOI10.1016/j.camwa.2014.01.001zbMath1362.65128arXiv1305.1084OpenAlexW2008955800MaRDI QIDQ2397193

Yanyan Li

Publication date: 30 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1084

zbMATH Keywords

homogenizationNURBSisogeometric analysis (IGA)heterogeneous multiscale methodIGA-HMM

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Adaptive isogeometric topology optimization using PHT splines ⋮ Efficient Matlab implementation of NURBS-based IGA and material design using isogeometric topology optimization ⋮ NURBS curves with the application of multiple bones fracture reconstruction ⋮ Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ The hole-filling method and the multiscale computation for the wave equations in perforated domains ⋮ An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals

Uses Software

• ISOGAT

Cites Work

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• Analysis of the heterogeneous multiscale method for elliptic homogenization problems
• Isogeometric Analysis
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

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