Partial tensor decomposition for decoupling isogeometric Galerkin discretizations
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Publication:1985521
DOI10.1016/j.cma.2018.03.026zbMath1440.65231OpenAlexW2791306541MaRDI QIDQ1985521
Bert Jüttler, Felix Scholz, Angelos Mantzaflaris
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-02271800/file/Partialtensordecomp3d.pdf
numerical integrationsingular value decompositiontensor decompositionlow-rank approximationisogeometric analysismatrix assembly
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (14)
A very brief introduction to nonnegative tensors from the geometric viewpoint ⋮ A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties ⋮ Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up ⋮ On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems ⋮ High‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulation ⋮ A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis ⋮ Efficient matrix assembly in isogeometric analysis with hierarchical B-splines ⋮ Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation ⋮ A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis ⋮ Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension ⋮ Bivariate Hermite interpolation by a limiting case of the cross approximation algorithm ⋮ Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients ⋮ Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries ⋮ Fast and multiscale formation of isogeometric matrices of microstructured geometric models
Uses Software
Cites Work
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