A sparse-grid isogeometric solver

Beck Joakim; Sangalli Giancarlo; Tamellini Lorenzo

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A sparse-grid isogeometric solver

机译：稀疏网格等几何求解器

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摘要

Isogeometric Analysis (IGA) typically adopts tensor-product splines and NURBS as a basis for the approximation of the solution of PDEs. In this work, we investigate to which extent IGA solvers can benefit from the so-called sparse-grids construction in its combination technique form, which was first introduced in the early 90s in the context of the approximation of high-dimensional PDEs.

机译：等几何分析（IGA）通常采用张量积样条和NURBS作为逼近PDE解的基础。在这项工作中，我们研究了IGA求解器可以从其组合技术形式中受益于所谓的稀疏网格构造的程度，该技术在90年代初首次引入高维PDE的背景下首次引入。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2018年第15期|128-151|共24页
作者
Beck Joakim; Sangalli Giancarlo; Tamellini Lorenzo;
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作者单位

KAUST, CEMSE, Thuwal 239556900, Saudi Arabia;

Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy;

Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Isogeometric analysis; B-splines; NURBS; Sparse grids; Combination technique;

机译：等几何分析B样条NURBS稀疏网格组合技术;

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A sparse-grid isogeometric solver

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