Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up

Pan Maodong; Juettler Bert; Giust Alessro

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Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up

机译：通过通过插值和查找，通过集成快速形成异诊室内伽利士矩阵

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《Computer Methods in Applied Mechanics and Engineering》 |2020年第jul1期|113005.1-113005.25|共25页
作者
Pan Maodong; Juettler Bert; Giust Alessro;
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作者单位

Johannes Kepler Univ Linz Inst Appl Geometry Linz Austria;

Johannes Kepler Univ Linz Inst Appl Geometry Linz Austria|Johannes Kepler Univ Linz Doctoral Program Computat Math Linz Austria;

Johannes Kepler Univ Linz Doctoral Program Computat Math Linz Austria;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
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正文语种 eng
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1. Fast formation of isogeometric Galerkin matrices by weighted quadrature [J] . Calabro F., Sangalli G., Tani M. Computer Methods in Applied Mechanics and Engineering . 2017,第APRa1期

机译：通过加权求积快速形成等几何Galerkin矩阵
2. Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations [J] . Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods . 2020,第1期

机译：使用有限元和异常离散化的3D固体层压复合材料的快速组装Galerkin矩阵
3. Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity [J] . Hiemstra Rene R., Sangalli Giancarlo, Tani Mattia, Computer Methods in Applied Mechanics and Engineering . 2019,第Octa1期

机译：快速形成和组装有限元矩阵及其在等几何线弹性中的应用
4. A Stable Discontinuous Galerkin Based Isogeometric Residual Minimization for the Stokes Problem [C] . Marcin Los, Sergio Rojas, Maciej Paszynski, International Conference on Computational Science . 2020

机译：Stokes问题的基于稳定间断Galerkin的等几何残差最小化
5. GENERALIZATIONS OF TOEPLITZ AND HANKEL MATRICES AND THEIR ASSOCIATED INTERPOLATION AND APPROXIMATION PROBLEMS (TRENCH FORMULA, ORTHOGONAL POLYNOMIALS, FAST ALGORITHMS). [D] . SHARP, DANIEL WILLIAM. 1986

机译：Toeplitz和Hankel矩阵的广义化及其相关的插值和逼近问题（沟槽公式，正交多项式，快速算法）。
6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

机译：基于移动克里格插值的无网格局部Petrov-Galerkin方法求解时间分数Navier-Stokes方程
7. Integration by Interpolation and Look-up for Galerkin-based Isogeometric Analysis [O] . Mantzaflaris, Angelos, Jüttler, Bert 2014

机译：通过插值和查找进行积分，用于基于Galerkin的等几何分析
8. Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations (Preprint). [R] . Schillinger, D., Evans, J. A., Reali, A., 2013

机译：等距配置：与Galerkin方法的成本比较和自适应分层NURBs离散的扩展（预印本）。

Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up

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