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Efficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scattering.

机译：应用于声散射的随机有限元方法的有效迭代算法。

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In this study, we describe the algebraic computations required to implement the stochastic finite element method for solving problems in which uncertainty is restricted to right hand side data coming from forcing functions or boundary conditions. We show ...

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作者
D. P. O'Leary H. Elman M. Stewart O. G. Ernst;
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年度 2002
页码 1-21
总页数 21
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Acoustic scattering; Algebra; Algorithms; Boundaries; Computations; Distribution functions; Efficiency; Fem(Finite element method); Finite element analysis; Iterations; Iterative algorithms; Karhunen-loeve expansions; Multigrids; Multiple right hand sides; Scattering; Setting(Adjusting); Solutions(General); Stochastic processes; Uncertainty; Weak formulations;

机译：声学散射;代数;算法;边界;计算;分布函数;效率; Fem（有限元法）;有限元分析;迭代;迭代算法; Karhunen-loeve展开;多重网格;多个右手边;散射;设置（调整） ;解决方案（一般）;随机过程;不确定性;弱配方;

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专利

1. Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering [J] . Howard C. Elman, Oliver G. Ernst, Dianne P. OLeary, Computer Methods in Applied Mechanics and Engineering . 2005,第9a11期

机译：随机有限元方法的有效迭代算法及其在声散射中的应用
2. AN EFFICIENT ITERATION ALGORITHM OF MIXED BOUNDARY/FINITE ELEMENT METHOD AND APPLICATION TO FREE TORSIONAL VIBRATION ANALYSIS OF BODIES OF REVOLUTION [J] . 王秀喜, 陈锋, 钱江应用数学和力学：英文版 . 1990,第012期

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3. An efficient iterative algorithm for the natural convection equations based on finite element method [J] . Lei Wang, Jian Li, Pengzhan Huang International journal of numerical methods for heat & fluid flow . 2018,第3期

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4. Characteristic Basis Finite Element Method (CBFEM) - A Non-iterative Domain Decomposition Finite Element Algorithm for Solving Electromagnetic Scattering Problems [C] . Ozlem Ozgun, Raj Mittra, Mustafa Kuzuoglu IEEE Antennas and Propagation Society International Symposium . 2008

机译：特征基有限元方法（CBFEM） - 一种解决电磁散射问题的非迭代域分解有限元算法
5. Efficient finite element methods/reduced-order modeling for structural acoustics with applications to transduction. [D] . Dodson, John Marshall, II. 2001

机译：用于结构声学的高效有限元方法/降阶建模及其在转导中的应用。
6. The diffusive finite state projection algorithm for efficient simulation of the stochastic reaction-diffusion master equation [O] . Brian Drawert, Michael J. Lawson, Linda Petzold, -1

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7. Stabilized Finite Element Methods with Fast Iterative Solution Algorithms for the Stokes Problem [O] . Zhiqiang Cai, Jim Douglas, Jr., 2000

机译：stokes问题的快速迭代解算法的稳定有限元方法

Efficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scattering.

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