粘弹性型方程的H1-Galerkin混合有限元法

2009 IITA International Conference on Control, Automation and Systems Engineering (case 2009) Pub Date : 2009-07-11 DOI:10.1109/CASE.2009.40

Hai-tao Che, Mei-xia Li

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引用次数: 0

摘要

本文提出了一种H1-Galerkin混合有限元法来模拟粘弹性型方程。这个问题分别是在n维(n≥4)空间中考虑的。建立了最优误差估计。特别是，我们的方法可以同时有效地逼近未知标量和矢量通量，而不需要LBB一致性条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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H1-Galerkin Mixed Finite Element Method for the Viscoelasticity Type Equation

In this paper, an H1-Galerkin mixed finite element method is proposed to simulate the viscoelasticity type equation. The problem is considered in n-dimentional (n-dimentional (n≪4) space, respective. The optimal error estimates are also established. In particular, our methods can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition.

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2009 IITA International Conference on Control, Automation and Systems Engineering (case 2009)

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