Numerical Solution of a Nonsmooth Elliptic Equation

机译：一个非光滑椭圆方程的数值解

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In this paper, we study the numerical solution of a nonsmooth elliptic equation. Some error estimates are presented for the piecewise linear finite element approximation. A cascadic multigrid algorithms is proposed to solve the finite element problem. Numerical experiments are reported.

机译：在本文中，我们研究了非光滑椭圆方程的数值解。提出了一些误差估计，用于分段线性有限元逼近。提出了一种级联的多重网格算法来解决有限元问题。报告了数值实验。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|142|共1页
会议地点 Shanghai(CN)
作者
Jin-Ping Zeng; Hai-Xiong Yu;
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作者单位

College of Computer, Dongguan University of Technology,Dongguan, Guangdong, China;

College of Mathematics and Econometrics, Hunan University Changsha, Hunan, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Finite element method; Nonsmooth equation; Error estimate; Multigrid algorithm;

机译：有限元法；非光滑方程；误差估计；多重网格算法;

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专利

1. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
2. Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [J] . Proceedings Mathematical Sciences . 2006,第2期

机译：具有更高特征值的非光滑势和共振椭圆方程的非平凡解的多重性
3. Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [J] . LESZEK GASINSKI, DUMITRU MOTREANU, NIKOLAOS S PAPAGEORGIOU Proceedings of the Indian Academy of Sciences. Mathematical Sciences . 2006,第2期

机译：具有更高特征值的非光滑势和共振椭圆方程的非平凡解的多重性
4. Numerical Solution of a Nonsmooth Elliptic Equation [C] . Jin-Ping Zeng, Hai-Xiong Yu International conference on optimization: Techniques and Applications . 2010

机译：非椭圆型方程的数值解
5. Numerical solution of integral equations with nonsmooth kernel and applications. [D] . Kang, Sheon Young. 2000

机译：具有非光滑核的积分方程的数值解及其应用。
6. A numerical technique for linear elliptic partial differential equations in polygonal domains [O] . P. Hashemzadeh, A. S. Fokas, S. A. Smitheman -1

机译：多边形域中线性椭圆型偏微分方程的数值技术
7. A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution [O] . Abdalkhani J. 1990

机译：用非光滑解求解第二类Abel积分方程的数值方法
8. The Boundary Integral Equation Method for the Numerical Solution of Boundary Value Problems Governed by Second Order Elliptic Equations. [R] . Schulock, M. L. 1978

机译：二阶椭圆型方程边值问题数值解的边界积分方程方法。

Numerical Solution of a Nonsmooth Elliptic Equation

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