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On Decomposition Methods and Variational Formulation for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Two-Dimensional Second Order Elliptic Equations

机译：二维二阶椭圆方程的Bitsadze-Samarskii非局部边值问题的分解方法和变分公式

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Bitsadze-Samarskii nonlocal boundary value problem for two-dimensional second order elliptic equations is considered. The domain and operator decomposition methods are given. Variational formulation for Poisson's equation is done.

机译：考虑二维二阶椭圆型方程的Bitsadze-Samarskii非局部边值问题。给出了域和算子分解方法。泊松方程的变分公式已经完成。

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来源
《Recent Researches in Applied Mathematics》|2010年|p.116-121|共6页
会议地点 Athens(GR);Athens(GR)
作者
TEMUR JANGVELADZE; ZURAB KIGURADZE; GIORGI LOBJANIDZE;
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作者单位

Ilia Vekua Inst. Applied Mathematics Iv. Javakhishvili Tbilisi State University 2 University St., 0186, Tbilisi GEORGIA;

Iv. Javakhishvili Tbilisi State University Dep. Exact and Natural Sciences 2 University St., 0186, Tbilisi GEORGIA;

Ilia Vekua Inst. Applied Mathematics 2 University St., 0186, Tbilisi GEORGIA;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
bitsadze-samarskii nonlocal boundary value problem; domain decomposition; operator decomposi- tion; variational formulation;

机译：bitsadze-samarskii非局部边值问题；域分解；操作员分解；变式;

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专利

1. Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation [J] . TemurJangveladze, ZurabKiguradze, GeorgeLobjanidze International Journal of Partial Differential Equations . 2014,第Suppla1期

机译：泊松二维方程的Bitsadze-Samarskii非局部边值问题的变分陈述和域分解算法
2. On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness [J] . Ashyralyev A., Ozturk E. Applied mathematics and computation . 2012,第3期

机译：椭圆型微分方程和差分方程的Bitsadze-Samarskii型非局部边值问题：适定性
3. Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions [J] . Pao C. V., Wang Yuan-Ming Journal of Computational and Applied Mathematics . 2016,第Null期

机译：具有非局部边界条件的四阶椭圆方程的数值方法
4. On Variational Formulation and Domain Decomposition Method for Bitsadze-Samarskii Nonlocal Boundary Value Problem [C] . TEMUR JANGVELADZE, ZURAB KIGURADZE, GIORGI LOBJANIDZE International Conference on Applied, Numerical and Computational Mathematics . 2013

机译：关于比例分解和域分解方法的比例 - 萨姆斯基非本地边值问题
5. Analysis of Nonlocal Equations: One-sided Weighted Fractional Sobolev Spaces and Harnack Inequality for Fractional Nondivergence Form Elliptic Equations [D] . ?Vaughan, Mary Colleen 2020

机译：非局部方程分析：片面加权分数索伯列夫空间和哈纳克不等式分数非散度型方程
6. VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER [O] . Felix E. Browder 1963

机译：任意阶拟线性椭圆型方程的变分边值问题
7. Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation [O] . Temur Jangveladze, Zurab Kiguradze, George Lobjanidze 2014

机译：泊松二维等式的Bitsadze-Samarskii非局部边值问题的变分语句和域分解算法
8. Shape Identification Technique for a Two-Dimensional Elliptic System by Boundary Integral Equation Method [R] . Kojima, F. 1989

机译：基于边界积分方程法的二维椭圆系统形状识别技术

On Decomposition Methods and Variational Formulation for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Two-Dimensional Second Order Elliptic Equations

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