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Combination approach of domain-type and boundary-type meshless methods for solving hybrid boundary-value problem of homogeneous and inhomogeneous elliptic PDEs

机译：域类型和边界类型无网格方法的组合方法，用于求解均质和非均质椭圆形偏微分方程的混合边值问题

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摘要

The combination approach of the domain-type and the boundary-type meshless methods has been applied to the hybrid boundary-value problem composed of the homogeneous and the inhomogeneous elliptic partial differential equations. In addition, the performance of the proposed method has been investigated numerically. The results of computations show that the accuracy of the proposed method is higher than the combination approach of the FEM and the BEM.

机译：领域类型和边界类型的无网格方法的组合方法已经应用于由齐次和非齐次椭圆偏微分方程组成的混合边值问题。另外，对所提出方法的性能进行了数值研究。计算结果表明，所提方法的精度高于有限元法与边界元法相结合的方法。

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来源
《Biennial IEEE Conference on Electromagnetic Field Computation》|2016年|1-1|共1页
会议地点 Miami(US)
作者
Ayumu Saitoh; Teruou Takayama; Atsushi Kamitani;
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作者单位

Graduate School of Science and Engineering Yamagata University Yonezawa 992-8510 Japan;

Department of Informatics Yamagata University Yonezawa 992-8510 Japan;

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关键词
Nonhomogeneous media; Partial differential equations; Finite element analysis; Boundary value problems; Informatics; Indexes;

机译：非均匀介质；偏微分方程；有限元分析;边值问题；信息学指标;

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2. Solving potential problems by a boundary-type meshless method-the boundary point method based on BIE [J] . Hang Ma, Qing-Hua Qin Engineering analysis with boundary elements . 2007,第9期

机译：边界型无网格法-基于BIE的边界点法求解潜在问题
3. Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs [J] . Liu Yang, Cheng Ai-Jie Computers & mathematics with applications . 2021,第Jana15期

机译：椭圆PDE管理的两种无芯片边界最佳控制问题的无网格方法
4. Combination approach of domain-type and boundary-type meshless methods for solving hybrid boundary-value problem of homogeneous and inhomogeneous elliptic PDEs [C] . Ayumu Saitoh, Teruou Takayama, Atsushi Kamitani Biennial IEEE Conference on Electromagnetic Field Computation . 2016

机译：域型和边界型无网格方法的组合方法，用于求解均匀和不均匀椭圆PDE的混合边值问题
5. Numerical methods for solving linear elliptic PDEs: Direct solvers and high order accurate discretizations [D] . Hao, Sijia 2015

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6. Classification of stable solutions for non-homogeneous higher-order elliptic PDEs [O] . Abdellaziz Harrabi, Belgacem Rahal, Mohamed Karim Hamdani -1

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7. An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems [O] . Bourantas, Georgios, Skouras, Eugene, Loukopoulos, Vasilios, 2009

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8. MIXED-HYBRID FINITE ELEMENT APPROXIMATIONS OF SECOND-ORDER ELLIPTIC BOUNDARY-VALUE PROBLEMS Ⅱ WEAK-HYBRID METHODS [R] . I. Babuska, J. T. Oden, J. K. Lee 1977

机译：二阶椭圆边值问题的混合 - 混合有限元逼近Ⅱ弱混合方法

Combination approach of domain-type and boundary-type meshless methods for solving hybrid boundary-value problem of homogeneous and inhomogeneous elliptic PDEs

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