Approaches to mixed Dirichlet-Neumann boundary condition in the method of separation of variables

机译：变量分离法中混合狄利克雷-诺伊曼边界条件的方法

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Three methods of taking into account the mixed Dirichlet and Neumann boundary condition in the method of separation of variables were considered: the collocation, the series expansion and series subtraction. Determining the coefficients in the solution series requires solving a linear system of algebraic equations. The most acceptable results are obtained for the collocation method, which is also the simplest one.

机译：在变量分离方法中考虑了三种考虑混合Dirichlet和Neumann边界条件的方法：配置，级数展开和级数减法。确定解序列中的系数需要求解代数方程的线性系统。配置方法获得了最可接受的结果，这也是最简单的方法。

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来源
《2019 Applications of Electromagnetics in Modern Engineering and Medicine》|2019年|60-62|共3页
会议地点 Janow Podlaski(PL)
作者
Paweł Jabłoński;
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作者单位

Faculty of Electrical Engineering, Częstochowa University of Technology, Częstochowa, Poland;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Electrodes; Boundary conditions; Electric potential; Mathematical model; Electromagnetics; Oscillators; Current density;

机译：电极;边界条件;电势;数学模型;电磁学;振荡器;电流密度;;

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1. Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions [J] . Dolej?í Vít, Feistauer Miloslav, Havle Oto Applications of mathematics . 2010,第5期

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2. DISCONTINUOUS GALERKIN METHOD FOR NONLINEAR CONVECTION-DIFFUSION PROBLEMS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS [J] . Oto Havle, Vft Dolejsi, Miloslav Feistauer Applications of Mathematics . 2010,第5期

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3. Regularization of Moving Boundaries in a Laplacian Field by a Mixed Dirichlet-Neumann Boundary Condition: Exact Results [J] . Bernard Meulenbroek, Ute Ebert, Lothar Schaefer Physical review letters . 2005,第19期

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4. Approaches to mixed Dirichlet-Neumann boundary condition in the method of separation of variables [C] . Pawe? Jab?oński Applications of Electromagnetics in Modern Engineering and Medicine Conference . 2019

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5. Weak Galerkin Finite Element Method with Mixed Boundary Conditions [D] . Hussain, Saqib 2018

机译：弱Galerkin有限元方法与混合边界条件
6. Modeling mixed boundary conditions in a Hilbert space with the complex variable boundary element method (CVBEM) [O] . Anthony N. Johnson, T.V. Hromadka II 2015

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7. Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions [O] . Havle, Oto, Dolejší, Vít, Feistauer, Miloslav 2010

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Approaches to mixed Dirichlet-Neumann boundary condition in the method of separation of variables

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