Modified combined grid method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510020090 ◽

2010 ◽

Vol 50 (2) ◽

pp. 274-284 ◽

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped

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On a combined grid method for solving the Dirichlet problem for the Laplace equation in a rectangular parallelepiped

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507040094 ◽

2007 ◽

Vol 47 (4) ◽

pp. 638-643 ◽

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped

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On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/1569398041126500 ◽

2004 ◽

Vol 19 (3) ◽

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped ◽

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On the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped by the grid method

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2001-0606 ◽

2001 ◽

Vol 16 (6) ◽

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped

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A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509030117 ◽

2009 ◽

Vol 49 (3) ◽

pp. 496-501 ◽

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Difference Method ◽

Rectangular Parallelepiped ◽

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An approximate method of solving the Dirichlet problem for the Laplace equation in a rectangular parallelepiped

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(65)90049-2 ◽

1965 ◽

Vol 5 (2) ◽

pp. 246-249

Author(s):

Ya.M. Zhileikin

Keyword(s):

Dirichlet Problem ◽

Approximate Method ◽

Laplace Equation ◽

Rectangular Parallelepiped

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On the grid method for solving the Dirichlet problem for the Laplace equation in a cylinder with lateral surface of class C 1,1

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.2000.15.6.521 ◽

2000 ◽

Vol 15 (6) ◽

Author(s):

E.A. VOLKOV

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Lateral Surface ◽

Grid Method ◽

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Representation of solution of the Dirichlet problem for the Laplace equation in the form of a generalized convolution

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2018.1533003 ◽

2018 ◽

Vol 64 (5) ◽

pp. 816-824 ◽

Author(s):

Tynysbek Sh. Kal'menov ◽

Gaukhar D. Arepova

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Generalized Convolution

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The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface

Numerical Algorithms ◽

10.1007/s11075-008-9201-z ◽

2008 ◽

Vol 49 (1-4) ◽

pp. 299-313 ◽

Author(s):

Pierpaolo Natalini ◽

Roberto Patrizi ◽

Paolo E. Ricci

Keyword(s):

Dirichlet Problem ◽

Riemann Surface ◽

Laplace Equation ◽

Starlike Domain

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Dirichlet problem for the generalized Laplace equation with the Caputo derivative

Differential Equations ◽

10.1134/s0012266112030184 ◽

2012 ◽

Vol 48 (3) ◽

pp. 449-454 ◽

Author(s):

O. Kh. Masaeva

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Caputo Derivative ◽

Generalized Laplace Equation

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Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation

Integral Methods in Science and Engineering ◽

10.1007/978-0-8176-8238-5_30 ◽

2011 ◽

pp. 327-338

Author(s):

S. Pomeranz

Keyword(s):

Dirichlet Problem ◽

Boundary Element Method ◽

Boundary Element ◽

Error Estimation ◽

Laplace Equation ◽

Richardson Extrapolation ◽

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