Rate-of-convergence bounds of the grid method for the axisymmetric Dirichlet problem in spherical geometry

V. L. Makarov; A. I. Ryzhenko

doi:10.1007/bf01098599

Rate-of-convergence bounds of the grid method for the axisymmetric Dirichlet problem in spherical geometry

Journal of Soviet Mathematics ◽

10.1007/bf01098599 ◽

1993 ◽

Vol 66 (2) ◽

pp. 2156-2158

Author(s):

V. L. Makarov ◽

A. I. Ryzhenko

Keyword(s):

Dirichlet Problem ◽

Rate Of Convergence ◽

Spherical Geometry ◽

Grid Method

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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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 1

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped

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Compatible rate-of-convergence bounds for the grid method in the eigenvalue problem for the Helmholtz equation in a right triangle

Journal of Soviet Mathematics ◽

10.1007/bf01098601 ◽

1993 ◽

Vol 66 (2) ◽

pp. 2165-2171

Author(s):

Yu. I. Rybak

Keyword(s):

Eigenvalue Problem ◽

Helmholtz Equation ◽

Rate Of Convergence ◽

Grid Method

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Rate-of-convergence bounds of a finite-difference approximation of the Dirichlet problem for the Helmholtz equation with a coefficient from the “negative” space

Journal of Mathematical Sciences ◽

10.1007/bf02111950 ◽

1994 ◽

Vol 71 (4) ◽

pp. 2531-2538

Author(s):

S. A. Voitsekhovskii ◽

V. L. Makarov ◽

Yu. I. Rybak

Keyword(s):

Dirichlet Problem ◽

Finite Difference ◽

Helmholtz Equation ◽

Rate Of Convergence ◽

Finite Difference Approximation ◽

Difference Approximation ◽

Negative Space

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The rate of convergence of a multiple grid method

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0094171 ◽

1980 ◽

pp. 164-184 ◽

Cited By ~ 10

Author(s):

P. Wesseling

Keyword(s):

Rate Of Convergence ◽

Grid Method

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On the finite element method for the biharmonic dirichlet problem in polygonal domains; quasi-optimal rate of convergence

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167475 ◽

2005 ◽

Vol 22 (1) ◽

pp. 45-56 ◽

Cited By ~ 2

Author(s):

Akira Mizutani

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dirichlet Problem ◽

Rate Of Convergence ◽

Optimal Rate ◽

The Finite Element Method ◽

Polygonal Domains ◽

Optimal Rate Of Convergence ◽

Element Method ◽

Biharmonic Dirichlet Problem

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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) ◽

Cited By ~ 8

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped ◽

Derivatives Of

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A probabilistic method for the rate of convergence to the Dirichlet problem

Pacific Journal of Mathematics ◽

10.2140/pjm.1972.42.657 ◽

1972 ◽

Vol 42 (3) ◽

pp. 657-665

Author(s):

David Fraser

Keyword(s):

Dirichlet Problem ◽

Rate Of Convergence ◽

Probabilistic Method

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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 ◽

Class C

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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) ◽

Cited By ~ 2

Author(s):

E. A. Volkov

Keyword(s):

Dirichlet Problem ◽

Laplace Equation ◽

Grid Method ◽

Rectangular Parallelepiped

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