Last edited by Samulkree
Friday, July 31, 2020 | History

3 edition of Block method for solving the Laplace equation and for constructing conformal mappings found in the catalog.

Block method for solving the Laplace equation and for constructing conformal mappings

by E. A. Volkov

  • 234 Want to read
  • 20 Currently reading

Published by CRC Press in Boca Raton, Fla .
Written in English

    Subjects:
  • Conformal mapping.,
  • Harmonic functions.

  • Edition Notes

    Includes bibliographical references (p. 220-224) and index.

    StatementE.A. Volkov.
    Classifications
    LC ClassificationsQA360 .V65 1994
    The Physical Object
    Paginationx, 227 p. ;
    Number of Pages227
    ID Numbers
    Open LibraryOL1085233M
    ISBN 100849394066
    LC Control Number94009091

    Get this from a library! Block method for solving the Laplace equation and for constructing conformal mappings. [E A Volkov] -- "This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated. Schaum's Outlines: Complex Variables (With an Introduction to Conformal Mapping and Its Applications) by Spiegel,Murray and a great Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings. Volkov, Evgenii A. Published by Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings.

    Feb 24,  · The hexagonal grid version of the block-grid method, which is a difference-analytical method, has been applied for the solution of Laplace’s equation with Dirichlet boundary conditions, in a special type of polygon with corner thebindyagency.com by: 2. Study Guide for Lecture 3: Conformal Mappings. Chalkboard Photos, Reading Assignments, and Exercises ()Solutions (PDF - MB)To complete the reading assignments, see the Supplementary Notes in the Study Materials section.

    Nov 13,  · Illustrates the solution of a standard inhomgeneous, second-order, constant-coefficient ode using the Laplace transform method. Free books: http://bookboon.c. conformal map is then applied to the lter, transforming the region into a rectangle in the uvplane. A nite di erence method is introduced to numerically solve Laplace’s equation in the rectangular domain. There are currently methods in existence to solve partial di eren-tial equations on non-regular domains.


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Block method for solving the Laplace equation and for constructing conformal mappings by E. A. Volkov Download PDF EPUB FB2

Jul 28,  · This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and variational-difference thebindyagency.com by: 8.

Approximate Block Method for Solving the Laplace Equation on Polygons. Setting up a Mixed Boundary Value Problem for the Laplace Equation on a Polygon.

A Finite Covering of a Polygon by Blocks of Three Types. Representation of the Solution of a Boundary Value Problem on Blocks. Read "Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings" by Evgenii A.

Volkov available from Rakuten Kobo. This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon Brand: CRC Press. This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon.

This method, called the approximate block method, overcomes indicated. This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon.

This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and variational-difference methods. Apr 28,  · Block method for solving the Laplace equation and for constructing conformal mappings 1 edition By E.

Volkov Block method for solving the Laplace equation and for constructing con. Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings 1st Edition by Evgenii A. Volkov and Publisher routledge. Save up to 80% by choosing the eTextbook option for ISBN:The print version.

complex change of variables, producing a conformal mapping that preserves (signed) an-gles in the Euclidean plane. Conformal mappings can be effectively used for constructing solutions to the Laplace equation on complicated planar domains that appear in a wide range of physical problems, including fluid mechanics, aerodynamics, thermomechanics.

change of variables, producing a conformal mapping that preserves (signed) angles in the Euclidean plane. Conformal mappings can be effectively used for constructing solutions to the Laplace equation on complicated planar domains that are used in fluid mechanics, aerodynamics, thermomechanics, electrostatics, elasticity, and elsewhere.

In this paper, the harmonic functions of Laplace's equations are derived explicitly for the Dirichlet and the Neumann boundary conditions on the boundary of a sector. Those harmonic functions are more explicit than those of Volkov [Volkov EA, Block method for solving the Laplace equation and for constructing conformal thebindyagency.com by: Ch.

Approximate Block Method for Solving the Laplace Equation on Polygons. Setting up a Mixed Boundary-Value Problem for the Laplace Equation on a Polygon. A Finite Covering of a Polygon by Blocks of Three Types.

Representation of the Solution of a Boundary-Value Problem on Blocks. An Algebraic Problem. The Main Result. Conformal mapping solution of Laplace’s equation on a polygon with oblique The method is illustrated by application to a Hall effect problem in electronics, and to a reflected Brownian motion problem motivated by queueing theory.

Keywor& Laplace equation, conformal mapping, Schwarz-Christoffel map, oblique derivative, Hall effect. Getting the field mapping is possible by solving the Laplace equation. However, these differential equations are rather complex solution, and in most practical cases, only have a numerical solution.

Some works have been produced, using optimized processes applied in conformal mappings, intending to simplify certain electromagnetic problems Cited by: The real characteristics of the block-grid method for solving Laplace's equation on polygons with a slit are analysed by experimental investigations.

The numerical results obtained show that the order of convergence of the approximate solution is the same as in the case of a smooth thebindyagency.com: S. Cival Buranay. Those harmonic functions are more explicit than those of Volkov [Volkov EA, Block method for solving the Laplace equation and for constructing conformal mappings.

Abstract In this paper, the harmonic functions of Laplace's equations are derived explicitly for the Dirichlet and the Neumann boundary conditions on the boundary of a sector. Those harmonic functions are more explicit than those of Volkov [Volkov EA, Block method for solving the Laplace equation and for constructing conformal mappings.

Boca Raton: CRC Press; ], and easier to expose the. Laplace's equation in 3D with slightly complicated rectilinear boundaries. (Think of solving a harmonic function over a 3D boundary which is a cube but with a sub-cube "bitten" out of one corner.) Laplace's equation is still valid under conformal transformations, so for example in 2D I.

Jun 15,  · Using the method of this paper, a mathematical model for the exact solution of the Poisson equation is derived. Since these equations have many applications in engineering problems, in each part of this paper, examples, like water seepage problem through the soil and torsion of prismatic bars, are thebindyagency.com: S.

Mirhosseini, H. Rahami, A. Kaveh. A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities Volkov, E.A.: Block method for solving the Laplace equation and constructing conformal mappings. CRC Cival Buranay S.

() A fourth order accurate difference-analytical method for solving Laplace’s boundary value Cited by: An exponentially converging method for solving Laplace's equation on polygons. Math. USSR Sb. v37 i3. Google Scholar [19]. Volkov, E.A., Block Method for Solving the Laplace Equation and Constructing Conformal Mappings.

E.A., Experimental investigation of the block method for the Laplace equation on polygons. Comput. Math Cited by: 2. In this paper, the harmonic functions of Laplace’s equations are derived explicitly for the Dirichlet and the Neumann boundary conditions on the boundary of a sector.

Those harmonic functions are more explicit than those of Volkov [Volkov EA, Block method for solving the Laplace equation and for constructing conformal mappings.Click to read more about Block method for solving the Laplace equation and for constructing conformal mappings by E. A. Volkov. LibraryThing is a cataloging and social networking site for booklovers All about Block method for solving the Laplace equation and for constructing conformal mappings by E.

A. thebindyagency.com: E. A. Volkov.One-block method for computing the generalized stress intensity factors for Laplace’s equation on a square with a slit and on an L-shaped domain Author links open overlay panel A.A.

Dosiyev S.C. BuranayCited by: 2.