Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves

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A method is developed to solve Laplace's equation with Dirichlet's or Neumann's conditions in plane, single-connected regions bounded by arbitrary single curves. It is based on the existence of a conformal transformation that reduces the original problem to another whose solution is k...

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Autores principales: Minotti, F., Moreno, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v31_n8_p1914_Minotti
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00222488_v31_n8_p1914_Minotti
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spelling todo:paper_00222488_v31_n8_p1914_Minotti2023-10-03T14:29:35Z Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves Minotti, F. Moreno, C. A method is developed to solve Laplace's equation with Dirichlet's or Neumann's conditions in plane, single-connected regions bounded by arbitrary single curves. It is based on the existence of a conformal transformation that reduces the original problem to another whose solution is known. The main advantage of the method is that it does not require the knowledge of the transformation itself, so it is applicable even when no transformation is available. The solution and its higher-order derivatives are expressed in terms of explicit quadratures easy to evaluate numerically or even analytically. © 1990 American Institute of Physics. Fil:Minotti, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Moreno, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v31_n8_p1914_Minotti
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A method is developed to solve Laplace's equation with Dirichlet's or Neumann's conditions in plane, single-connected regions bounded by arbitrary single curves. It is based on the existence of a conformal transformation that reduces the original problem to another whose solution is known. The main advantage of the method is that it does not require the knowledge of the transformation itself, so it is applicable even when no transformation is available. The solution and its higher-order derivatives are expressed in terms of explicit quadratures easy to evaluate numerically or even analytically. © 1990 American Institute of Physics.
format JOUR
author Minotti, F.
Moreno, C.
spellingShingle Minotti, F.
Moreno, C.
Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
author_facet Minotti, F.
Moreno, C.
author_sort Minotti, F.
title Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
title_short Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
title_full Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
title_fullStr Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
title_full_unstemmed Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves
title_sort solution of laplace's equation in plane single-connected regions bounded by arbitrary single curves
url http://hdl.handle.net/20.500.12110/paper_00222488_v31_n8_p1914_Minotti
work_keys_str_mv AT minottif solutionoflaplacesequationinplanesingleconnectedregionsboundedbyarbitrarysinglecurves
AT morenoc solutionoflaplacesequationinplanesingleconnectedregionsboundedbyarbitrarysinglecurves
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