Artículo
Minotti, F.; Moreno, C. "Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves" (1990) Journal of Mathematical Physics. 31(8):1914-1918
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves |
| Autor: | Minotti, F.; Moreno, C. |
| Filiación: | Consejo Nacional de Investigaciones Científicas y Técnicas Laboratorio de Física del Plasma, Facultad de Ciencias Exactas y Naturales, Pab. I, 1428 Buenos Aires, Argentina |
| Año: | 1990 |
| Volumen: | 31 |
| Número: | 8 |
| Página de inicio: | 1914 |
| Página de fin: | 1918 |
| DOI: | http://dx.doi.org/10.1063/1.528690 |
| Título revista: | Journal of Mathematical Physics |
| ISSN: | 00222488 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v31_n8_p1914_Minotti.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v31_n8_p1914_Minotti |
Referencias:
- Morse, P.M., Feshbach, H., (1953) Methods of Theoretical Physics, , (McGraw‐Hill, New York)
- Weinberger, H.F., (1965) Introduction to Partial Differential Equations with Methods of Complex Variables and Integral Transforms, , (Blaisdell, New York)
- Jeans, J.H., (1958) Mathematical Theory of Electricity and Magnetism, , (Cambridge U.P, Cambridge), 5th ed
- Menikoff, R., Zemach, C., (1980) J. Comput. Phys., 36, p. 366
- Meiron, D.I., Orszag, S.A., Israeli, M., (1981) J. Comput. Phys., 40, p. 345
- Hostens, R., De Mey, G., (1978) Comput. Phys. Commun., 16, p. 5
- Kober, H., (1957) Dictionary of Conformal Representations, , (Dover, New York)
- Sneddon, I.N., (1972) The Use of Integral Transforms, , (McGraw‐Hill, New York)
Citas:
---------- APA ----------
Minotti, F. & Moreno, C. (1990) . Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves. Journal of Mathematical Physics, 31(8), 1914-1918.http://dx.doi.org/10.1063/1.528690
---------- CHICAGO ----------
Minotti, F., Moreno, C. "Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves" . Journal of Mathematical Physics 31, no. 8 (1990) : 1914-1918.http://dx.doi.org/10.1063/1.528690
---------- MLA ----------
Minotti, F., Moreno, C. "Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves" . Journal of Mathematical Physics, vol. 31, no. 8, 1990, pp. 1914-1918.http://dx.doi.org/10.1063/1.528690
---------- VANCOUVER ----------
Minotti, F., Moreno, C. Solution of Laplace's equation in plane single-connected regions bounded by arbitrary single curves. 1990;31(8):1914-1918.http://dx.doi.org/10.1063/1.528690
