On a Semianalytic Method for Solving Laplace's Equation
- Resource Type
- Periodical
- Authors
- Munoz-Yague, Antonio; Leturcq, Philippe
- Source
- IEEE Transactions on Industry Applications IEEE Trans. on Ind. Applicat. Industry Applications, IEEE Transactions on. IA-14(5):458-460 Sep, 1978
- Subject
- Power, Energy and Industry Applications
Signal Processing and Analysis
Fields, Waves and Electromagnetics
Components, Circuits, Devices and Systems
Laplace equations
Boundary conditions
Electrostatic processes
Industry Applications Society
Transactions Committee
Physics
Shape
Temperature distribution
Conductors
Electrodes
- Language
- ISSN
- 0093-9994
1939-9367
The advantages of semianalytic methods for solving Laplace's equation, compared to classical methods, have been pointed out recently. An approach of the former type is proposed here for twodimensional problems. The potential (or other physical quantities depending on the particular problem) is obtained in the form of a finite series: each term of this series corresponds physically to the potential created by a straight line with a uniform charge density. Basically the method consists of considering the required potential distribution to be created by an arrangement of such charged lines. The charge density of each line is then calculated in order to satisfy exactly the boundary conditions at a number of points equal to the number of line sources. the precision of the method depends on the number of sources and their arrangement;it can be very satisfactory with a relatively low number of sources especially in problems involving curve-shaped boundaries or some circular symmetry.