Publish In |
International Journal of Advances in Electronics and Computer Science-IJAECS |
Journal Home Volume Issue |
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Issue |
Volume-7,Issue-11 ( Nov, 2020 ) | |||||||||
Paper Title |
Boundary Element Method for 3D Problems of Electromagnetism | |||||||||
Author Name |
Valentin Ivanov | |||||||||
Affilition |
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Pages |
12-20 | |||||||||
Abstract |
Abstract - Numerical algorithms of the boundary problems described by Laplace, Poisson, Helmholtz and Maxwell equations based on the integral representations are described. Combinations of single-layer, double-layer and volume potentials are used to represent the solution. Analytical technique of singularity extraction is used to obtain precision and stable numerical solutions for a potential and its high-order derivatives. The numerous examples of test problems and applications to the precision problems of electron optics, accelerator physics and plasma-beam interaction are demonstrated. The original algorithms can be used for the problems of analysis, optimization and synthesis of physical electronic devices. Decomposition algorithms to solve complex three-dimensional problems are presented. Keywords - Boundary Element Method; integral representation; single-layer potential; double-layer potential; numerical approximation; singularity. | |||||||||
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