The Use of Quasi-Red and Quasi-Yellow Nonobtuse Refinements in the Solution of 2-D Electromagnetic PDE’s

Jacek Stańdo (), Sergey Korotov (), Marek Rudnicki () and Dorota Krawczyk-Stańdo
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Jacek Stańdo: Technical University of Lodz, Institute of Mathematics
Sergey Korotov: University of Jyväskylä, Dept. of Mathematical Information Technology
Marek Rudnicki: Academy of Humanities and Economics in Lodz, Department of Artificial Intelligence and Informatic Systems
Dorota Krawczyk-Stańdo: Technical University of Lodz, Institute of Mathematics

A chapter in Optimization and Inverse Problems in Electromagnetism, 2003, pp 113-124 from Springer

Abstract: Abstract In the paper, new refinement techniques called “quasi-red” and “quasi-yellow” are applied for the solution of a non-linear Poisson’s equation describing magnetic flux density in 2-D. The equation is solved using the finite element method with non-obtuse triangulation. The goal is to modify initial mesh in some non-standard way to have solely non-obtuse triangles. Usefulness of the method is demonstrated on the problem of optimal shape design of an electromagnet.

Keywords: nonobtuse triangulation; polygonal domain; finite element method; discrete maximum principle; quasi-red and quasi-yellow refinements; grid generation; non-linear Poisson’s equation. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2494-4_13

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DOI: 10.1007/978-94-017-2494-4_13

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