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

In: Optimization and Inverse Problems in Electromagnetism

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jacek Stańdo & Sergey Korotov & Marek Rudnicki & Dorota Krawczyk-Stańdo, 2003. "The Use of Quasi-Red and Quasi-Yellow Nonobtuse Refinements in the Solution of 2-D Electromagnetic PDE’s," Springer Books, in: Marek Rudnicki & Sławomir Wiak (ed.), Optimization and Inverse Problems in Electromagnetism, pages 113-124, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2494-4_13
    DOI: 10.1007/978-94-017-2494-4_13
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