TUTCRIS - Tampereen teknillinen yliopisto


Inverse problem in electrostatics with free boundary

Aktiviteetti: Konferenssiesitelmä


Jukka-Pekka Humaloja - Speaker

Consider an electrical potential u satisfying Laplace's equation on a plane region with mixed boundary conditions. We are interesting in solving a parametrization for one of the domain's boundary curves based on Cauchy data on the opposite boundary The problem is solved with a variation of alternating field technique on inverted plane. Let v be the harmonic conjugate of u. Then the function u(x, y) + iv(x, y) is analytic and it has an inverse x(u, v) + iy(u, v). The functions x and y satisfy Laplace's equation on a rectangle, and the unknown boundary curve maps to unknown boundary conditions in the rectangle. The unknown boundary conditions are solved using the alternating-field technique.
10 tammikuuta 2014

Tapahtuma (null)

Teoksen nimiFinEst Math 2014, Finnish-Estonian Mathematical Colloquium 2014, 9-10 January, 2014
Ajanjakso1/01/14 → …

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Tutkijaan liittyvää

  1. University of Alberta

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  2. CentraleSupélec, Gif-sur-Yvette

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  3. Univ Alberta, University of Alberta

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  4. 22nd International Symposium on Mathematical Theory of Networks and Systems (Lehti)

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  5. Free Boundary Problem in 3D Geometry

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  6. Bergische Universität Wuppertal

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