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Solution of the Transmission Problem

Solution of the Transmission Problem The solution of the following transmission problem for the Laplace equation is constructed: Δu +=0 in G +, Δu −=0 in G −, u +−u −=f in ∂ G +, n⋅(∇ u +−a ∇ u −)+b τ⋅(∇ u +−∇ u −)+h + u ++h − u −=g in ∂ G +. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Solution of the Transmission Problem

Acta Applicandae Mathematicae , Volume 110 (3) – Jun 6, 2009

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-009-9522-5
Publisher site
See Article on Publisher Site

Abstract

The solution of the following transmission problem for the Laplace equation is constructed: Δu +=0 in G +, Δu −=0 in G −, u +−u −=f in ∂ G +, n⋅(∇ u +−a ∇ u −)+b τ⋅(∇ u +−∇ u −)+h + u ++h − u −=g in ∂ G +.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jun 6, 2009

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