Non-coercive transmission problems in polygonal domains. -- Probl\`emes de transmission non coercifs dans des polygones
Monique Dauge (IRMAR), Benjamin Texier (IMJ)
TL;DR
This paper extends Kondratev's corner domain theory to scalar transmission problems in polygons, showing it applies when the contrast ratio between materials is not -1.
Contribution
The work generalizes Kondratev's theory to scalar transmission problems in polygonal domains with specific contrast ratio conditions.
Findings
Theory applies when contrast ratio ≠ -1
Extends corner domain analysis to transmission problems
Provides conditions for the applicability of Kondratev's theory
Abstract
We show that Kondratev's theory for corner domains can be extended to scalar transmission problems between two polygonal materials if the contrast ratio between the two materials is different from -1.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Numerical methods in inverse problems · Mathematical Analysis and Transform Methods