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Hypersingular integral equations on curved boundaries

1995
According to the Babuska plate paradox it is impossible to approximate a circular hinged plate by a polygonal one, [1], and to expect at the same time that the solution converges to the exact solution. Therefore an exact representation of the circular boundary is required.
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A hypersingular integral equation for the floating body problem

Applicable Analysis, 2000
A new boundary integral equation formulation for the floating body problem, which is defined on a bounded domain and includes a hypersingular and a nonlocal part, is proved to satisfy a Garding inequality. Under the assunlption of uniqueness it is shown, that an approximating sequence of related semidiscrete integral operators is uniformly bounded ...
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The hypersingular single integral equation and the dielectric wedge

IEEE Antennas and Propagation Society International Symposium 1992 Digest, 1992
The fields scattered by a finite dielectric wedge are computed, and the results obtained by using two different integral equations are compared. The unknown boundary function is either the jump eta in the normal derivative of the auxiliary field across the boundary or the jump phi in the field itself.
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Hypersingular Integral Equations and Their Applications

2003
I.K. Lifanov   +2 more
openaire   +1 more source

Approximate Methods for Solving Hypersingular Integral Equations on Fractals

Springer Proceedings in Complexity, 2022
Alla Boykova   +2 more
exaly  

Hypersingular integral equations of the first kind: A modified homotopy perturbation method and its application to vibration and active control

Journal of Low Frequency Noise Vibration and Active Control, 2019
Mohammad Ali Fariborzi Araghi
exaly  

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