Complementary methods for scattering by thin barriers.


D.V. Evans & R. Porter, 1997, Chapter 1 of "Mathematical Techniques for Water Waves", Ed. B.N. Mandal, Computational Mechanics Publications, Southampton.



Three distinct problems in classical water wave theory are considered. It is shown how, by using complementary formulations coupled with a Galerkin approximation based on physical properties of the solution, extremely accurate estimates for the reflection and transmission properties due to scattering of an incident plane wave can be found in each case.

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