Use of Galerkin Technique in Some Water Wave Scattering Problems Involving Plane Vertical Barriers

DOI10.1007/978-3-319-99918-0_13zbMath1423.76258OpenAlexW2955143705MaRDI QIDQ5239065

Soumen De, Birendranath Mandel

Publication date: 21 October 2019

Published in: Applied Mathematical Analysis: Theory, Methods, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-99918-0_13

zbMATH Keywords

linear theoryreflection and transmission coefficientsGalerkin approximationsfirst kind integral equationsoblique scattering

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Oblique water wave scattering by two unequal vertical barriers
• A variational approach to an unsymmetric water-wave scattering problem
• Water wave scattering by a pair of thin vertical barriers with submerged gaps
• The diffraction of an obliquely incident surface wave by a submerged plane barrier
• Propagation of obliquely incident water waves over a trench
• A note on the diffraction of an obliquely incident surface wave by a partially immersed fixed vertical barrier
• Solution of Two Singular Integral Equations Arising in Water Wave Problems
• The scattering of an obliquely incident surface wave by a submerged fixed vertical plate
• Scattering of Water Waves by Two Surface-piercing Vertical Barriers
• Interaction of water waves with two closely spaced vertical obstacles
• Scattering of water waves by a submerged thin vertical wall with a gap
• The Effect of a Fixed Vertical Barrier on Obliquely Incident Surface Waves in Deep Water
• Complementary approximations to wave scattering by vertical barriers
• Scattering of water waves by a vertical wall with gaps
• Diffraction of water waves by a submerged vertical plate
• Complementary Approximations to the Solution of a Problem in Water Waves
• Reflection and transmission from porous structures under oblique wave attack
• Oblique diffraction of surface waves by a submerged vertical plate
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