Parabolic approximation of nonlocal boundary conditions for elastic seabeds

DOI10.1080/00036810108840915zbMath1163.76410OpenAlexW1851119450WikidataQ58255563 ScholiaQ58255563MaRDI QIDQ4411587

G. N. Makrakis

Publication date: 9 July 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840915

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Waves in solid mechanics (74J99)

Cites Work

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• Uniform high-frequency approximations of the square root Helmholtz operator symbol
• A METHOD FOR THE TREATMENT OF A SLOPING SEA BOTTOM IN THE PARABOLIC APPROXIMATION
• Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation
• Derivation and application of extended parabolic wave theories. II. Path integral representations
• Numerical solutions of the parabolic wave equation: An ordinary-differential-equation approach
• On a boundary value problem for Schrödinger's equation
• The connection between the solutions of the Helmholtz equation and those of Schrödinger type equations

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