منابع مشابه
On Galerkin Methods for the Wide–angle Parabolic Equation
We consider the third–order, wide–angle, parabolic approximation of underwater acoustics in a medium with depth– and range–dependent speed of sound in the presence of dissipation and horizontal interfaces. We first discuss the theory of existence and uniqueness of solutions to the problem and derive an energy estimate. We then discretize the problem in the depth variable using two types of Gale...
متن کاملFinite Difference Methods for the Wide-angle ‘parabolic’ Equation
We consider a model initial and boundary value problem for the wide-angle ‘parabolic’ equation Lur = icu of underwater acoustics, where L is a second-order differential operator in the depth variable z with depthand range-dependent coefficients. We discretize the problem by the Crank–Nicolson finite difference scheme and also by the forward Euler method using nonuniform partitions both in depth...
متن کاملError Estimates for Finite Element Methods for a Wide–angle Parabolic Equation
We consider a model initial– and boundary–value problem for the third– order wide–angle parabolic approximation of underwater acoustics with depth– and range–dependent coefficients. We discretize the problem in the depth variable by the standard Galerkin finite element method and prove optimal–order L–error estimates for the ensuing continuous–in–range semidiscrete approximation. The associated...
متن کاملError Estimates for Finite Difference Methods for a Wide-angle ‘parabolic’ Equation
We consider a model initialand boundary-value problem for a third-order p.d.e., a wide-angle ‘parabolic’ equation frequently used in underwater acoustics, with depthand rangedependent coefficients in the presence of horizontal interfaces and dissipation. After commenting on the existence–uniqueness theory of solution of the equation, we discretize the problem by a secondorder finite difference ...
متن کاملComparison of angle decomposition methods for wave-equation migration
Angle domain common image gathers offer advantages for subsurface image analysis in complex media. We compare two angle decomposition methods using extended images and wave propagation directions based on Poynting vectors of the source and receiver wavefields. We evaluate the ability of each method to produce accurate and efficient angle gathers for wave-equation migration in the presence of mu...
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ژورنال
عنوان ژورنال: Coastal Engineering Proceedings
سال: 1986
ISSN: 2156-1028,0589-087X
DOI: 10.9753/icce.v20.32