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Identifier uch.math.phd//1992DIS0127
Title Μέθοδοι Galerkin/πεπερασμένων στοιχείων για προβλήματα με διεπιφάνειες στην υδροακουστική
Alternative Title Galerkin-finite element methods for interface problems in underwater acoustics
Creator Kambanis, Nikos
Contributor ΤΜΗΜΑ ΜΑΘΗΜΑΤΙΚΩΝ
Abstract We consider the standard and wide-angle parabolic equation of underwater acoustics in a horizontally stratified ocean of constant depth with range and depth-dependent acoustic properties. Highly accurate, conservative numerical methods for the approximate solution of both equations are constructed and analysed, based on modified Galerkin methods for the discretization in depth taking into account interface conditions with optimal C2 order of convergence, and on high-order, implicit Runge-Kutta methods of collocation type for the discretization in range. A-priori error estimates and details on the practical implementation of the numerical scheme are presented as well as numerical results from realistic benchmarck problems of underwater acoustics. They indicate that the proposed high-order schemes are more efficient as compared to the classical, low-order finite difference methods so far.
Physical description 266
Language English
Subject ΜΕΘΟΔΟΙ GALERKIN/ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ; ΥΔΡΟΑΚΟΥΣΤΙΚΗ; ΠΡΟΒΛΗΜΑΤΑ ΜΕ ΔΙΕΠΙΦΑΝΕΙΕΣ; ΠΑΡΑΒΟΛΙΚΗ ΕΞΙΣΩΣΗ (ΣΥΝΗΘΗΣ); ΠΑΡΑΒΟΛΙΚΗ ΕΞΙΣΩΣΗ ΕΥΡΕΙΑΣ ΓΩΝΙΑΣ; ΜΕΘΟΔΟΙ RUNGE-KUTTA; GALERKIN-FINITE ELEMENTS METHODS; UNDER WATER ACOUSTICS; INTERFACE PROBLEMS; PARABOLIC EQUATION (STANDARD); WIDE-ANGLE PARABOLIC EQUATIONS; RUNGE-KUTTA METHODS
Issue date 1992-05-01
Date available 1997-06-6
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses
  Type of Work--Doctoral theses
Notes Committee Member ΑΚΡΙΒΗΣ ΓΕΩΡΓΙΟΣ (ΕΕ)
Committee Member ΒΑΒΑΛΗΣ ΕΜΜΑΝΟΥΗΛ (ΕΕ)
Committee Member ΔΟΥΓΑΛΗΣ ΒΑΣΙΛΕΙΟΣ (ΕΕ)
Committee Member ΠΑΠΑΔΑΚΗΣ ΙΩΑΝΝΗΣ (ΕΕ)
Committee Member ΤΑΡΟΥΔΑΚΗΣ ΜΙΧΑΗΛ (ΕΕ)
Number of References 96
ΔΕΝ ΥΠΑΡΧΕΙ ΠΑΡΑΡΤΗΜΑ
ΥΠΑΡΧΕΙ ΕΥΡΕΤΗΡΙΟ
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