Journal ArticleDOI
Modelling of progressive short waves using wave envelopes
Edmund Chadwick,Peter Bettess +1 more
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This article is published in International Journal for Numerical Methods in Engineering.The article was published on 1997-09-15. It has received 24 citations till now. The article focuses on the topics: Mechanical wave & Wave propagation.read more
Citations
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Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments
Wei Zeng,Gui-Rong Liu +1 more
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
Journal ArticleDOI
Element-Free Galerkin solutions for Helmholtz problems: fomulation and numerical assessment of the pollution effect
Ph. Bouillard,S. Suleaub +1 more
TL;DR: In this article, the Element-Free Galerkin Method (EFGM) is examined in its application to acoustic wave propagation addressed by the Helmholtz equation, and numerical tests on two-dimensional problems focus on the parameters governing the EFGM.
Journal ArticleDOI
Modelling of short wave diffraction problems using approximating systems of plane waves
TL;DR: In this article, a finite element model for the solution of Helmholtz problems at higher frequencies is described, which offers the possibility of computing many wavelengths in a single finite element.
Journal ArticleDOI
Short wave modelling using special finite elements
Omar Laghrouche,Peter Bettess +1 more
TL;DR: In this article, the authors developed finite elements capable of containing many wavelengths and therefore simulating problems with large wave numbers without refining the mesh to satisfy the traditional requirement of about ten nodal points per wavelength.
Journal ArticleDOI
Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
TL;DR: In this article, the wave boundary elements have been found to have a requirement to use only around 2.5 degrees of freedom per wavelength, instead of the 8-10 degrees of free space required by conventional direct collocation elements, extending the supported frequency range for any given computational resources by a factor of three for 2D problems, or by a Factor of 10-15 for 3D problems.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Geometrical Theory of Diffraction
TL;DR: The mathematical justification of the theory on the basis of electromagnetic theory is described, and the applicability of this theory, or a modification of it, to other branches of physics is explained.
Wave forces on piles: a diffraction theory
R. C. MacCamy,R. A. Fuchs +1 more
TL;DR: In this paper, a quantitative understanding of the forces developed by wave action against circular piling is presented, where the authors focus on the effect of wave action on circular piling and show that wave action is a powerful force against piling.
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Diffraction and refraction of surface waves using finite and infinite elements
Peter Bettess,O. C. Zienkiewicz +1 more
TL;DR: In this article, the wave problem is introduced and a derivation of Berkhoff's surface wave theory is outlined, and appropriate boundary conditions are described, for finite and infinite boundaries.
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The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more