A comparison of localized finite element formulations for two‐dimensional wave diffraction and radiation problems
Copyright policy )A comparison of localized finite element formulations for two‐dimensional wave diffraction and radiation problems
AbstractTwo of the most promising localized finite element methods are compared: the boundary series element method, in which a series of eigenfunctions is used to represent the far field solution; and the boundary integral element method, in which an integral equation is satisfied at the boundary between localized finite element and outer regions. The methods are applied to water of arbitrary depth. The theory of the two methods is summarized, and typical numerical results are discussed. Consideration is given to the well‐known hydrodynamical reciprocal relations, and to the phenomenon of ‘irregular’ frequencies. The relative merits of the two methods are established.
- University College London United Kingdom
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, reciprocal relations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical methods for integral equations, localized finite element formulations, diffraction and radiation problems, arbitrary depth, two-dimensional, comparison, Scattering theory for PDEs, irregular frequencies, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, boundary integral element method, boundary series element method
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, reciprocal relations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical methods for integral equations, localized finite element formulations, diffraction and radiation problems, arbitrary depth, two-dimensional, comparison, Scattering theory for PDEs, irregular frequencies, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, boundary integral element method, boundary series element method
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