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Full-Text Articles in Logic and Foundations of Mathematics
Spatial Relations Between Conscious And Unconscious Thought, John Shannon Hendrix
Spatial Relations Between Conscious And Unconscious Thought, John Shannon Hendrix
Architecture, Art, and Historic Preservation Faculty Publications
No abstract provided.
Numerical Solution Of The Helmholtz Equation For The Superellipsoid Via The Galerkin Method For The Dirichlet Problem, Yajni Warnapala, Hy Dinh
Numerical Solution Of The Helmholtz Equation For The Superellipsoid Via The Galerkin Method For The Dirichlet Problem, Yajni Warnapala, Hy Dinh
Arts & Sciences Faculty Publications
The objective of this work was to find the numerical solution of the Dirichlet problem for the Helmholtz equation fora smooth superellipsoid. The superellipsoid is a shape that is controlled by two parameters. There are some numerical issues in this type of an analysis; any integration method is affected by the wave number k, because of the oscillatory behavior of the fundamental solution. In this case we could only obtain good numerical results for super ellipsoids that were more shaped like super cones, which is a narrow range of super ellipsoids. The formula for these shapes was: x = cos …
Solving The Helmholtz Equation For The Neumann Boundary Condition For The Pseudosphere By The Galerkin Method, Jane Pleskunas
Solving The Helmholtz Equation For The Neumann Boundary Condition For The Pseudosphere By The Galerkin Method, Jane Pleskunas
Mathematics Theses
In this paper, the Helmholtz equation for the exterior Neumann boundary condition for the pseudosphere in three dimensions using the global Galerkin method is studied. The Galerkin method will be used to solve Jones’ modified integral equation approach (modified as a series of radiating waves will be added to the fundamental solution) for the Neumann problem for the Helmholtz equation, which uses a series of double sums to approximate the integral. A Fortran 77 program is used and some required subroutines from the Naval Warfare Center are called to help increase ouraccuracy since these boundary integrals are difficult to solve. …