Browsing by Subject "Collocation"
Now showing items 1-5 of 5
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Article
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
(1993)Four and six-element conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on ...
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Article
A conforming spectral technique for biharmonic-type problems in rectangular domains
(1994)A conforming domain decomposition Chebyshev spectral collocation method is developed for the solution of biharmonic-type problems in rectangular domains. Careful selection of the collocation points ensures that the solution ...
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Article
Efficient Trefftz collocation algorithms for elliptic problems in circular domains
(2013)We consider the numerical solution of certain elliptic boundary value problems in disks and annuli using the Trefftz collocation method. In particular we examine boundary value problems for the Laplace, Helmholtz, modified ...
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Article
High performance solution of partial differential equations discretized using a chebyshev spectral collocation method
(1996)When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...
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Article
The plane waves method for axisymmetric Helmholtz problems
(2016)The plane waves method is employed for the solution of Dirichlet and Neumann boundary value problems for the homogeneous Helmholtz equation in two- and three-dimensional domains possessing radial symmetry. The appropriate ...