A collocation scheme is proposed, on the basis of the Chebyshev nodes, for the approximation of elliptic problems with Dirichlet-Neumann boundary conditions, deriving from a suitable variational formulation in weighted Sobolev spaces.
Variational formulation for the Chebyshev pseudospectral approximation of Neumann problems / Funaro, Daniele. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - 27:3(1990), pp. 695-703. [10.1137/0727041]
Variational formulation for the Chebyshev pseudospectral approximation of Neumann problems
Funaro Daniele
1990
Abstract
A collocation scheme is proposed, on the basis of the Chebyshev nodes, for the approximation of elliptic problems with Dirichlet-Neumann boundary conditions, deriving from a suitable variational formulation in weighted Sobolev spaces.
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