We consider Lagrange interpolation involving trigonometric polynomials of degree ≦N in one space direction, and piecewise polynomials over a finite element decomposition of mesh size ≦h in the other space directions. We provide error estimates in non-isotropic Sobolev norms, depending additively on the parameters h and N. An application to the convergence analysis of an elliptic problem, with some numerical results, is given. © 1982 Springer-Verlag.
Analysis of the combined finite element and Fourier interpolation
QUARTERONI, ALFIO MARIA
1982-01-01
Abstract
We consider Lagrange interpolation involving trigonometric polynomials of degree ≦N in one space direction, and piecewise polynomials over a finite element decomposition of mesh size ≦h in the other space directions. We provide error estimates in non-isotropic Sobolev norms, depending additively on the parameters h and N. An application to the convergence analysis of an elliptic problem, with some numerical results, is given. © 1982 Springer-Verlag.File in questo prodotto:
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