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

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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/669767
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact