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Titel:

Higher Order Finite Elements on Sparse Grids

Dokumenttyp:
Technical Report
Autor(en):
H.-J. Bungartz
Abstract:
We present a general technique to construct hierarchical bases of higher order suitable for sparse grid methods without increasing the number of degrees of freedom. For the solution of elliptic partial differential equations, this approach allows us to profit both from the efficiency of sparse grid discretizations and from the advantages of higher order basis functions with regard to their approximation accuracy. We report the results of some first numerical experiments concerning piecewise biqu...     »
Stichworte:
partial differential equations; finite element method; hierarchical bases; sparse grids; higher order techniques
Jahr:
1995
Jahr / Monat:
1995-02-00 00:00:00
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