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Mathematics of Computation

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A finite element approximation for a class of
degenerate elliptic equations

Authors: Bruno Franchi and Maria Carla Tesi
Journal: Math. Comp. 69 (2000), 41-63
MSC (1991): Primary 46E30, 49N60
Published electronically: February 19, 1999
MathSciNet review: 1642821
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Abstract: In this paper we exhibit a finite element method fitting a suitable geometry naturally associated with a class of degenerate elliptic equations (usually called Grushin type equations) in a plane region, and we discuss the related error estimates.

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Additional Information

Bruno Franchi
Affiliation: Dipartimento Matematico dell’Università, Piazza di Porta S. Donato, 5, 40127 Bologna, Italy

Maria Carla Tesi
Affiliation: Université de Paris-Sud, Mathématiques, Bât. 425, 91405 Orsay Cedex, France

Received by editor(s): June 28, 1996
Received by editor(s) in revised form: September 8, 1997, and March 31, 1998
Published electronically: February 19, 1999
Additional Notes: The first author is partially supported by M.U.R.S.T., Italy (40%) and by G.N.A.F.A. of C.N.R., Italy (60%).
The authors are indebted to A. Valli for many fruitful discussions.
Article copyright: © Copyright 1999 American Mathematical Society