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A finite element approximation for a class of degenerate elliptic equations
Author(s):
Bruno
Franchi;
Maria
Carla
Tesi.
Journal:
Math. Comp.
69
(2000),
41-63.
MSC (1991):
Primary 46E30, 49N60
Posted:
February 19, 1999
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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
Email:
franchib@dm.unibo.it
Maria
Carla
Tesi
Affiliation:
Université de Paris-Sud, Mathématiques, Bât. 425, 91405 Orsay Cedex, France
Email:
Maria-Carla.Tesi@math.u-psud.fr
DOI:
10.1090/S0025-5718-99-01075-3
PII:
S 0025-5718(99)01075-3
Received by editor(s):
June 28, 1996
Received by editor(s) in revised form:
September 8, 1997 and March 31, 1998
Posted:
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.
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Copyright
1999,
American Mathematical Society
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