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MOC
2000
83views more  MOC 2000»
13 years 10 months ago
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
In the approximation of linear elliptic operators in mixed form, it is well known that the so-called inf-sup and ellipticity in the kernel properties are sufficient (and, in a sens...
Daniele Boffi, Franco Brezzi, Lucia Gastaldi
MOC
2000
103views more  MOC 2000»
13 years 10 months ago
An additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Lori Badea, Junping Wang
MOC
2000
69views more  MOC 2000»
13 years 10 months ago
Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions
Lower bounds for the condition numbers of the preconditioned systems are obtained for the Bramble-Pasciak-Schatz substructuring preconditioner and the Neumann-Neumann preconditione...
Susanne C. Brenner, Li-Yeng Sung
MOC
2000
75views more  MOC 2000»
13 years 10 months ago
Multihomogeneous Newton methods
Abstract. We study multihomogeneous analytic functions and a multihomogeneous Newton's method for finding their zeros. We give a convergence result for this iteration and we s...
Jean-Pierre Dedieu, Mike Shub
MOC
2000
113views more  MOC 2000»
13 years 10 months ago
A finite element approximation for a class of degenerate elliptic equations
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 equatio...
Bruno Franchi, Maria Carla Tesi