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MOC
2000
83views more  MOC 2000»
13 years 5 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
JSCIC
2010
113views more  JSCIC 2010»
13 years 1 days ago
Numerical Analysis of Nonlinear Eigenvalue Problems
We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form -div(Au) + ...
Eric Cancès, Rachida Chakir, Yvon Maday
SIAMSC
2011
110views more  SIAMSC 2011»
13 years 6 days ago
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements...
Omar Lakkis, Tristan Pryer
SIAMNUM
2010
103views more  SIAMNUM 2010»
13 years 13 hour ago
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
Abstract. We introduce hybridization and postprocessing techniques for the RaviartThomas approximation of second-order elliptic eigenvalue problems. Hybridization reduces the Ravia...
Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li,...
SIAMNUM
2010
137views more  SIAMNUM 2010»
13 years 13 hour ago
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
In this paper we develop an a posteriori error analysis of a new conforming mixed finite element method for the coupling of fluid flow with porous media flow. The flows are govern...
Ivo Babuska, Gabriel N. Gatica