• Publications
  • Influence
Two families of mixed finite elements for second order elliptic problems
SummaryTwo families of mixed finite elements, one based on triangles and the other on rectangles, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. Error estimates inL2(Ω)
NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES*
Finite element and finite difference methods are combined with the method of characteristics to treat a parabolic problem of the form $cu_t + bu_x - (au_x )_x = f$. Optimal order error estimates in
Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods
Standard Galerkin methods based on C0-piecewise-polynomial spaces often can lead to unsatisfactory approximations of solutions of problems having dominant transport terms. A penalty on the jump in
Global estimates for mixed methods for second order elliptic equations
Global error estimates in L2(92), L?(9), and H-s(Q), 2 in R2 or a, re derived for a mixed finite element method for the Dirichlet problem for the elliptic operator Lp = div(a grad p + bp) + cp based
Derivation of the double porosity model of single phase flow via homogenization theory
A general form of the double porosity model of single phase flow in a naturally fractured reservoir is derived from homogenization theory. The microscopic model consists of the usual equations
An absolutely stabilized finite element method for the stokes problem
On presente une formulation a elements finis absolument stabilisee pour le probleme de Stokes. On etablit des estimations d'erreurs optimales dans la norme L 2 pour l'approximation des champs de
On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
We present a new, naturally parallelizable, accurate numerical method for the solution of transport-dominated diffusion processes in heterogeneous porous media. For the discretization in time of one
...
1
2
3
4
5
...