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Two families of mixed finite elements for second order elliptic problems

- F. Brezzi, J. Douglas, L. D. Marini
- Mathematics
- 1 June 1985

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)… Expand

On the numerical solution of heat conduction problems in two and three space variables

- J. Douglas, H. H. Rachford
- Mathematics
- 1 February 1956

NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES*

- J. Douglas, T. F. Russell
- Mathematics
- 1 October 1982

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… Expand

Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods

- J. Douglas, T. Dupont
- Physics
- 1976

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… Expand

Global estimates for mixed methods for second order elliptic equations

- J. Douglas, Jean E. Roberts
- Mathematics
- 1985

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… Expand

Derivation of the double porosity model of single phase flow via homogenization theory

- T. Arbogast, J. Douglas, U. Hornung
- Mathematics
- 1 May 1990

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… Expand

A general formulation of alternating direction methods

- J. Douglas, J. Gunn
- Mathematics
- 1 December 1964

An absolutely stabilized finite element method for the stokes problem

- J. Douglas, J. Wang
- Mathematics
- 1 May 1989

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… Expand

On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs

- J. Douglas, F. Furtado, F. Pereira
- Mathematics
- 1 August 1997

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… Expand

Numerical methods for forward-backward stochastic differential equations

- J. Douglas, J. Ma, P. Protter
- Mathematics
- 1 August 1996

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