♦
P. Knabner and J. E. Roberts,

"Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix
with Darcy-Forchheimer flow in the fracture,"

*Inria Report * (2012). (submitted)
(preprint in pdf)

♦
I. Ben Gharbia, J. Jaffré, N. S. Kumar, and J. E. Roberts,

"Benchmark 3D: a composite hexahedral mixed finite element,"

*Finite Volumes for Complex Applications VI - Problems & Perspectives,*, J. Fort et al. eds.,

Springer Proceedings in Mathematics 4 (2011).
(preprint in pdf)

♦
J. Jaffré, M. Mnejja, and J. E. Roberts,

"A discrete fracture model for two-phase flow with matrix fracture interaction,"

*Procedia Computer Science * 4 (2011) pp 967-973.
(preprint in pdf)

♦
N. Frih, V. Martin, J. E. Roberts , and A. Saada,

"Modeling fractures as interfaces with non matching grids,"

*Inria Report * 7517 (2011). (submitted)
(preprint in pdf)

♦
A. Sboui, J. Jaffré, and J. E. Roberts,

"A composite mixed finite element for hexahedral grids,"

*SIAM Journal on Scientific Computing* 31 (4), (2009), pp 2623-2645.
(pdf)

♦
E. Marchand, F.Clément, J. E. Roberts, and G. Pepin,

"Deterministic sensitivity analysis for a model for flow in porous media,"

*Advances in Water Resources* 31 (8), (2008), pp 1025-1037.
(preprint in pdf)

♦
N. Frih, J. E. Roberts, and A. Saada,

"Modeling fractures as interfaces: a model for Forchheimer fractures,"

*Computational Geosciences* 12 (2008) pp 91-104.
(preprint in pdf)

♦
V. Martin, J. Jaffré, and J. E. Roberts,

"Modeling fractures and barriers as interfaces for flow in porous media,"

*SIAM Journal on Scientific Computing* 26 5 (2005) pp 1667-1691.
(pdf)

♦
J. Niessner, R. Helmig, H. Jakobs, J. E. Roberts,

"Interface condition and linearization schemes in the Newton iterations for two-phase flow
in heterogeneous porous media,"

*Advances in Water Resources* 28 (2005) pp 671-687.

♦
C. Alboin, J. Jaffré, P. Joly, J. E. Roberts and C. Serres,

"A comparison of methods for calculating the matrix block source
term in a double porosity model for contaminant transport,"

*Computational Geosciences* 6 (2002) pp 523-543.
(preprint in pdf)

♦
C. Alboin, J. Jaffré, J. E. Roberts, and C. Serres,

"Modeling fractures as interfaces for flow and transport in porous media,"

in *Fluid Flow and Transport in Porous Media : Mathematical and Numerical Treatment*, Z. Chen and R.E. Ewing eds.,

Contemporary Mathematics 295 AMS (2002) pp 13-24.
( preprint in pdf)

♦
C. Alboin, J. Jaffré, J. E. Roberts, X. Wang and C. Serres,

"Domain Decomposition For Some Transmission Problems in Flow in Porous Media,"

in *Numerical Treatment of Multiphase Flows in Porous Media*, Z. Chen, R.E. Ewing and Z.-C. Shi eds.,

Springer Verlag (2002) pp 22-34.
(preprint in pdf)

♦
G. Chavent, J. Jaffré, and J. E. Roberts,

"Generalized cell-centered finite volume methods : application to two-phase flow in porous media,"

in *Computational Science for the 21st Century*,
M.-O. Bristeau, G. Etgen, W. Fittzgibbon, J.-L. Lions, J. Périaux and M.-F. Wheeler eds.,

John Wiley, Chichester, England (1997) pp 231-241.
( preprint in pdf)

♦
G. Cohen, P. Joly, J. E. Roberts, and N. Tordjman

"Higher order triangular finite elements with mass lumping for the wave equation,"

*SIAM Journal on Numerical Analysis* 38 (6) (2001) pp 2047-2078.
( pdf)

♦
G. Chavent, K. Kunisch, and J. E. Roberts

"Primal-dual formulation for parameter estimation problems,"

*Computational and Applied Mathematics* 18 (2) (1999) pp 173-229.
(preprint in pdf)

♦
C. Poirier, P. Joly, J. E. Roberts, and P. Trouvé

"A new nonconforming finite element method for the computation of electromagnetic guided waves (I)
mathematical analysis,"

*SIAM Journal on Numerical Analysis* 33 (4) (1996) pp 1494-1525.
( pdf)

♦
J. Douglas, P.-J. S. Paes-Leme, J. E. Roberts, and J. Wang

"A parallel iterative procedure applicable to the approximate solution
of second order partial differential equations by mixed finite element methods,"

*Numer. Math* 56 (1993) pp 95-108.
(pdf)

♦
J. Douglas, J. L. Hensley, and J. E. Roberts

"An alternating-direction iteration method for Helmholz problems,"

*Applications of Mathematics* 38 (1993) pp 289-300.
(preprint in pdf)

♦
P. Joly and J. E. Roberts

"Approximation of the surface impedance for a stratified medium,"

in *Wave Propagation and Inversion*, W. E. Fitzgibbon and M. F. Wheeler, eds.,

SIAM (1992) pp 56-87.

♦
B. Despres, P.Joly, and J. E. Roberts

"A domain decomposition method for the harmonic Maxwell equations,"

in *Iterative Methods in Linear Algebra*, R. Beauwens and P. de Groen, eds.,

Elsevier Science Publishers B.V. (North-Holland) (1992) pp 475-484.

♦
J. E. Roberts and J.-M. Thomas

"Mixed and hybrid methods,"

in *Handbook of Numerical Analysis 2, Finite Element Methods - part 1*, P. G. Ciarlet and J. L. Lions, eds.,

Elsevier Science Publishers B.V. (North-Holland) (1991) pp 523-639.

♦
G. Chavent and J. E. Roberts

"A unified physical presentation of mixed, mixed-hybrid finite elements
and usual finite differences for the determination of velocities in waterflow problems,"

*Advances in Water Resources* 14 (1991) pp 329-348.
(preprint in pdf)

♦
A. Bamberger, P. Joly and J. E. Roberts

"Second order absorbing boundary conditions for the wave equation: a solution for the corner problem,"

*SIAM Journal on Numerical Analysis* 27 (1990) pp 323-352.
(pdf)

♦
J.-P. Hennart, J. Jaffré and J. E. Roberts

"A constructive method for deriving finite elements of nodal type,"

*Numer. Math.* 53 (1988) pp 701-738.
(preprint in pdf)

♦
A. Bamberger, B. Chalindar, P. Joly, J. E. Roberts, and J.-L. Teron

"Absorbing boundary conditions for Rayleigh waves,"

*SIAM J. Stat. Sci. Comp.* 9 (1988) pp 1016-1049.
(pdf)

♦
J. Jaffré and J. E. Roberts

"Upstream weighting and mixed finite elements in the simulation of miscible displacements,"

*M2AN* 19 (1985) pp 443-460.

♦
J. Douglas, Jr. and J. E. Roberts

"Global estimates for mixed methods for second order eliptic equations,"

*Mathematics of Computation* 44 (1985) pp 39-52.
(pdf)

♦
J. Douglas, Jr. and J. E. Roberts

"Numerical methods for a model for compressible miscible displacement in porous media,"

*Mathematics of Computation* 41 (1983) pp 441-459.
(pdf)

♦
J. Douglas, Jr. and J. E. Roberts

"Mixed finite element methods for second order eliptic problems,"

*Mat. Applic. Comp*. 1 (1982) pp 91-103.
(pdf)

♦J. E. Roberts

"Some Borsuk-Ulam type theorems,"

in *Geometric Topology*, J.C. Cantrele, ed.,

Academic Press (1979) pp 693-698.

♦
J. E. Roberts

"A stronger Borsuk-Ulam type theorem for proper Zp-actions on mod p homology n-spheres,"

*Proceedings of the AMS* 72 (1978) pp 381-386.
(pdf)