Publications

 ♦ 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)