PUBLICATIONS

Refereed Journals Books Refereed Proceedings Journals of Popular Science

Refereed Journals

[21] H. Barucq, R. Djellouli, and A. G. Saint-Guirons, three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries, Journal of Computational and Applied Mathematics, (In Press). (Saint-Guirons was a Ph.D. student at the time of authorship)

[20] M. Amara, R. Djellouli, and C. Farhat, Convergence analysis of a discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of Helmholtz problems, SIAM Journal on Numerical Analysis 47, (2009), pp. 1038--1066.

[19] H. Barucq, R. Djellouli, and A. G. Saint-Guirons, Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries, Applied Numerical Mathematics 59, (2009), pp. 1467-1498. (Saint-Guirons was a Ph.D. student at the time of authorship)

[18] P. Ryan, R. Djellouli, and R. Cohen, Modeling capsule tissue growth around disk-shaped implants: A numerical and in vivo study, Journal of Mathematical Biology 57, (2008), pp. 675--695. (Ryan was CSUN graduate student at the time of authorship).

[17] R. Reiner, R. Djellouli, and I. Harari, Analytical and Numerical investigation of the performance of theBGT2 condition for low frequency acoustic scattering problems, Journal of Computational and Applied Mathematics, 204 (2), (2007), pp. 526--535. (Reiner was CSUN student and then became Ph.D. student at the University of Michigan, Ann-Arbor, at the time of authorship)
 
[16] A. Gillman, R. Djellouli, and M. Amara, A Mixed Hybrid Formulation Based on Oscillated Finite Element Polynomials for Solving Helmholtz Problems, Journal of Computational and Applied Mathematics 204, (2007), pp. 515--525. (Gillman was CSUN graduate student at the time of authorship)
 
[15] R. Reiner and R. Djellouli, Improvement of the performance of the BGT2 condition for low frequency acoustic scattering problems, Journal of Wave Motion 43, (2006), pp. 406--424. (Reiner was CSUN graduate student at the time of authorship)
 
[14] R. Reiner, R. Djellouli, and I. Harari, The performance of local absorbing boundary conditions for acoustic scattering from elliptical shapes, Computer Methods in Applied Mechanics and Engineering 195, (2006), pp. 3622--3665. (Reiner was CSUN graduate student at the time of authorship)

 [13] I. Harari and R. Djellouli, Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering, Applied Numerical Mathematics 50, (2004), pp. 15--47.

[12] H. Barucq, C. Bekkey, and R. Djellouli, Construction of local boundary conditions for an eigenvalue problem. Application to optical waveguide problems, Journal of Computational Physics 193, (2004), pp. 666--696.
 
[11] C. Farhat, R. Tezaur, and R. Djellouli, On the solution of three-dimensional
inverse obstacle acoustic scattering problems by a regularized Newton method, Inverse Problems 18 (5), (2002), pp. 1229--1246.
 
[10] R. Tezaur, A. Macedo, C. Farhat, and R. Djellouli, Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries, International Journal for Numerical Methods in Engineering 53, (2002), pp. 1461--1476.
 
[9] R. Djellouli, C. Farhat, and R. Tezaur,  A fast method for solving acoustic scattering problems in frequency bands, Journal of Computational Physics 168, (2001), pp. 412--432.
 
[8] R. Djellouli, C. Bekkey, A. Choutri, and H. Rezgui, A local boundary condition
coupled to a finite element method to compute guided modes of optical fibers under the weak guidance assumptions, Mathematical Methods in the Applied Sciences 23, (2000), pp. 1551--1583. (Bekkey was Ph.D. student at the time of authorship)
 
[7] C. Bekkey and R. Djellouli, An integral method to compute guided modes of an optical coupler in the vectorial case, Applied Mathematical Modeling 24, (2000), pp. 697--713. (Bekkey was Ph.D. student at the time of authorship)
 
[6] R. Djellouli, C. Farhat, A. Macedo and R. Tezaur, Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries, Journal of Computational Acoustics 8, (2000), pp. 81--99.
 
[5] R. Djellouli and C. Farhat, On the characterization of the Fr\'echet differentiability
with respect to a Lipschitz domain of the acoustic scattered field, Journal of Mathematical Analysis and Applications, 238, (1999), pp. 259--276.
 
[4] R. Djellouli, C. Farhat, J. Mandel, and P. Vanek, Continuous Fr\'echet
differentiability with respect to a Lipschitz domain and a stability estimate for direct acoustic scattering problems, IMA Journal of Applied Mathematics 63, (1999), pp. 51--59. 
 
[3] R. Djellouli, Integral method to calculate propagation constants and cut-off frequencies of guided modes of optical fibers. Part II: case of fibers with two cores, Maghreb Mathematical Review 3 (2), (1994), pp. 97--115.
 
[2] R. Djellouli, Integral method to calculate propagation constants and cut-off frequencies of guided modes of optical fibers, Part I: case of step-index profile fibers, Maghreb Mathematical Review 3 (1), (1994), pp. 31--64.
 
[1] A. S. Bonnet and R. Djellouli, High frequency asymptotic of guided modes in optical fibers,  IMA Journal of Applied Mathematics 52, (1994), pp. 271--287.

Refereed Journals Refereed Proceedings Journals of Popular Science