Publications

Micromagnetics

1. Effective Dynamics in Ferromagnetic Thin Films , C. J. García-Cervera and Weinan E, J. Appl. Phys. Vol. 90, no. 1, pp. 370-374 (2001).
2. A Gauss-Seidel Projection Method for Micromagnetics Simulations, X.P. Wang, C.J. García-Cervera, and Weinan E, J. Comp. Phys., Vol. 171, pp. 357-372 (2001).
3. Accurate Numerical Methods for Micromagnetics Simulations with General Geometries , C.J. García-Cervera, Z. Gimbutas, and Weinan E, J. Comp. Phys. 184, 1, pp. 37-52, (2003)
4. Improved Gauss-Seidel Projection Method for Micromagnetics Simulations, C.J. García-Cervera, and Weinan E, IEEE Trans. Magn. 39, 3, pp. 1766-1770 (2003)
5. One-Dimensional Magnetic Domain Walls, C.J. García-Cervera, Euro. J. Appl. Math., Vol. 15, No. 4, pp. 451-486 (2004)
6. Néel Walls in Low Anisotropy Symmetric Double Layers, C.J. García-Cervera, SIAM J. Appl. Math., Vol. 65, No. 5, pp. 1726-1747 (2005)
7. Structure of the Bloch Wall in Multilayers, C.J. García-Cervera, Proc. R. Soc. A, vol. 461, pp. 1911--1926 (2005)
8. Magnetic Switching of Thin Films under Thermal Perturbation, Di Liu, and C.J. García-Cervera, J. Appl. Phys., 98, 023903 (2005)
9. Thermal activation in Permalloy nanorectangles at room temperature, E. Martinez, L. Lopez-Diaz, L. Torres, and C.J. García-Cervera, Physica B, 372, pp. 286-289 (2006)
10. Adaptive Mesh Refinement for Micromagnetics Simulations, C.J. García-Cervera and A.M. Roma, IEEE Trans. Magn., 42, pp. 1648-1654 (2006)
11. Advances in Numerical Micromagnetics: Spin-Polarized Transport, C.J. García-Cervera and X.-P. Wang, Bol. Soc. Esp. Mat. Apl., 34, 217--221 (2006).
12. Spin-Polarized Transport: Existence of Weak Solutions, C.J. García-Cervera and X.-P. Wang, Discrete and Continuous Dynamical Systems, series B, 7(1), pp. 87--100 (2007).
13. Spin-Polarized Currents in Ferromagnetic Multilayers, C.J. García-Cervera and X.-P. Wang, J. Comp. Phys., 224(2), pp. 699--711 (2007).
14. Numerical Micromagnetics: A Review, C.J. García-Cervera, Bol. Soc. Esp. Mat. Apl., 39, pp. 103--135 (2007).
15. A numerical study of the self-similar solutions of the Schrödinger Map, F. De La Hoz, C.J. García-Cervera and L. Vega, SIAM J. Appl. Math, submitted, (2008). 

Polymers and Liquid Crystals

1. Computational studies of the shear flow behaviour of a model for nematic liquid crystalline polymers, D.H. Klein, C.J. García-Cervera, H.D. Ceniceros, and L.G. Leal, ANZIAM J., 46, C210-C244 (2005)
2. Stability of the Gyroid Phase in Diblock Copolymers at Strong Segregation, E.W. Cochran, C.J. García-Cervera, and G.H. Fredrickson, Macromolecules, 39(7), pp. 2449-2451 (2006).
3. Defects and their removal in block copolymer thin film simulations, A.W. Bosse, S.W. Sides, K.Katsov, C.J. García-Cervera, and G.H. Fredrickson, Journal of Polymer Science Part B: Polymer Physics, 44 (18), pp. 2495-2511 (2006).
4. Self-consistent field theory simulations of block copolymer assembly on a sphere, T.L. Chantawansri, A.W. Bosse, A. Hexemer, H.D. Ceniceros, C.J. García-Cervera, E.J. Kramer, and G.H. Fredrickson, Phys. Rev. E, 75(3), 031802 (2007).
5. Microdomain ordering in laterally confined block copolymer thin films, A.W. Bosse, C.J. García-Cervera, and G.H. Fredrickson, Macromolecules, 40, pp. 9570-9581, (2007).
6. Ericksen number and Deborah number cascade predictions of a model for liquid crystalline polymers for simple shear flow, D.H. Klein, C.J. García-Cervera, H.D. Ceniceros, and L.G. Leal, Physics of Fluids, 19, 023101 (2007).
7. Three-dimensional shear driven dynamics of polydomain textures and disclination loops in liquid crystalline polymers, D.H. Klein, C.J. García-Cervera, H.D. Ceniceros, and L.G. Leal, Journal of Rheology, 52, pp. 837-863 (2008).
8. Numerical Solutions of the Complex Langevin Equations in Polymer Field Theory, E.M. Lennon, G.O. Mohler, H.D. Ceniceros, C.J. García-Cervera, and G.H. Fredrickson, Multiscale Modeling and Simulation, 6(4), pp. 1347-1370 (2008).
9. Geometric strong segregation theory for compositionally asymmetric diblock copolymer melts, C.B. Muratov, M. Novaga, G. Orlandi, and C.J. García-Cervera, in ''Singularities in nonlinear evolution phenomena and applications", CRM Series, 9, Birkhauser, (2009).
10. SCFT Simulations of Thin Film Blends of Block Copolymer and Homopolymer Laterally Confined in a Square Well, S. Hur, C.J. García-Cervera, E. Kramer, and G.H. Fredrickson, Macromolecules, in press (2009).
11. Analytic description of layer undulations in smectic A liquid crystals, C.J. García-Cervera and S. Joo, Journal of Theoretical
    and Computational Nanosciences, in press (2008).
    

Density-Functional Theory

1. An Efficient Real Space Method for Orbital-Free Density-Functional Theory, C.J. García-Cervera, Comm. Comp. Phys., 2 (2), pp. 334-357 (2007).
2. Asymptotics-based sub-linear scaling algorithms and application to the study of the electronic structure of materials, C.J. García-Cervera, J. Lu, and W. E, Communications in Mathematical Sciences, 5(4), pp.999-1026, (2007).
3. A remark on 'An Efficient Real Space Method for Orbital-Free Density Functional Theory',  C.J. García-Cervera, Comm. Comp. Phys., 3(4), pp. 968-872 (2008).
4. A Linear Scaling Subspace Iteration Algorithm with Optimally Localized Non-Orthogonal Wave Functions for Kohn-Sham Density Functional Theory, C.J. García-Cervera, Jianfeng Lu, Yulin Xuan, and Weinan E, Phys. Rev. B, 79(11), 115110, (2009).

Miscellaneous

1. Sequential multiscale modeling using sparse representation, C.J. García-Cervera, W. Ren, J. Lu, and W. E, Comm. Comp. Phys., 4(5), pp. 1025--1033 (2008).
2. A Density Gradient Corrected Embedded Atom Method, G. Wu, W. Lu, C.J. García-Cervera, and W. E, Phys. Rev. B., 79, 035124 (2009).

Books Edited

1. Advances in Materials Modeling: Analysis and Simulations. Special Issue of Discrete and Continuous Dynamical Systems, Series B, Volume 6, Number 2 (2006).