Most relevant publications of Marcus Sarkis

Other publications

  • 45. Maksymilian Dryja, Juan Galvis and Marcus Sarkis, Neumann-Neumann methods for a DG discretization of elliptic problems with discontinuous coefficients on geometrically nonconforming substructures Technical Report Serie A 634, Instituto de Matematica Pura e Aplicada, Brazil, Aug 2009. Submitted.

  • 44. Juan Galvis and Marcus Sarkis, Approximating infinity-dimensional stochastic Darcy's equations without uniform ellipticity Technical Report Serie A 587, Instituto de Matematica Pura e Aplicada, Brazil, Feb 2009. To appear in SIAM Journal Numerical Analysis.

  • 43. Tarek B. Mathew, Marcus Sarkis and Christian Schaerer, Analysis of block parareal preconditioners for parabolic control problems. Technical Report Serie A 585, Instituto de Matematica Pura e Aplicada, Brazil, February 2008. To appear in SIAM Journal Scientific Computing.

  • 42. Christopher Larsen, Casey Richardson and Marcus Sarkis, A level set method for the Mumford-Shah functional and fracture. Technical Report Serie A 581, Instituto de Matematica Pura e Aplicada, Brazil, January 2008. Submitted

  • 41. Juan Galvis and Marcus Sarkis, BDD and FETI methods for mortar coupling of Stokes-Darcy . Technical Report Serie A 563, Instituto de Matematica Pura e Aplicada, Brazil, November 2008. Submitted.

  • 40. Tarek P. Mathew, Marcus Sarkis and Christian E. Schaerer, Block diagonal parareal preconditioner for parabolic optimal control problems , in Domain Decomposition Methods in Science and Engineering XVII, Ulrich Langer et al. (eds.), vol. 60 of Lecture Notes in Computational Science and Engineering , Springer-Verlag, 2008, pp 409-416. Bibtex

  • 39. Maksymilian Dryja, Juan Galvis and Marcus Sarkis, Balancing domain decomposition methods for discontinuous Galerkin discretization , in Domain Decomposition Methods in Science and Engineering XVII, Ulrich Langer et al. (eds.), vol. 60 of Lecture Notes in Computational Science and Engineering,Springer-Verlag, 2008, pp 271-278. Bibtex

  • 38. Etereldes Goncalves, Tarek P. Mathew, Marcus Sarkis and Christian E. Schaerer, A Robust preconditioner for the Hessian system in elliptic optimal control problems , in Domain Decomposition Methods in Science and Engineering XVII, Ulrich Langer et al. (eds.), vol. 60 of Lecture Notes in Computational Science and Engineering , Springer-Verlag, 2008, pp. 527-534.. Bibtex

  • 37. Juan Galvis and Marcus Sarkis, Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations , Electron. Trans. Numer. Anal. Vol.26 (2007) pp.373-380. Bibtex

  • 36. Marcus Sarkis and Henrique Versieux Convergence analysis for the numerical boundary corrector for elliptic equations with rapidly oscilating coefficients , To appear at SIAM J. Numer. Anal. (2007). Bibtex

  • 35. Maksymilian Dryja, Juan Galvis and Marcus Sarkis, BDDC methods for discontinuous Galerkin discretization of elliptic problems , Journal of Complexity , Vol. 23 (2007) 715-739. Bibtex

  • 34. Duilio Conceicao, Paulo Goldfeld and Marcus Sarkis, Robust two-level lower-order preconditioners for a higher-order Stokes discretization with highly discontinuous viscosities , High Performance Computing for Computational Sciences-VECPAR2006}, Lecture Notes in Computer Sciences , Volume 4395, 2007, pp. 319-333, Springer. Bibtex

  • 33. Christian E. Schearer, Tarek Mathew and Marcus Sarkis, Temporal domain decomposition for a linear quadratic optimal control problems , High Performance Computing for Computational Sciences-VECPAR2006} Lecture Notes in Computer Sciences , volume 4395, 2007, pp. 452-465, Springer. Bibtex

  • 32. Leopoldo P. Franca, Saulo P. Oliveira and Marcus Sarkis, Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions , Mathematical Models and Methods in Applied Sciences (M3AS) , vol. 17(3) (2007) pp 439-459. Bibtex

  • 31. Tarek P. Mathew, Marcus Sarkis and Christian E. Schaerer, Analysis of block matrix preconditioners for elliptic optimal control problem , Numerical Linear Algebra with Applications, vol. 14(3) (2007). Bibtex

  • 30. Marcus Sarkis and and Daniel B. Szyld, Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms , Computer Methods in Applied Mechanics and Engineering, vol. 196 (2007) pp. 1612-1621. Bibtex

  • 29. Jung-Han Kimn and Marcus Sarkis, Restricted overlapping balancing domain decomposition and restricted coarse problem for the Helmholtz equation , Computer Methods in Applied Mechanics and Engineering, vol. 196 (2007) pp. 1507-1514. Bibtex

  • 28. Christian E. Schaerer, Marcus Sarkis, Dan Marchesin and Pavel Bedrikovetsky, Permeability hysteresis in gravity counterflow segregation, SIAM J. Appl. Math., vol. 66(2), 2006, pp. 1512-1532. Bibtex

  • 27. Luis Roman and Marcus Sarkis, Stochastic Galerkin method for elliptic SPDEs: A white noise approach , DCDS-B , vol. 6(4), 2006, pp. 941-955. Bibtex

  • 26. Henrique Versieux and Marcus Sarkis, Numerical boundary corrector for elliptic equations , Commun. Numer. Methods in Engrg , vol. 22(7), 2006, pp. 577-589. Bibtex

  • 25. Juan Galvis and and Marcus Sarkis, Balancing domain decomposition methods for mortar coupling Stokes-Darcy system, Domain Decomposition Methods in Science and Engineering XVI , Olof Widlund and David Keyes (eds.), Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 373-380. Bibtex

  • 24. Henrique Versieux and and Marcus Sarkis, A three-scale finite element method for elliptic equations with rapidly oscillating periodic coefficient, Domain Decomposition Methods in Science and Engineering XVI , Olof Widlund and David Keyes (eds.), Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 763-770. Bibtex

  • 23. Jung-Han Kimn and Marcus Sarkis, OBDD: overlapping balancing domain decomposition methods and generalizations to Helmholtz equations, Domain Decomposition Methods in Science and Engineering XVI , Olof Widlund and David Keyes (eds.), Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 317-324. Bibtex

  • 22. Marcus Sarkis and and Daniel B. Szyld, A Proposal for a dynamically adapted inexact additive Schwarz preconditioner, Domain Decomposition Methods in Science and Engineering XVI , Olof Widlund and David Keyes (eds.), Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 333-337. Bibtex

  • 21. Xiao-Chuan Cai, Maksymilian Dryja and Marcus Sarkis, Restricted additive Schwarz preconditioner with harmonic overlap for symmetric positive definite linear systems , SIAM J. Numer. Anal., 41(4), 2003, pp. 1209-1231. Bibtex

  • 20. Marcus Sarkis and Xuemin Tu, Singular function mortar finite element methods , Comput. Methods. Appl. Math. , 3(1), 2003, pp. 202-218. Bibtex

  • 19. Marcus Sarkis, Partition of unity coarse spaces: enhanced versions, discontinuous coefficients and applications to elasticity , Domain decomposition methods in science and engineering, Natl. Auton. Univ. Mex., Mexico , 2003, pp. 149-158. Bibtex

  • 18. Marcus Sarkis, A coarse space for elasticity: partition of unity rigid body motions coarse space , Applied Mathematics and Scientific Computing (Dubrovnik, 2001) , Kluwer/Plenum, New York, 2003, pp 261-273. Bibtex

  • 17. Marcus Sarkis, Partition of unity coarse spaces and Schwarz methods with harmonic overlap , Lect. Notes Comput. Sci. Eng. (Zurich, 2001) , Springer-Verlag, Vol. 23, 2002, pp. 75-92. Bibtex

  • 16. Marcus Sarkis, Partition of unity coarse spaces , Contemp. Math. (Holyoke, 2001) , Vol. 295, Amer. Math. Soc., Providence, RI, 2002, pp. 445-456. Bibtex

  • 15. Michel Lesoinne, Marcus Sarkis, Ulrich Hetmaniu and Charbel Farhat, A linearized method for the frequency analysis of three-dimensional fluid/structure interaction problems in all flow regimes , Computer Methods in Applied Mechanics and Engineering, vol. 190, 2001, pp. 3121-3146. Bibtex

  • 14. Marcus Sarkis and Bruno Koobus, A scaled and minimum overlap restricted additive Schwarz method with application on aerodynamics , Computer Methods in Applied Mechanics and Engineering, vol. 184, 2000, pp. 391-400. Bibtex

  • 13. Xiao-Chuan Cai, Tarek Mathew and Marcus Sarkis, Maximum norm analysis of overlapping non-matching grid discretizations of elliptic equations , SIAM J. Numer. Anal., 37 (5), 2000, pp. 1709-1728. Bibtex

  • 12. Xiao-Chuan Cai and Marcus Sarkis, A restricted additive Schwarz preconditioner for general sparse linear systems , SIAM J. Sci. Comput., 21 (2), 1999, pp. 792-797. Bibtex

  • 11. Xiao-Chuan Cai, Marius Paraschivoiu and Marcus Sarkis, An explicit multi-model compressible flow formulation based on the full potential equation and the Euler Equations on 3D unstructured meshes , Eleventh International Conference on Domain Decomposition Methods (London, 1998), 1999, pp. 159-177. Bibtex

  • 10. Xiao-Chuan Cai, Maksymilian Dryja and Marcus Sarkis, Overlapping nonmatching grid mortar element methods for elliptic problems , SIAM J. Numer. Anal., 36(2). 1999, pp. 581-606. Bibtex

  • 9. Xiao-Chuan Cai, David Keyes, Marius Paraschivoiu, Marcus Sarkis and David Young, Conservative interface coupling and parallel implicit solvers for 3D unstructured applications in 3D flow simulations , Proceedings of the 37th AIAA Aerospace Sciences Meeting and Exhibit , AIAA Paper 99-0784, 1999. Bibtex

  • 8. Xiao-Chuan Cai, Charbel Farhat and Marcus Sarkis, A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations , Contemp. Math. (Boulder, CO, 1997) , Vol. 218, Amer. Math. Soc., Providence, RI, 1998, pp. 479-485. Bibtex

  • 7. Xiao-Chuan Cai and Marcus Sarkis, Local multiplicative Schwarz algorithms for steady and unsteady convection-diffusion equations , East-West J. Numer. Math. , 6(1), 1998, pp. 27-41. Bibtex

  • 6. Marcus Sarkis, Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements , Numer. Math. , 77(3), 1997, pp. 383-406. Bibtex

  • 5. Xiao-Chuan Cai, Charbel Farhat and Marcus Sarkis, Variable degree Schwarz methods for the implicit solution of unsteady compressible Navier--Stokes equations on two-dimensional unstructured meshes ICASE Report No. 96-48, NASA Langley Research Center, 1996. Bibtex

  • 4. Maksymilian Dryja, Marcus Sarkis and Olof Widlund, Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions , Numer. Math., 72(3), 1996, pp. 313-348. Bibtex

  • 3. Marcus Sarkis Schwarz preconditioners for elliptic problems with discontinuous coefficients using conforming and non-conforming elements , PhD Dissertation, Technical Report 671, Courant Institute, September 1994. Bibtex

  • 2. Marcus Sarkis, Multilevel methods for $P_1$ nonconforming finite elements and discontinuous coefficients in three dimensions , Domain Decomposition Methods in Scientific and Engineering (Univesity Park, PA, 1993), Contemp. Math. , Vol. 180, Amer. Math. Soc., Providence, RI, 1994, pp. 119-124. Bibtex

  • 1. Marcus Sarkis, Two-level Schwarz methods for $P_1$ nonconforming finite elements and discontinuous coefficients , Proceedings of the Sixth Copper Mountain Conference on Multigrid Methods, Volume 2, number 3224, pages 543-566, Hampton VA, 1993. NASA. >Bibtex