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