Marcus Vinicius Sarkis Martins

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Produções bibliográficas

• GUZM?N, JOHNNY ; S?NCHEZ, MANUEL A. ; SARKIS, MARCUS . Higher-order finite element methods for elliptic problems with interfaces. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE , v. 50, p. 1561-1583, 2016.

• GUZM?N, JOHNNY ; S?NCHEZ, MANUEL A. ; SARKIS, MARCUS . On the accuracy of finite element approximations to a class of interface problems. MATHEMATICS OF COMPUTATION , v. 85, p. 2071-2098, 2015.

• Dryja, Maksymilian ; Galvis, Juan ; SARKIS, MARCUS . The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions. NUMERISCHE MATHEMATIK , v. 131, p. 737-770, 2015.

• Dryja, Maksymilian ; Galvis, Juan ; SARKIS, MARCUS . A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method. Computational Methods in Applied Mathematics , v. 15, p. 465-482, 2015.

• Dryja, Maksymilian ; Galvis, Juan ; SARKIS, MARCUS . A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method. SIAM Journal on Numerical Analysis (Online) , v. 51, p. 400-422, 2013.

• D. B. Szyld ; SCHAERER, C. ; Sarkis, M. ; DU, X. . Inexact and truncated Parareal-in-time Krylov subspace methods for parabolic optimal control problems. Electronic Transactions on Numerical Analysis , v. 40, p. 36-57, 2013.

• Etereldes Goncalves ; Sarkis, M. . Analysis of robust parameter-free multilevel methods for Neuamnn boundary control problems. Computational Methods in Applied Mathematics , v. 13, p. 207-235, 2013.

• EFENDIEV, Y. ; GALVIS, J. ; LAZAROV, R. ; MOON, M. ; Sarkis, M. . Generalized multiscale finite element method. Symmetric interior penalty coupling. JOURNAL OF COMPUTATIONAL PHYSICS , v. 255, p. 1-15, 2013.

• Galvis, Juan ; SARKIS, MARCUS . Regularity Results for the Ordinary Product Stochastic Pressure Equation. SIAM Journal on Mathematical Analysis , v. 44, p. 2637-2665, 2012.

• GALVIS, J. ; Sarkis, M. . FETI-DP for Stokes-Mortar-Darcy Systems. Lecture Notes in Computational Science and Engineering , v. 78, p. 221-228, 2011.

• DRYJA, M. ; Sarkis, M. . Technical Tools for Boundary Layers and Applications to Heterogeneous Coefficients. Lecture Notes in Computational Science and Engineering , v. 78, p. 205-212, 2011.

• DRYJA, M. ; GALVIS, J. ; Sarkis, M. . N-N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients. Lecture Notes in Computational Science and Engineering , v. 78, p. 27-38, 2011.

• Dryja, Maksymilian ; Galvis, Juan ; Sarkis, Marcus ; Sarkis, M. . Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures. Numerical Methods for Partial Differential Equations (Print) , v. n/a, p. n/a-n/a, 2011.

• GALVIS, J. ; Sarkis, M. . BDD and FETI Methods for Mortar Coupling of Stokes-Darcy Systems.. COMM APP MATH COM SC , v. 5, p. 1-30, 2010.

• DRYJA, M. ; Sarkis, M. . Additive Average Schwarz Methods for Discretization of Elliptic Problems with Highly Discontinuous Coefficients. Computational Methods in Applied Mathematics , v. 10, p. 164-167, 2010.

• MATHEW, T. ; Sarkis, M. ; SCHAERER, C. . Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems. SIAM Journal on Scientific Computing , v. 32, p. 1180-1200, 2010.

• GALVIS, J. ; Sarkis, M. . Approximating infinite-dimensional stochastic Darcy's euqations without uniform ellipticity Darcy's equations without uniform ellipticity. SIAM Journal on Numerical Analysis (Print) , v. 47, p. 3624-3651, 2009.

• Sarkis, M. ; VERSIEUX, H. . Convergence analysis for the numerical boundary corrector for elliptic equations with rapidly oscilating coefficients. SIAM Journal on Numerical Analysis , v. 46, p. 545-576, 2008.

• Etereldes Goncalves ; MATHEW, T. ; Sarkis, M. ; SCHAERER, C. . A Robust preconditioner for the Hessian system in elliptic optimal control problems. Lecture Notes in Computational Science and Engineering , v. 60, p. 527-534, 2008.

• DRYJA, M. ; GALVIS, J. ; Sarkis, M. . Balancing domain decomposition methods for discontinuous Galerkin discretization. Lecture Notes in Computational Science and Engineering , v. 60, p. 271-278, 2008.

• MATHEW, T. ; Sarkis, M. ; SCHAERER, C. . Block diagonal parareal preconditioner for parabolic optimal control problems. Lecture Notes in Computational Science and Engineering , v. 60, p. 409-416, 2008.

• Sarkis, M. ; J. H. Kimn . Restricted overlapping balancing domain decompositionmethods and restricted coarse problems for the Helmholtz problem. Computer Methods in Applied Mechanics and Engineering , v. 196, p. 1507-1514, 2007.

• Sarkis, M. ; D. 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 , v. 196, p. 1612-1621, 2007.

• MATHEW, T. ; Sarkis, M. ; SCHAERER, C. . Analisis of block matrix preconditioners for elliptic optimal control problems. Numerical Linear Algebra with Applications , v. 14, p. 257-270, 2007.

• FRANCA, L. ; OLIVEIRA, S. P. ; Sarkis, M. . Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Mathematical Models and Methods in Applied Sciences , v. 17, p. 439-459, 2007.

• GALVIS, J. ; Sarkis, M. . Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Electronic Transactions on Numerical Analysis , v. 26, p. 373-380, 2007.

• DRYJA, M. ; GALVIS, J. ; Sarkis, M. . BDDC methods for discontinuous Galerkin discretization of elliptic problems. Journal of Complexity , v. 23, p. 715-739, 2007.

• Sarkis, M. ; L. Roman . Stochastic Galerkin Method for elliptic SPDEs: A white noise. Discrete and Continuous Dynamical Systems B, v. 6, p. 941-955, 2006.

• Sarkis, M. ; MARCHESI, D. ; SCHAERER, C. ; P. Bedrikovetsky . Permeability hysteresis in gravity counterflow segregation. SIAM J. Appl. Math., v. 66, p. 1512-1532, 2006.

• Sarkis, M. ; VERSIEUX, H. . Numerical boundary corrector for elliptic equations. Communications in Numerical Methods in Engineering , v. 22, p. 577-589, 2006.

• Sarkis, M. ; VERSIEUX, H. . A three-scale finite element method for elliptic equations with rapidly oscillating periodic coefficients. Lecture Notes in Computational Science and Engineering , v. 55, p. 763-770, 2006.

• Sarkis, M. ; D. B. Szyld . A proposal for a dynamically adapted inexact additive Schwarz preconditioner. Lecture Notes in Computational Science and Engineering , v. 55, p. 333-337, 2006.

• Sarkis, M. ; GALVIS, J. . Balancing domain decomposition methods for mortar coupling Stokes--Darcy systems. Lecture Notes in Computational Science and Engineering , v. 55, p. 373-380, 2006.

• Sarkis, M. ; J. H. Kimn . OBDD: Overlapping balancing domain decomposition methods and generalizations to the Helmholtz equation. Lecture Notes in Computational Science and Engineering, v. 55, p. 317-324, 2006.

• Sarkis, M. . Domain Decomposition: Schwarz Methods. Applied Mathematics and Scientific Computing, Kluwer Academic/Plenum Plublishers, New York, p. 3-29, 2003.

• Sarkis, M. ; TU, X. . Singular Function Mortar Finite Element. Comp. Meth. Appl. Math, v. 3, p. 202-218, 2003.

• Sarkis, M. ; DRYJA, M. ; CAI, X. . A Restrited Additive Schwarz Preconditioner with Harmonic Overlap for Symmetric Positive Definite Linear System. SIAM Journal on Numerical Analysis , USA, v. 41, p. 1209-1233-1231, 2003.

• Sarkis, M. . Partition of Unity Coarse Spaces: Enhanced Versions, Discontinuous Coefficients and Applications to Elasticity. Domain Decomposition Methods in Science and Engineering, p. 149-158, 2003.

• Sarkis, M. . A Coarse Space for Elasticity: Partition of Unity Rigid Body Motions Coarse Space. Applied Mathematics and Scientific Computing,Kluwer Academic/Plenum Plublishers, p. 261-274, 2003.

• Sarkis, M. ; CAI, X. ; DRYJA, M. . RASHO:A Restricted Additive Schwarz Preconditioner with Harmonic Extension. CIMNE, Barcelona, 2002.

• Sarkis, M. . Partition of Unity Coarse Spaces. AMS-Contemporary Mathematics, v. 295, p. 445-456, 2002.

• Sarkis, M. . Partition of Unity Coarse Spaces and Schwarz Methods with Harmonic Overlap. Lecture Notes in Computational Science and Engineering, Springer-Verlag, v. 23, p. 75-92, 2002.

• Sarkis, M. . Hybrid Overlapping Schwarz Methods. Revista CUBO, 2002.

• Sarkis, M. ; HETMANIU, U. ; FARHAT, C. ; LESOINNE, M. . A linearized method for thefrequency analysis of three-dimensional fluid/structure interaction problem in all flow regimes. Computer Methods in Applied Mechanics and Engineering , v. 190, p. 3121-3146, 2001.

• Sarkis, M. ; KOOBUS, B. . A Scaled and Minimun Overlap Restricted Additive Schwarz Method with Application on Aerodynamics. Computer Methods in Applied Mechanics and Engineering , v. 184, p. 391-400, 2000.

• Sarkis, M. ; CAI, X. ; MATHEW, T. . Maximum norm analysis of overlapping non-matching grid discretizations of elliptic equations. SIAM Journal on Numerical Analysis , v. 37, p. 1709-1728, 2000.

• Sarkis, M. ; CAI, X. . A restricted additive Schwarz peconditioner for general sparse linear systems.. SIAM Journal on Scientific Computing , v. 21, p. 792-797, 1999.

• Sarkis, M. ; CAI, X. ; KEYES, D. ; PARASCHIVOIU, M. ; YOUNG, D. . Multi-domain multi-model formulation for compressible flows: Conservative interface coupling and parallel implicit solvers for 3D unstructured meshes.. Aiaa Paper 99 0784, 1999.

• Sarkis, M. ; CAI, X. ; DRYJA, M. . Overlapping non-matching grid mortar element methods for elliptic problems.. SIAM Journal on Numerical Analysis , v. 36(2), p. 581-606, 1999.

• Sarkis, M. ; CAI, X. . Local multiplicative Schwarz algorithms for steady and unsteady convection-diffusion equations.. East West J Numer Math, v. 6, 1998.

• Sarkis, M. ; FARHAT, C. ; CAI, X. . A minimum overlap restricted additive Schwarz preconditioner and applications to {3D} flow simulations. Contemporary Mathematics, v. 218, p. 479-485, 1998.

• Sarkis, M. . Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements.. Numerische Mathematik , v. 77, p. 383-406, 1997.

• Sarkis, M. ; DRYJA, M. ; WIDLUND, O. . Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions.. Numerische Mathematik , v. 72, p. 313-348, 1996.

• Sarkis, M. . Multilevel Methods for ${P}_1$ Nonconforming Finite Elements and Discontinuous Coefficients in Three Dimensions. Contemporary Mathematics, v. 180, p. 119-124, 1994.

• Sarkis, M. ; D. B. Szyld . Domain Decomposition for Nonsymmetric and Indefinite Linear Systems. In: F. Magoules. (Org.). Mesh Partitioning Techniques and Domain Decomposition Methods. : Saxe-Coburg Publications, 2007, v. , p. 165-188.

• SCHAERER, C. ; MATHEW, T. ; Sarkis, M. . Temporal domain decomposition for a linear quadratic optimal control problems. In: VECPAR 2006, 2007, Rio de Janeiro. Lecture Notes in Computer Sciences, 2007.

• CONCEICAO, D. T. ; GOLDFELD, P. ; Sarkis, M. . Robust two-level lower-order preconditioner for higher-order Stokes discretization with highly discontinuous viscosities. In: VECPAR 2006, 2007, Rio de Janeiro. Lecture Notes in Computer Sciences, 2007.

• Sarkis, M. ; VERSIEUX, H. . Numerical boundary corrector for elliptic equations with rapidly oscillating coefficient. In: XXV Iberian Latin American Congress in Computational Methods in Engineering, 2005, Recife, Brazil,. Proceedings of the XXV Iberian Latin American Congress in Computational Methods in Engineering, 2004.

• Sarkis, M. ; GALVIS, J. . Inf-sup for coupling Stokes--Darcy. In: XXV Iberian Latin American Congress in Computational Methods in Engineering, 2005, Recife. Proceedings of the XXV Iberian Latin American Congress in Computational Methods in Engineering, Recife, Brazil, 2004. Published by the Universidade Federal de Pernambuco, eds. Abimael Loula et al., 2004.

• Sarkis, M. ; SCHAERER, C. ; MARCHESI, D. . Numerical simulations of the gravity counterflow segregation with hysteretic permeability. In: XXV Iberian Latin American Congress in Computational Methods in Engineering, 2005, Recife. Proceedings of the XXV Iberian Latin American Congress in Computational Methods in Engineering, Recife, Brazil, 2004. Published by the Universidade Federal de Pernambuco, eds. Abimael Loula et al, 2004.

• Sarkis, M. ; GALVIS, J. . Finite elements for well-reservoir coupling. In: Rio Oil and Gas Expo and Conference, Rio de Janeiro, Brazil, 200, 2004. Proceedings of the Rio Oil and Gas Expo and Conference, Rio de Janeiro, Brazil, 2004. Published by IBP-Instituto Brasileiro do Petr\'oleo. In CD-ROM.

• Sarkis, M. ; MARCHESI, D. ; SCHAERER, C. ; P. Bedrikovetsky . Permeability hysteresis in gravity counterflow segregation. In: Rio Oil and Gas Expo and Conference, Rio de Janeiro, Brazil, 2004, 2004. Proceedings of the Rio Oil and Gas Expo and Conference, Rio de Janeiro, Brazil, 2004. Published by IBP-Instituto Brasileiro do Petr\'oleo. In CD-ROM.

• Sarkis, M. . Singular Function Enhanced Mortar Finite Element Method. In: 14th International Conference on Domain Decomposition Methods, 2002, Cocoyoc. Proceedings of the 14th International Conference on Domain Decomposition Methods, 2002.

• Sarkis, M. . Partition of Unity Coarse Spaces: Enhanced Versions, Discontinuous Coefficients and Applications to Elasticity. In: 14th International Conference on Domain Decomposition Methods, 2002, Cocoyoc, M\'exico. Proceedings of the 14th International Conference on Domain Decomposition Methods, 2002.

• Sarkis, M. ; PARASCHIVOIU, M. ; CAI, X. . An explicit multi-model compressible flow formulation based on the full potential equation and the Euler Equatio ns on 3D unstructured meshes. In: 11th International Conference on Domain Decomposition Methods, 1999, London. Proceedings of 11th International Conference on Domain Decomposition Methods, 1998. p. 159-177.

• Sarkis, M. ; CAI, X. ; DRYJA, M. . Error analysis of overlapping mortar element methods for elliptic problems. In: IMACS Conference, 1998, Estados Unidos. Iterative Methods in Scientific Computations J. Wang, M. Allen, B. Chen, T. Mathew, eds., IMACS Series in Computational and Applied Math., 4 (1998), 1997.

• Sarkis, M. ; FARHAT, C. ; CAI, X. . Variable degree Schwarz methods for the unsteady compressible flows. In: Eighth International Conference on Domain Decomposition Methods, 1997, Beijing. Proceedings of the Eighth International Conference on Domain Decomposition Methods, 1995.

• Sarkis, M. ; FARHAT, C. ; CAI, X. . Schwarz methods for the unsteady compressible Navier-Stokes equations on unstructured meshes. In: 9th International Conference of Domain Decomposition Methods in Sciences and Engineering, 1996, Bergen. Proceedings of 9th International Conference of Domain Decomposition Methods in Sciences and Engineering, 1995.

• Sarkis, M. . Two-level Schwarz methods for P_1 nonconforming finite elements and discontinuous coefficients. In: Sixth Copper Mountain Conference on Multigrid Methods, 1993, Copper Mountain, CO, USA. Proceedings of the Sixth Copper Mountain Conference on Multigrid Methodss. Hampton VA: NASA, 1993. v. 2. p. 543-566.

• GUZM?N, JOHNNY ; S?NCHEZ, MANUEL A. ; SARKIS, MARCUS . A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast. JOURNAL OF SCIENTIFIC COMPUTING , 2017.

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