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ORCIDMarcus Sarkis
Journal Articles
- 2024
[j23]Yi Yu, Marcus Sarkis:
A family of Nonoverlapping Spectral Additive Schwarz methods (NOSAS) and their economic versions. J. Comput. Appl. Math. 443: 115734 (2024)- 2021
- [j22]Alexandre L. Madureira
, Marcus Sarkis:
Hybrid Localized Spectral Decomposition for Multiscale Problems. SIAM J. Numer. Anal. 59(2): 829-863 (2021) - [j21]Yi Yu, Maksymilian Dryja, Marcus Sarkis:
From Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz Methods. SIAM J. Numer. Anal. 59(5): 2608-2638 (2021) - 2018
- [j20]Eduardo Abreu, Ciro Díaz, Juan Galvis, Marcus Sarkis:
On high-order conservative finite element methods. Comput. Math. Appl. 75(6): 1852-1867 (2018) - [j19]Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker:
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. J. Sci. Comput. 77(3): 1736-1761 (2018) - 2017
- [j18]Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis:
A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast. J. Sci. Comput. 73(1): 330-365 (2017) - 2016
- [j17]Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis:
On the accuracy of finite element approximations to a class of interface problems. Math. Comput. 85(301): 2071-2098 (2016) - 2015
- [j16]Maksymilian Dryja, Juan Galvis, Marcus Sarkis:
A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method. Comput. Methods Appl. Math. 15(4): 465-482 (2015) - [j15]Maksymilian Dryja, Juan Galvis, Marcus Sarkis:
The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions. Numerische Mathematik 131(4): 737-770 (2015) - 2013
- [j14]Etereldes Gonçalves, Marcus Sarkis:
Analysis of Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems. Comput. Methods Appl. Math. 13(2): 207-235 (2013) - [j13]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, M. Moon, Marcus Sarkis:
Generalized multiscale finite element method. Symmetric interior penalty coupling. J. Comput. Phys. 255: 1-15 (2013) - [j12]Maksymilian Dryja, Juan Galvis, Marcus Sarkis:
A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method. SIAM J. Numer. Anal. 51(1): 400-422 (2013) - 2012
- [j11]Juan Galvis, Marcus Sarkis:
Regularity Results for the Ordinary Product Stochastic Pressure Equation. SIAM J. Math. Anal. 44(4): 2637-2665 (2012) - 2010
- [j10]Maksymilian Dryja, Marcus Sarkis:
Additive Average Schwarz Methods for Discretization of Elliptic Problems with Highly Discontinuous Coefficients. Comput. Methods Appl. Math. 10(2): 164-176 (2010) - [j9]Tarek P. Mathew, Marcus Sarkis, Christian E. Schaerer:
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems. SIAM J. Sci. Comput. 32(3): 1180-1200 (2010) - 2009
- [j8]Juan Galvis, Marcus Sarkis:
Approximating Infinity-Dimensional Stochastic Darcy's Equations without Uniform Ellipticity. SIAM J. Numer. Anal. 47(5): 3624-3651 (2009) - 2008
- [j7]Marcus Sarkis, Henrique M. Versieux:
Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients. SIAM J. Numer. Anal. 46(2): 545-576 (2008) - 2007
- [j6]Maksymilian Dryja, Juan Galvis, Marcus Sarkis:
BDDC methods for discontinuous Galerkin discretization of elliptic problems. J. Complex. 23(4-6): 715-739 (2007) - [j5]Tarek P. Mathew, Marcus Sarkis, Christian E. Schaerer:
Analysis of block matrix preconditioners for elliptic optimal control problems. Numer. Linear Algebra Appl. 14(4): 257-279 (2007) - 2006
- [j4]Christian E. Schaerer, Dan Marchesin, Marcus Sarkis, Pavel G. Bedrikovetsky:
Permeability Hysteresis in Gravity Counterflow Segregation. SIAM J. Appl. Math. 66(5): 1512-1532 (2006) - 2003
- [j3]Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis:
Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems. SIAM J. Numer. Anal. 41(4): 1209-1231 (2003) - 2000
- [j2]Xiao-Chuan Cai, Tarek P. Mathew, Marcus V. Sarkis:
Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations. SIAM J. Numer. Anal. 37(5): 1709-1728 (2000) - 1999
- [j1]Xiao-Chuan Cai, Marcus Sarkis:
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems. SIAM J. Sci. Comput. 21(2): 792-797 (1999)
Conference and Workshop Papers
- 2006
- [c2]Duilio Conceição, Paulo Goldfeld, Marcus Sarkis:
Robust Two-Level Lower-Order Preconditioners for a Higher-Order Stokes Discretization with Highly Discontinuous Viscosities. VECPAR 2006: 319-333 - [c1]Christian E. Schaerer, Tarek P. Mathew, Marcus Sarkis:
Block Iterative Algorithms for the Solution of Parabolic Optimal Control Problems. VECPAR 2006: 452-465
Parts in Books or Collections
- 2013
- [p3]Etereldes Gonçalves, Marcus Sarkis:
Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 111-118 - [p2]Jung-Han Kimn, Marcus Sarkis:
Shifted Laplacian RAS Solvers for the Helmholtz Equation. Domain Decomposition Methods in Science and Engineering XX 2013: 151-158 - [p1]Clemens Pechstein, Marcus Sarkis, Robert Scheichl:
New Theoretical Coefficient Robustness Results for FETI-DP. Domain Decomposition Methods in Science and Engineering XX 2013: 313-320
Informal and Other Publications
- 2021
- [i2]O. Andrés Cuervo, Juan Galvis, Marcus Sarkis:
Natural Factor Based Solvers. CoRR abs/2106.05419 (2021) - 2020
- [i1]Yi Yu, Maksymilian Dryja, Marcus Sarkis:
From Additive Average Schwarz Methods to Non-overlapping Spectral Additive Schwarz Methods. CoRR abs/2012.13610 (2020)
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