Tselepidis, N. A.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. Distributed algebraic tearing and interconnecting techniques. (English) Zbl 07128067 Numer. Algorithms 82, No. 3, 809-842 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{N. A. Tselepidis} et al., Numer. Algorithms 82, No. 3, 809--842 (2019; Zbl 07128067) Full Text: DOI
Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A. Parallel Schur complement techniques based on multiprojection methods. (English) Zbl 1395.65009 SIAM J. Sci. Comput. 40, No. 4, C634-C654 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F50 65N55 68W10 68W15 PDFBibTeX XMLCite \textit{B. E. Moutafis} et al., SIAM J. Sci. Comput. 40, No. 4, C634--C654 (2018; Zbl 1395.65009) Full Text: DOI
Kyziropoulos, P. E.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. Parallel \(N\)-body simulation based on the PM and P3M methods using multigrid schemes in conjunction with generic approximate sparse inverses. (English) Zbl 1394.70033 Math. Probl. Eng. 2015, Article ID 450980, 12 p. (2015). MSC: 70F10 65N80 PDFBibTeX XMLCite \textit{P. E. Kyziropoulos} et al., Math. Probl. Eng. 2015, Article ID 450980, 12 p. (2015; Zbl 1394.70033) Full Text: DOI
Saberi Najafi, H.; Edalatpanah, S. A.; Gravvanis, G. A. An efficient method for computing the inverse of arrowhead matrices. (English) Zbl 1314.65041 Appl. Math. Lett. 33, 1-5 (2014). MSC: 65F05 15A09 PDFBibTeX XMLCite \textit{H. Saberi Najafi} et al., Appl. Math. Lett. 33, 1--5 (2014; Zbl 1314.65041) Full Text: DOI
Gravvanis, George A. High performance inverse preconditioning. (English) Zbl 1172.65019 Arch. Comput. Methods Eng. 16, No. 1, 77-108 (2009). MSC: 65F35 65F10 65F50 65Y05 65Y20 65-02 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Arch. Comput. Methods Eng. 16, No. 1, 77--108 (2009; Zbl 1172.65019) Full Text: DOI
Gravvanis, George A. OpenMP based parallel normalized direct methods for sparse finite element linear systems. (English) Zbl 1187.65045 J. Supercomput. 47, No. 1, 44-52 (2009). MSC: 65F50 65F05 65Y05 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, J. Supercomput. 47, No. 1, 44--52 (2009; Zbl 1187.65045) Full Text: DOI
Giannoutakis, Konstantinos M.; Gravvanis, George A. A performance study of normalized explicit finite element approximate inverse preconditioning on uniprocessor and multicomputer systems. (English) Zbl 1182.65170 Eng. Comput. (Bradf.) 23, No. 3, 192-217 (2006). MSC: 65N30 65F10 65F50 PDFBibTeX XMLCite \textit{K. M. Giannoutakis} and \textit{G. A. Gravvanis}, Eng. Comput. (Bradf.) 23, No. 3, 192--217 (2006; Zbl 1182.65170) Full Text: DOI
Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M. A distributed normalized explicit preconditioned conjugate gradient method. (English) Zbl 1091.65031 Parallel Algorithms Appl. 19, No. 2-3, 163-174 (2004). MSC: 65F10 65Y05 65F35 35J25 65N06 PDFBibTeX XMLCite \textit{G. A. Gravvanis} et al., Parallel Algorithms Appl. 19, No. 2--3, 163--174 (2004; Zbl 1091.65031) Full Text: DOI
Gravvanis, G. A. Explicit preconditioned domain decomposition schemes for solving nonlinear boundary value problems. (English) Zbl 1035.65149 Comput. Math. Appl. 45, No. 1-3, 263-272 (2003). MSC: 65N55 65F35 65H10 35J05 65N06 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Comput. Math. Appl. 45, No. 1--3, 263--272 (2003; Zbl 1035.65149) Full Text: DOI
Gravvanis, G. A. Explicit approximate inverse preconditioning techniques. (English) Zbl 1032.65046 Arch. Comput. Methods Eng. 9, No. 4, 371-402 (2002). MSC: 65F35 35J65 35K55 65F10 65H10 65M55 65F50 65M06 65M60 65N06 65N30 65N55 35J25 35K20 65Y20 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Arch. Comput. Methods Eng. 9, No. 4, 371--402 (2002; Zbl 1032.65046) Full Text: DOI
Gravvanis, George A. Explicit isomorphic iterative methods for solving arrow-type linear systems. (English) Zbl 0955.65023 Int. J. Comput. Math. 74, No. 2, 195-205 (2000). MSC: 65F10 65F50 65F35 65Y05 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Int. J. Comput. Math. 74, No. 2, 195--205 (2000; Zbl 0955.65023) Full Text: DOI
Gravvanis, George A. An approximate inverse matrix technique for arrowhead matrices. (English) Zbl 0933.65031 Int. J. Comput. Math. 70, No. 1, 35-45 (1998). Reviewer: Nelli Dimitrova (Sofia) MSC: 65F10 65F50 65F35 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Int. J. Comput. Math. 70, No. 1, 35--45 (1998; Zbl 0933.65031) Full Text: DOI
Lipitakis, E. A.; Gravvanis, G. A. Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. (English) Zbl 0823.65033 Computing 54, No. 2, 167-183 (1995). Reviewer: J.Zítko (Praha) MSC: 65F10 65F35 65F50 65M60 35K15 PDFBibTeX XMLCite \textit{E. A. Lipitakis} and \textit{G. A. Gravvanis}, Computing 54, No. 2, 167--183 (1995; Zbl 0823.65033) Full Text: DOI
Lipitakis, Elias A.; Gravvanis, George A. A class of explicit preconditioned conjugate gradient methods for solving large finite element systems. (English) Zbl 0765.65040 Int. J. Comput. Math. 44, No. 1-4, 189-206 (1992). Reviewer: H.R.Schwarz (Zürich) MSC: 65F10 65F35 65N30 65F50 PDFBibTeX XMLCite \textit{E. A. Lipitakis} and \textit{G. A. Gravvanis}, Int. J. Comput. Math. 44, No. 1--4, 189--206 (1992; Zbl 0765.65040) Full Text: DOI