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Gravvanis, George A.

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 Author ID: gravvanis.george-a Published as: Gravvanis, George A.; Gravvanis, G. A.; Gravvanis, George External Links: ORCID
 Documents Indexed: 86 Publications since 1991, including 1 Book Reviewing Activity: 38 Reviews
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Co-Authors

 32 single-authored 17 Giannoutakis, Konstantinos M. 13 Filelis-Papadopoulos, Christos K. 10 Lipitakis, Elias A. 10 Platis, Agapios N. 4 Bekakos, Michael P. 4 Koutras, Vasilis P. 3 Arabnia, Hamid R. 3 Grylonakis, Eleftherios-Nektarios G. 2 Efremides, Odysseas B. 2 Epitropou, Victor N. 2 Kyziropoulos, Panagiotis E. 2 Matskanidis, Paschalis I. 2 Moutafis, Byron E. 1 Edalatpanah, Seyyed Ahmad 1 Fokas, Athanassios S. 1 Georgiadis, M. S. 1 Kolev, Dimitar A. 1 Lipitakis, Alexandra 1 Maglogiannis, Ilias G. 1 Mantas, J. G. 1 Missirlis, Nikolaos M. 1 Najafi, H. Saberi 1 Nenov, Svetoslav Ivanov 1 Santos, Eunice E. 1 Tselepidis, N. A. 1 Violentis, J. B. 1 Zafiropoulos, Elias P.
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Serials

 6 International Journal of Computer Mathematics 6 Neural, Parallel & Scientific Computations 6 International Journal of Differential Equations and Applications 5 The Journal of Supercomputing 5 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 5 JMMA. Journal of Mathematical Modelling and Algorithms 4 CMES. Computer Modeling in Engineering & Sciences 4 International Journal of Computational Methods 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Engineering Computations 2 Computers & Mathematics with Applications 2 Bulletin of the Greek Mathematical Society 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Parallel Algorithms and Applications 2 International Journal of Applied Mathematics 2 Archives of Computational Methods in Engineering 2 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Numerical Algorithms 1 European Journal of Operational Research 1 SIAM Journal on Scientific Computing 1 Applied Stochastic Models in Business and Industry 1 Concurrency and Computation: Practice & Experience 1 Computational Methods in Applied Mathematics
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Fields

 77 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 10 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operations research, mathematical programming (90-XX) 3 Potential theory (31-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

46 Publications have been cited 163 times in 51 Documents Cited by Year
The rate of convergence of explicit approximate inverse preconditioning. Zbl 1001.65521
Gravvanis, George A.
1996
An approximate inverse matrix technique for arrowhead matrices. Zbl 0933.65031
Gravvanis, George A.
1998
High performance inverse preconditioning. Zbl 1172.65019
Gravvanis, George A.
2009
Explicit approximate inverse preconditioning techniques. Zbl 1032.65046
Gravvanis, G. A.
2002
An explicit sparse unsymmetric finite element solver. Zbl 0842.65014
Gravvanis, G. A.; Lipitakis, A.
1996
A class of explicit preconditioned conjugate gradient methods for solving large finite element systems. Zbl 0765.65040
Lipitakis, Elias A.; Gravvanis, George A.
1992
Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. Zbl 0823.65033
Lipitakis, E. A.; Gravvanis, G. A.
1995
Explicit preconditioned methods for solving 3D boundary-value problems by approximate inverse finite element matrix techniques. Zbl 0846.65009
Gravvanis, George A.
1995
A three-dimensional explicit preconditioned solver. Zbl 0858.65037
Gravvanis, G. A.; Lipitakis, E. A.
1996
Parallel exact and approximate arrow-type inverses on symmetric multiprocessor systems. Zbl 1155.65332
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2006
An efficient method for computing the inverse of arrowhead matrices. Zbl 1314.65041
Saberi Najafi, H.; Edalatpanah, S. A.; Gravvanis, G. A.
2014
Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning. Zbl 1015.65015
Gravvanis, George A.
2002
On the performance of parallel approximate inverse preconditioning using Java multithreading techniques. Zbl 1122.65320
Gravvanis, George A.; Epitropou, Victor N.; Giannoutakis, Konstantinos M.
2007
On the solution of boundary value problems by using fast generalized approximate inverse banded matrix techniques. Zbl 1038.68153
Gravvanis, George A.
2003
High performance finite element approximate inverse preconditioning. Zbl 1148.65021
Giannoutakis, Konstantinos M.; Gravvanis, George A.
2008
Generic approximate sparse inverse matrix techniques. Zbl 1359.65042
Filelis-Papadopoulos, Christos K.; Gravvanis, George A.
2014
Explicit isomorphic iterative methods for solving arrow-type linear systems. Zbl 0955.65023
Gravvanis, George A.
2000
Domain decomposition-finite difference approximate inverse preconditioned schemes for solving fourth-order equations. Zbl 1016.65098
Gravvanis, George A.
2002
Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. Zbl 1109.65039
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2006
A two-phase cyclic nonhomogeneous Markov chain performability evaluation by explicit approximate inverses applied to a replicated database system. Zbl 1041.60067
Platis, A. N.; Gravvanis, G. A.; Giannoutakis, K. M.; Lipitakis, E. A.
2003
Explicit preconditioned generalized domain decomposition methods. Zbl 1051.65120
Gravvanis, George A.
2000
Approximate inverse banded matrix techniques. Zbl 0947.65030
Gravvanis, George A.
1999
OpenMP based parallel normalized direct methods for sparse finite element linear systems. Zbl 1187.65045
Gravvanis, George A.
2009
Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous Markov modeling. Zbl 1163.90788
Koutras, V. P.; Platis, A. N.; Gravvanis, G. A.
2009
Parallel preconditioned algorithms for solving special tridiagonal systems. Zbl 0992.65026
Gravvanis, George A.
2001
Normalized explicit finite element approximate inverses. Zbl 1045.65102
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2002
Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. Zbl 1051.65102
Gravvanis, George A.
2000
A distributed normalized explicit preconditioned conjugate gradient method. Zbl 1091.65031
Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M.
2004
Fast parallel finite element approximate inverses. Zbl 1232.65053
Gravvanis, G. A.; Giannoutakis, K. M.
2008
Generalized approximate inverse finite element matrix techniques. Zbl 0948.65031
Gravvanis, George A.
1999
Java multithreading-based parallel approximate arrow-type inverses. Zbl 1187.65030
Gravvanis, George A.; Epitropou, Victor N.
2008
A three-dimensional symmetric linear equation solver. Zbl 0812.65016
Gravvanis, George A.
1994
Preconditioned iterative methods for solving 3D boundary value problems. Zbl 0930.65026
Gravvanis, George A.
1999
The numerical solution of large finite element systems by explicit preconditioning semi-direct methods. Zbl 0810.65101
Lipitakis, Elias A.; Gravvanis, George A.
1991
Parallel and systolic solution of normalized explicit approximate inverse preconditioning. Zbl 1074.65037
Gravvanis, G. A.; Giannoutakis, K. M.; Bekakos, M. P.; Efremides, O. B.
2004
On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. Zbl 1083.65102
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2004
Explicit preconditioned conjugate gradient schemes for solving biharmonic equations. Zbl 0960.65115
Gravvanis, George A.
2000
Domain decomposition approximate inverse matrix techniques. Zbl 0996.65033
Gravvanis, George A.
2000
Software rejuvenation for resource optimization based on explicit approximate inverse preconditioning. Zbl 1127.68021
Koutras, Vasilis P.; Platis, Agapios N.; Gravvanis, George A.
2007
Explicit approximate inverse finite element preconditioning for solving biharmonic equations. Zbl 0989.65136
Gravvanis, George A.
2000
Dependability evaluation using explicit approximate inverse preconditioning. Zbl 1028.60069
Platis, Agapios N.; Gravvanis, George A.
2002
A class of unified transform techniques for solving linear elliptic PDEs in convex polygons. Zbl 1394.65154
Grylonakis, E. N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.
2018
On the multigrid method based on finite difference approximate inverses. Zbl 1357.65296
Filelis-Papadopoulos, Christos K.; Gravvanis, George A.
2013
Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101
Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I.
2014
A note on parallel finite difference approximate inverse preconditioning on multicore systems using POSIX threads. Zbl 1359.65232
Gravvanis, G. A.; Filelis-Papadopoulos, C. K.; Giannoutakis, K. M.; Lipitakis, E. A.
2013
Parallel implicit preconditioned conjugate gradient methods for solving biharmonic equations. Zbl 1060.65123
Gravvanis, G. A.; Bekakos, M. P.; Efremides, O. B.
2004
A class of unified transform techniques for solving linear elliptic PDEs in convex polygons. Zbl 1394.65154
Grylonakis, E. N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.
2018
An efficient method for computing the inverse of arrowhead matrices. Zbl 1314.65041
Saberi Najafi, H.; Edalatpanah, S. A.; Gravvanis, G. A.
2014
Generic approximate sparse inverse matrix techniques. Zbl 1359.65042
Filelis-Papadopoulos, Christos K.; Gravvanis, George A.
2014
Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101
Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I.
2014
On the multigrid method based on finite difference approximate inverses. Zbl 1357.65296
Filelis-Papadopoulos, Christos K.; Gravvanis, George A.
2013
A note on parallel finite difference approximate inverse preconditioning on multicore systems using POSIX threads. Zbl 1359.65232
Gravvanis, G. A.; Filelis-Papadopoulos, C. K.; Giannoutakis, K. M.; Lipitakis, E. A.
2013
High performance inverse preconditioning. Zbl 1172.65019
Gravvanis, George A.
2009
OpenMP based parallel normalized direct methods for sparse finite element linear systems. Zbl 1187.65045
Gravvanis, George A.
2009
Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous Markov modeling. Zbl 1163.90788
Koutras, V. P.; Platis, A. N.; Gravvanis, G. A.
2009
High performance finite element approximate inverse preconditioning. Zbl 1148.65021
Giannoutakis, Konstantinos M.; Gravvanis, George A.
2008
Fast parallel finite element approximate inverses. Zbl 1232.65053
Gravvanis, G. A.; Giannoutakis, K. M.
2008
Java multithreading-based parallel approximate arrow-type inverses. Zbl 1187.65030
Gravvanis, George A.; Epitropou, Victor N.
2008
On the performance of parallel approximate inverse preconditioning using Java multithreading techniques. Zbl 1122.65320
Gravvanis, George A.; Epitropou, Victor N.; Giannoutakis, Konstantinos M.
2007
Software rejuvenation for resource optimization based on explicit approximate inverse preconditioning. Zbl 1127.68021
Koutras, Vasilis P.; Platis, Agapios N.; Gravvanis, George A.
2007
Parallel exact and approximate arrow-type inverses on symmetric multiprocessor systems. Zbl 1155.65332
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2006
Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. Zbl 1109.65039
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2006
A distributed normalized explicit preconditioned conjugate gradient method. Zbl 1091.65031
Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M.
2004
Parallel and systolic solution of normalized explicit approximate inverse preconditioning. Zbl 1074.65037
Gravvanis, G. A.; Giannoutakis, K. M.; Bekakos, M. P.; Efremides, O. B.
2004
On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. Zbl 1083.65102
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2004
Parallel implicit preconditioned conjugate gradient methods for solving biharmonic equations. Zbl 1060.65123
Gravvanis, G. A.; Bekakos, M. P.; Efremides, O. B.
2004
On the solution of boundary value problems by using fast generalized approximate inverse banded matrix techniques. Zbl 1038.68153
Gravvanis, George A.
2003
A two-phase cyclic nonhomogeneous Markov chain performability evaluation by explicit approximate inverses applied to a replicated database system. Zbl 1041.60067
Platis, A. N.; Gravvanis, G. A.; Giannoutakis, K. M.; Lipitakis, E. A.
2003
Explicit approximate inverse preconditioning techniques. Zbl 1032.65046
Gravvanis, G. A.
2002
Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning. Zbl 1015.65015
Gravvanis, George A.
2002
Domain decomposition-finite difference approximate inverse preconditioned schemes for solving fourth-order equations. Zbl 1016.65098
Gravvanis, George A.
2002
Normalized explicit finite element approximate inverses. Zbl 1045.65102
Gravvanis, George A.; Giannoutakis, Konstantinos M.
2002
Dependability evaluation using explicit approximate inverse preconditioning. Zbl 1028.60069
Platis, Agapios N.; Gravvanis, George A.
2002
Parallel preconditioned algorithms for solving special tridiagonal systems. Zbl 0992.65026
Gravvanis, George A.
2001
Explicit isomorphic iterative methods for solving arrow-type linear systems. Zbl 0955.65023
Gravvanis, George A.
2000
Explicit preconditioned generalized domain decomposition methods. Zbl 1051.65120
Gravvanis, George A.
2000
Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. Zbl 1051.65102
Gravvanis, George A.
2000
Explicit preconditioned conjugate gradient schemes for solving biharmonic equations. Zbl 0960.65115
Gravvanis, George A.
2000
Domain decomposition approximate inverse matrix techniques. Zbl 0996.65033
Gravvanis, George A.
2000
Explicit approximate inverse finite element preconditioning for solving biharmonic equations. Zbl 0989.65136
Gravvanis, George A.
2000
Approximate inverse banded matrix techniques. Zbl 0947.65030
Gravvanis, George A.
1999
Generalized approximate inverse finite element matrix techniques. Zbl 0948.65031
Gravvanis, George A.
1999
Preconditioned iterative methods for solving 3D boundary value problems. Zbl 0930.65026
Gravvanis, George A.
1999
An approximate inverse matrix technique for arrowhead matrices. Zbl 0933.65031
Gravvanis, George A.
1998
The rate of convergence of explicit approximate inverse preconditioning. Zbl 1001.65521
Gravvanis, George A.
1996
An explicit sparse unsymmetric finite element solver. Zbl 0842.65014
Gravvanis, G. A.; Lipitakis, A.
1996
A three-dimensional explicit preconditioned solver. Zbl 0858.65037
Gravvanis, G. A.; Lipitakis, E. A.
1996
Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. Zbl 0823.65033
Lipitakis, E. A.; Gravvanis, G. A.
1995
Explicit preconditioned methods for solving 3D boundary-value problems by approximate inverse finite element matrix techniques. Zbl 0846.65009
Gravvanis, George A.
1995
A three-dimensional symmetric linear equation solver. Zbl 0812.65016
Gravvanis, George A.
1994
A class of explicit preconditioned conjugate gradient methods for solving large finite element systems. Zbl 0765.65040
Lipitakis, Elias A.; Gravvanis, George A.
1992
The numerical solution of large finite element systems by explicit preconditioning semi-direct methods. Zbl 0810.65101
Lipitakis, Elias A.; Gravvanis, George A.
1991
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Cited by 58 Authors

 29 Gravvanis, George A. 6 Filelis-Papadopoulos, Christos K. 6 Giannoutakis, Konstantinos M. 4 Platis, Agapios N. 3 Edalatpanah, Seyyed Ahmad 3 Koutras, Vasilis P. 3 Najafi, H. Saberi 3 Zhang, Jun 2 Epitropou, Victor N. 2 Huang, Ting-Zhu 2 Kyziropoulos, Panagiotis E. 2 Lee, Eunjoo 1 Arela, Pérez Susana 1 Beik, Fatemeh Panjeh Ali 1 Bergamaschi, Luca 1 Carpentieri, Bruno 1 Carrasco, Olivera D. 1 Clarke, Damian 1 Cox, Steven M. 1 Duan, Yong 1 Egaña, Juan C. 1 Fokas, Athanassios S. 1 Gambolati, Giuseppe 1 Gulati, Tilak Raj 1 Jain, Madhu 1 Jing, Yanfei 1 Juncu, Gheorghe 1 Kalimeris, Konstantinos 1 Katsikis, Vasilios N. 1 Kharoufeh, Jeffrey P. 1 Khojasteh Salkuyeh, Davod 1 Kirytopoulos, Konstantinos 1 Kolundžija, Dejan 1 Leopoulos, Vrassidas-Ioannis 1 Lipitakis, Alexandra 1 Lipitakis, Elias A. 1 Manguoglu, Murat 1 Manjula, Taduru 1 Matskanidis, Paschalis I. 1 Missirlis, Nikolaos M. 1 Moutafis, Byron E. 1 Nolan, Tui H. 1 Oxley, Mark E. 1 Pickmann-Soto, H. 1 Pikle, Nileshchandra K. 1 Pini, Giorgio 1 Ran, Ruisheng 1 Refahisheikhani, A. H. 1 Sathe, Shailesh R. 1 Sewell, Granville 1 Stanimirović, Predrag S. 1 Tselepidis, N. A. 1 Voulgaridou, Dimitra 1 Vyavhare, Arvind Y. 1 Wand, Matthew P. 1 Wang, Haitao 1 Wang, Pengbo 1 Yao, Zhenhan
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Cited in 30 Serials

 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 International Journal of Computer Mathematics 3 Journal of Computational and Applied Mathematics 3 Engineering Computations 2 European Journal of Operational Research 2 Computational and Applied Mathematics 2 Archives of Computational Methods in Engineering 2 International Journal of Computational Methods 1 International Journal for Numerical Methods in Engineering 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Economics Letters 1 The Journal of Supercomputing 1 Numerical Algorithms 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Parallel Algorithms and Applications 1 Applied Stochastic Models in Business and Industry 1 The ANZIAM Journal 1 Concurrency and Computation: Practice & Experience 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics 1 Sādhanā 1 Proyecciones 1 International Journal of Applied and Computational Mathematics
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Cited in 11 Fields

 42 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Fluid mechanics (76-XX) 2 Statistics (62-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX)