Edit Profile (opens in new tab) Gravvanis, George A. Compute Distance To: Compute Author ID: gravvanis.george-a Published as: Gravvanis, George A.; Gravvanis, G. A.; Gravvanis, George more...less External Links: ORCID Documents Indexed: 80 Publications since 1991 6 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 27 Co-Authors with 54 Joint Publications 275 Co-Co-Authors all top 5 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. all top 5 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 all top 5 Fields 77 Numerical analysis (65-XX) 36 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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 170 times in 57 Documents Cited by ▼ Year ▼ An approximate inverse matrix technique for arrowhead matrices. Zbl 0933.65031Gravvanis, George A. 12 1998 The rate of convergence of explicit approximate inverse preconditioning. Zbl 1001.65521Gravvanis, George A. 12 1996 Explicit approximate inverse preconditioning techniques. Zbl 1032.65046Gravvanis, G. A. 11 2002 High performance inverse preconditioning. Zbl 1172.65019Gravvanis, George A. 10 2009 An explicit sparse unsymmetric finite element solver. Zbl 0842.65014Gravvanis, G. A.; Lipitakis, A. 8 1996 A class of explicit preconditioned conjugate gradient methods for solving large finite element systems. Zbl 0765.65040Lipitakis, Elias A.; Gravvanis, George A. 8 1992 Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. Zbl 0823.65033Lipitakis, E. A.; Gravvanis, G. A. 7 1995 An efficient method for computing the inverse of arrowhead matrices. Zbl 1314.65041Saberi Najafi, H.; Edalatpanah, S. A.; Gravvanis, G. A. 7 2014 A three-dimensional explicit preconditioned solver. Zbl 0858.65037Gravvanis, G. A.; Lipitakis, E. A. 6 1996 Parallel exact and approximate arrow-type inverses on symmetric multiprocessor systems. Zbl 1155.65332Gravvanis, George A.; Giannoutakis, Konstantinos M. 6 2006 Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning. Zbl 1015.65015Gravvanis, George A. 6 2002 Explicit preconditioned methods for solving 3D boundary-value problems by approximate inverse finite element matrix techniques. Zbl 0846.65009Gravvanis, George A. 6 1995 On the performance of parallel approximate inverse preconditioning using Java multithreading techniques. Zbl 1122.65320Gravvanis, George A.; Epitropou, Victor N.; Giannoutakis, Konstantinos M. 5 2007 Explicit isomorphic iterative methods for solving arrow-type linear systems. Zbl 0955.65023Gravvanis, George A. 4 2000 High performance finite element approximate inverse preconditioning. Zbl 1148.65021Giannoutakis, Konstantinos M.; Gravvanis, George A. 4 2008 On the solution of boundary value problems by using fast generalized approximate inverse banded matrix techniques. Zbl 1038.68153Gravvanis, George A. 4 2003 Generic approximate sparse inverse matrix techniques. Zbl 1359.65042Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 4 2014 Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. Zbl 1109.65039Gravvanis, George A.; Giannoutakis, Konstantinos M. 3 2006 Approximate inverse banded matrix techniques. Zbl 0947.65030Gravvanis, George A. 3 1999 Domain decomposition-finite difference approximate inverse preconditioned schemes for solving fourth-order equations. Zbl 1016.65098Gravvanis, George A. 3 2002 A two-phase cyclic nonhomogeneous Markov chain performability evaluation by explicit approximate inverses applied to a replicated database system. Zbl 1041.60067Platis, A. N.; Gravvanis, G. A.; Giannoutakis, K. M.; Lipitakis, E. A. 3 2003 Explicit preconditioned generalized domain decomposition methods. Zbl 1051.65120Gravvanis, George A. 3 2000 Fast parallel finite element approximate inverses. Zbl 1232.65053Gravvanis, G. A.; Giannoutakis, K. M. 2 2008 On the multigrid method based on finite difference approximate inverses. Zbl 1357.65296Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 2 2013 Generalized approximate inverse finite element matrix techniques. Zbl 0948.65031Gravvanis, George A. 2 1999 OpenMP based parallel normalized direct methods for sparse finite element linear systems. Zbl 1187.65045Gravvanis, George A. 2 2009 Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous Markov modeling. Zbl 1163.90788Koutras, V. P.; Platis, A. N.; Gravvanis, G. A. 2 2009 Normalized explicit finite element approximate inverses. Zbl 1045.65102Gravvanis, George A.; Giannoutakis, Konstantinos M. 2 2002 Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. Zbl 1051.65102Gravvanis, George A. 2 2000 A distributed normalized explicit preconditioned conjugate gradient method. Zbl 1091.65031Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M. 2 2004 Parallel preconditioned algorithms for solving special tridiagonal systems. Zbl 0992.65026Gravvanis, George A. 2 2001 A class of unified transform techniques for solving linear elliptic PDEs in convex polygons. Zbl 1394.65154Grylonakis, E. N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. 1 2018 Dependability evaluation using explicit approximate inverse preconditioning. Zbl 1028.60069Platis, Agapios N.; Gravvanis, George A. 1 2002 Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I. 1 2014 Explicit preconditioned conjugate gradient schemes for solving biharmonic equations. Zbl 0960.65115Gravvanis, George A. 1 2000 The numerical solution of large finite element systems by explicit preconditioning semi-direct methods. Zbl 0810.65101Lipitakis, Elias A.; Gravvanis, George A. 1 1991 A three-dimensional symmetric linear equation solver. Zbl 0812.65016Gravvanis, George A. 1 1994 Java multithreading-based parallel approximate arrow-type inverses. Zbl 1187.65030Gravvanis, George A.; Epitropou, Victor N. 1 2008 Preconditioned iterative methods for solving 3D boundary value problems. Zbl 0930.65026Gravvanis, George A. 1 1999 Domain decomposition approximate inverse matrix techniques. Zbl 0996.65033Gravvanis, George A. 1 2000 Parallel implicit preconditioned conjugate gradient methods for solving biharmonic equations. Zbl 1060.65123Gravvanis, G. A.; Bekakos, M. P.; Efremides, O. B. 1 2004 Parallel Schur complement techniques based on multiprojection methods. Zbl 1395.65009Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 1 2018 Explicit approximate inverse finite element preconditioning for solving biharmonic equations. Zbl 0989.65136Gravvanis, George A. 1 2000 Software rejuvenation for resource optimization based on explicit approximate inverse preconditioning. Zbl 1127.68021Koutras, Vasilis P.; Platis, Agapios N.; Gravvanis, George A. 1 2007 Parallel and systolic solution of normalized explicit approximate inverse preconditioning. Zbl 1074.65037Gravvanis, G. A.; Giannoutakis, K. M.; Bekakos, M. P.; Efremides, O. B. 1 2004 On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. Zbl 1083.65102Gravvanis, George A.; Giannoutakis, Konstantinos M. 1 2004 A note on parallel finite difference approximate inverse preconditioning on multicore systems using POSIX threads. Zbl 1359.65232Gravvanis, G. A.; Filelis-Papadopoulos, C. K.; Giannoutakis, K. M.; Lipitakis, E. A. 1 2013 An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform. Zbl 07042020Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.; Fokas, A. S. 1 2019 An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform. Zbl 07042020Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.; Fokas, A. S. 1 2019 A class of unified transform techniques for solving linear elliptic PDEs in convex polygons. Zbl 1394.65154Grylonakis, E. N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. 1 2018 Parallel Schur complement techniques based on multiprojection methods. Zbl 1395.65009Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 1 2018 An efficient method for computing the inverse of arrowhead matrices. Zbl 1314.65041Saberi Najafi, H.; Edalatpanah, S. A.; Gravvanis, G. A. 7 2014 Generic approximate sparse inverse matrix techniques. Zbl 1359.65042Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 4 2014 Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I. 1 2014 On the multigrid method based on finite difference approximate inverses. Zbl 1357.65296Filelis-Papadopoulos, Christos K.; Gravvanis, George A. 2 2013 A note on parallel finite difference approximate inverse preconditioning on multicore systems using POSIX threads. Zbl 1359.65232Gravvanis, G. A.; Filelis-Papadopoulos, C. K.; Giannoutakis, K. M.; Lipitakis, E. A. 1 2013 High performance inverse preconditioning. Zbl 1172.65019Gravvanis, George A. 10 2009 OpenMP based parallel normalized direct methods for sparse finite element linear systems. Zbl 1187.65045Gravvanis, George A. 2 2009 Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous Markov modeling. Zbl 1163.90788Koutras, V. P.; Platis, A. N.; Gravvanis, G. A. 2 2009 High performance finite element approximate inverse preconditioning. Zbl 1148.65021Giannoutakis, Konstantinos M.; Gravvanis, George A. 4 2008 Fast parallel finite element approximate inverses. Zbl 1232.65053Gravvanis, G. A.; Giannoutakis, K. M. 2 2008 Java multithreading-based parallel approximate arrow-type inverses. Zbl 1187.65030Gravvanis, George A.; Epitropou, Victor N. 1 2008 On the performance of parallel approximate inverse preconditioning using Java multithreading techniques. Zbl 1122.65320Gravvanis, George A.; Epitropou, Victor N.; Giannoutakis, Konstantinos M. 5 2007 Software rejuvenation for resource optimization based on explicit approximate inverse preconditioning. Zbl 1127.68021Koutras, Vasilis P.; Platis, Agapios N.; Gravvanis, George A. 1 2007 Parallel exact and approximate arrow-type inverses on symmetric multiprocessor systems. Zbl 1155.65332Gravvanis, George A.; Giannoutakis, Konstantinos M. 6 2006 Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. Zbl 1109.65039Gravvanis, George A.; Giannoutakis, Konstantinos M. 3 2006 A distributed normalized explicit preconditioned conjugate gradient method. Zbl 1091.65031Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M. 2 2004 Parallel implicit preconditioned conjugate gradient methods for solving biharmonic equations. Zbl 1060.65123Gravvanis, G. A.; Bekakos, M. P.; Efremides, O. B. 1 2004 Parallel and systolic solution of normalized explicit approximate inverse preconditioning. Zbl 1074.65037Gravvanis, G. A.; Giannoutakis, K. M.; Bekakos, M. P.; Efremides, O. B. 1 2004 On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. Zbl 1083.65102Gravvanis, George A.; Giannoutakis, Konstantinos M. 1 2004 On the solution of boundary value problems by using fast generalized approximate inverse banded matrix techniques. Zbl 1038.68153Gravvanis, George A. 4 2003 A two-phase cyclic nonhomogeneous Markov chain performability evaluation by explicit approximate inverses applied to a replicated database system. Zbl 1041.60067Platis, A. N.; Gravvanis, G. A.; Giannoutakis, K. M.; Lipitakis, E. A. 3 2003 Explicit approximate inverse preconditioning techniques. Zbl 1032.65046Gravvanis, G. A. 11 2002 Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning. Zbl 1015.65015Gravvanis, George A. 6 2002 Domain decomposition-finite difference approximate inverse preconditioned schemes for solving fourth-order equations. Zbl 1016.65098Gravvanis, George A. 3 2002 Normalized explicit finite element approximate inverses. Zbl 1045.65102Gravvanis, George A.; Giannoutakis, Konstantinos M. 2 2002 Dependability evaluation using explicit approximate inverse preconditioning. Zbl 1028.60069Platis, Agapios N.; Gravvanis, George A. 1 2002 Parallel preconditioned algorithms for solving special tridiagonal systems. Zbl 0992.65026Gravvanis, George A. 2 2001 Explicit isomorphic iterative methods for solving arrow-type linear systems. Zbl 0955.65023Gravvanis, George A. 4 2000 Explicit preconditioned generalized domain decomposition methods. Zbl 1051.65120Gravvanis, George A. 3 2000 Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. Zbl 1051.65102Gravvanis, George A. 2 2000 Explicit preconditioned conjugate gradient schemes for solving biharmonic equations. Zbl 0960.65115Gravvanis, George A. 1 2000 Domain decomposition approximate inverse matrix techniques. Zbl 0996.65033Gravvanis, George A. 1 2000 Explicit approximate inverse finite element preconditioning for solving biharmonic equations. Zbl 0989.65136Gravvanis, George A. 1 2000 Approximate inverse banded matrix techniques. Zbl 0947.65030Gravvanis, George A. 3 1999 Generalized approximate inverse finite element matrix techniques. Zbl 0948.65031Gravvanis, George A. 2 1999 Preconditioned iterative methods for solving 3D boundary value problems. Zbl 0930.65026Gravvanis, George A. 1 1999 An approximate inverse matrix technique for arrowhead matrices. Zbl 0933.65031Gravvanis, George A. 12 1998 The rate of convergence of explicit approximate inverse preconditioning. Zbl 1001.65521Gravvanis, George A. 12 1996 An explicit sparse unsymmetric finite element solver. Zbl 0842.65014Gravvanis, G. A.; Lipitakis, A. 8 1996 A three-dimensional explicit preconditioned solver. Zbl 0858.65037Gravvanis, G. A.; Lipitakis, E. A. 6 1996 Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. Zbl 0823.65033Lipitakis, E. A.; Gravvanis, G. A. 7 1995 Explicit preconditioned methods for solving 3D boundary-value problems by approximate inverse finite element matrix techniques. Zbl 0846.65009Gravvanis, George A. 6 1995 A three-dimensional symmetric linear equation solver. Zbl 0812.65016Gravvanis, George A. 1 1994 A class of explicit preconditioned conjugate gradient methods for solving large finite element systems. Zbl 0765.65040Lipitakis, Elias A.; Gravvanis, George A. 8 1992 The numerical solution of large finite element systems by explicit preconditioning semi-direct methods. Zbl 0810.65101Lipitakis, Elias A.; Gravvanis, George A. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 76 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 Attia, Raghda A. M. 1 Auteri, Franco 1 Beik, Fatemeh Panjeh Ali 1 Bergamaschi, Luca 1 Carpentieri, Bruno 1 Carrasco, Olivera D. 1 Chen, Ke 1 Chiarini, Alessandro 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 Huang, Lei 1 Huang, Na 1 Huang, Zhen-En 1 Irion, Klaus L. 1 Jain, Madhu 1 Jing, Yanfei 1 Jovović, Ivana V. 1 Juncu, Gheorghe 1 Kalimeris, Konstantinos 1 Katsikis, Vasilios N. 1 Kharoufeh, Jeffrey P. 1 Khater, Mostafa M. A. 1 Khojasteh Salkuyeh, Davod 1 Kirytopoulos, Konstantinos 1 Kolundžija, Dejan 1 Leopoulos, Vrassidas-Ioannis 1 Li, Jingzhi 1 Lipitakis, Alexandra 1 Lipitakis, Elias A. 1 Liu, Zhongxian 1 Lu, Dianchen 1 Manguoglu, Murat 1 Manjula, Taduru 1 Matskanidis, Paschalis I. 1 Meng, Si-Bo 1 Missirlis, Nikolaos M. 1 Moutafis, Byron E. 1 Nolan, Tui H. 1 Oxley, Mark E. 1 Park, Choonkil 1 Pickmann-Soto, H. 1 Pikle, Nileshchandra K. 1 Pini, Giorgio 1 Quadrio, Maurizio 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 1 Zhang, Fujie 1 Zhang, Zheng all top 5 Cited in 33 Serials 7 International Journal of Computer Mathematics 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Engineering Computations 2 European Journal of Operational Research 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Archives of Computational Methods in Engineering 2 International Journal of Computational Methods 1 Journal of Computational Physics 1 International Journal for Numerical Methods in Engineering 1 Facta Universitatis. Series Mathematics and Informatics 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 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 Advances in Difference Equations 1 Proyecciones 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 16 Fields 46 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year