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@article{BUMI_2005_8_8B_1_a1, author = {Pavarino, Luca F.}, title = {Domain decomposition methods and scientific computing applications}, journal = {Bollettino della Unione matematica italiana}, pages = {21--54}, publisher = {mathdoc}, volume = {Ser. 8, 8B}, number = {1}, year = {2005}, zbl = {1177.65181}, mrnumber = {1335656}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a1/} }
TY - JOUR AU - Pavarino, Luca F. TI - Domain decomposition methods and scientific computing applications JO - Bollettino della Unione matematica italiana PY - 2005 SP - 21 EP - 54 VL - 8B IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a1/ LA - en ID - BUMI_2005_8_8B_1_a1 ER -
Pavarino, Luca F. Domain decomposition methods and scientific computing applications. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 21-54. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a1/
[1] Special issue on Mapping and control of complex cardiac arrhythmias. Chaos 12 (3), 2002.
[2] Special issue on From excitable media to virtual cardiac tissue. Chaos Solit. Frac. 13 (8), 2002.
[3] Special issue on Biomedical and bioengineering computing. Comput. Visual. Sci. 4 (4), 2003.
[4] High resolution forward and inverse earthquake modeling on terascale computers. In Proceedings of SC2003 (Supercomputing Conference 2003), ACM/IEEE, 2003.
et al.,[5] Implicit-explicit methods for timedependent partial differential equations, SIAM J. Numer. Anal., 32 (3) (1995), 797-823. | MR | Zbl
- - ,[6] Über Schwarzsche Algorithmen in partiellen Differentialgleichungen der mathematischen Physik, ZAMM, 37 (7/8) (1957), 243-245. | MR | Zbl
,[7]
- - - - - , PETSc home page, http://www.mcs.anl.gov/petsc, 2001.[8] PETSc users manual, Technical Report ANL-95/11 - Revision 2.1.0, Argonne National Laboratory, 2001.
- - - ,[9] Spectral Methods, in Handbook of Numerical Analysis, Volume V: Techniques of Scientific Computing (Part 2), North-Holland, 1997, 209-485. | MR
- ,[10] Application of the FETI method to ASCI problems - scalability results on 1000 processors and discussion of highly heterogeneous problems, Int. J. Numer. Meth. Eng., 47 (1-3) (2000), 513-535. | Zbl
- - - - - ,[11] Mixed and Hybrid Finite Element Methods, Springer Series in Computational Mathematics, 15. Springer, New York, 1991. | MR | Zbl
- ,[12] Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. | MR | Zbl
- - - ,[13] Domain Decomposition Methods, Acta Numerica, (1994) 61-143. | MR | Zbl
- ,[14] A parallel solver for reaction-diffusion systems in computational electrocardiology, IMATI-CNR Tech. Rep. 9-PV, 2003, To appear in Math. Mod. Meth. Appl. Sci. | MR | Zbl
- ,[15] Degenerate evolution systems modeling the cardiac electric field at micro and macroscopic level. In A.Lorenzi and B.Ruf, Editors, Evolution equations, Semigroups and Functional Analysis, 49-78, Birkhauser, 2002. | MR | Zbl
- ,[16] Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions, SIAM J. Numer. Anal., 31 (1994), 1662-1694. | MR | Zbl
- - ,[17] Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems, Comm. Pure Appl. Math., 48 (1995), 121-155. | MR | Zbl
- ,[18] Implicit parallel processing in structural mechanics, Comput. Mech. Adv., 2 (1) (1994), 1-124. | MR | Zbl
- ,[19] Preventing ventricular fibrillation by flattening cardiac restitution, Proc. Nat. Acad. Sci. USA, 97 (11) (2000), 6061-6066.
- - - - - - - - ,[20] Balancing Neumann-Neumann Preconditioners for Mixed Approximations of Heterogeneous Problems in Linear Elasticity, Numer. Math., 95 (2) (2003), 283-324. | MR | Zbl
- - ,[21] I.HERRERA - D.KEYES - O.WIDLUND - R.YATES, Editors, Proceedings of the Fourteenth International Conference on Domain Decomposition Methods, UNAM, Mexico City, 2003. | MR | Zbl
[22] Mathematical Physiology, Springer-Verlag, 1998. | MR | Zbl
- ,[23] Terascale implicit methods for partial differential equations. In X.Feng and T. P.Schulze, Editors, Recent Advances in Numerical Methods for Partial Differential Equations and Applications, Contemporary Mathematics, 306, AMS (2002), 29-84. | MR | Zbl
,[24] R.KORNHUBER - R. H. W.HOPPE - D. E.KEYES - J.PERIAUX - O.PIRONNEAU - J.XU, Editors, Proceedings of the Fifteenth International Conference on Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, Springer, to appear, 2004. | Zbl
[25] Domain decomposition methods in computational mechanics, Comput. Mech. Adv., 1 (2) (1994), 121-220. | MR | Zbl
,[26] On the Schwarz alternating method. I. In First International Symposium on Domain Decomposition Methods for Partial Differential Equations, R.Glowinski et al., Editors, pp. 1-42, SIAM, Philadelphia, 1988. | MR | Zbl
,[27] A model of the ventricular cardiac action potential: depolarization, repolarization, and their interaction, Circ. Res., 68 (6) (1991), 1501-1526.
- ,[28] Balancing domain decomposition for problems with large jumps in coefficients, Math. Comp., 65 (1996), 1387-1401. | MR | Zbl
- ,[29] An adaptive finite element method for parabolic differential systems: some algorithmic considerations in solving in three space dimensions, SIAM J. Sci. Comput., 21 (4) (2000), 1567-1586. | MR | Zbl
,[30] A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions, SIAM J. Numer. Anal., 33 (4) (1996), 1303-1335. | MR | Zbl
- ,[31] Neumann-Neumann algorithms for spectral elements in three dimensions, RAIRO M²AN, 31 (1997), pp. 471-493. | fulltext mini-dml | MR | Zbl
,[32] L. F.PAVARINO - A.TOSELLI, Editors, Recent Developments in Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, vol. 23, Springer-Verlag, 2002. | MR | Zbl
[33] Iterative substructuring methods for spectral element discretizations of elliptic systems. II: Mixed methods for linear elasticity and Stokes flow, SIAM J. Numer. Anal., 37 (2000), 375-402. | MR | Zbl
- ,[34] Balancing Neumann-Neumann methods for incompressible Stokes equations, Comm. Pure Appl. Math., 55 (3) (2002), 302-335. | MR | Zbl
- ,[35] Numerical Approximation of Partial Differential Equations, Springer-Verlag, Berlin, 1994. | MR | Zbl
- ,[36] Domain Decomposition Methods for Partial Differential Equations, Oxford Science Publications, 1999. | MR | Zbl
- ,[37] Gesammelte Mathematische Abhandlungen, volume 2, pp. 133-143, Springer, 1890.
,[38] Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, 1996. | MR | Zbl
- - ,[39] Lalgorithme de Schwarz dans la théorie de lelasticité, Compt. Rend. Acad. Sci. URSS, IV (XIII 6) (1936), 243-246. | Zbl
,[40] Domain Decomposition Methods: Algorithms and Theory, Springer-Verlag, 2004. | Zbl
- ,[41] Fast parallel direct solvers for coarse grid problems, J. Paral. Distr. Comput., 61 (2) (2001), 151-177. | Zbl
- ,[42] Electrical turbulence in three-dimensional heart muscle, Science, 266 (5187) (1994), 1003-1006.
,[43] A local space-time adaptive scheme in solving two-dimensional parabolic problems based on domain decomposition methods, SIAM J. Sci. Comput., 23 (1) (2001), 304-322. | MR | Zbl
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