Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems
作者： L. Marcinkowski , T. Rahman , A. Loneland , J. Valdman
DOI: 10.1007/S10543-015-0581-X
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摘要: A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a class of finite volume element discretization of the symmetric …
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A. Loneland, L. Marcinkowski, T. Rahman, Additive average Schwarz method for a Crouzeix–Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients Numerische Mathematik. ,vol. 134, pp. 91- 118 ,(2016) , 10.1007/S00211-015-0771-0
Dietrich Braess, Finite Elements Cambridge University Press. ,(2007) , 10.1017/CBO9780511618635
Tarek Poonithara Abraham Mathew, Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations ,(2008)
L. Ridgway Scott, Susanne C Brenner, The Mathematical Theory of Finite Element Methods ,(2007)
William D. Gropp, Barry F. Smith, Petter E. Bjørstad, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations ,(1996)
Andrea Toselli, Olof B. Widlund, Domain decomposition methods : algorithms and theory Published in <b>2005</b> in Berlin by Springer. ,(2005) , 10.1007/B137868
Chunjia Bi, Victor Ginting, A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem Numerische Mathematik. ,vol. 114, pp. 107- 132 ,(2009) , 10.1007/S00211-009-0247-1
Marcus Sarkis, Daniel B. Szyld, Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms Computer Methods in Applied Mechanics and Engineering. ,vol. 196, pp. 1612- 1621 ,(2007) , 10.1016/J.CMA.2006.03.027
J. M. Nordbotten, P. E. Bjørstad, On the relationship between the multiscale finite-volume method and domain decomposition preconditioners Computational Geosciences. ,vol. 12, pp. 367- 376 ,(2008) , 10.1007/S10596-007-9066-6
T. Chartier, R. D. Falgout, V. E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, P. S. Vassilevski, Spectral AMGe ($\rho$AMGe) SIAM Journal on Scientific Computing. ,vol. 25, pp. 1- 26 ,(2003) , 10.1137/S106482750139892X