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2018 | OriginalPaper | Chapter

Adaptive Deluxe BDDC Mixed and Hybrid Primal Discretizations

Authors : Alexandre Madureira, Marcus Sarkis

Published in: Domain Decomposition Methods in Science and Engineering XXIV

Publisher: Springer International Publishing

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Abstract

Major progress has been made recently to make FETI-DP and BDDC preconditioners robust with respect to any variation of coefficients inside and/or across the subdomains.

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Literature
1.
go back to reference C. Farhat, I. Harari, L.P. Franca, The discontinuous enrichment method. Comput. Methods Appl. Mech. Eng. 190(48), 6455–6479 (2001)MathSciNetCrossRef C. Farhat, I. Harari, L.P. Franca, The discontinuous enrichment method. Comput. Methods Appl. Mech. Eng. 190(48), 6455–6479 (2001)MathSciNetCrossRef
2.
go back to reference J. Galvis, Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high-contrast media. Multiscale Model. Simul. 8(4), 1461–1483 (2010)MathSciNetCrossRef J. Galvis, Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high-contrast media. Multiscale Model. Simul. 8(4), 1461–1483 (2010)MathSciNetCrossRef
3.
go back to reference C. Harder, A. Madureira, F. Valentin, A hybrid-mixed method for elasticity. ESAIM Math. Model. Numer. Anal. 50(2), 311–336 (2016)MathSciNetCrossRef C. Harder, A. Madureira, F. Valentin, A hybrid-mixed method for elasticity. ESAIM Math. Model. Numer. Anal. 50(2), 311–336 (2016)MathSciNetCrossRef
4.
go back to reference A. Heinlein, U. Hetmaniuk, A. Klawonn, O. Rheinbach, The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results. J. Comput. Appl. Math. 289, 116–133 (2015)MathSciNetCrossRef A. Heinlein, U. Hetmaniuk, A. Klawonn, O. Rheinbach, The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results. J. Comput. Appl. Math. 289, 116–133 (2015)MathSciNetCrossRef
5.
go back to reference T.J.R. Hughes, Multiscale phenomena: green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Comput. Methods Appl. Mech. Eng. 127(1–4), 387–401 (1995)MathSciNetCrossRef T.J.R. Hughes, Multiscale phenomena: green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Comput. Methods Appl. Mech. Eng. 127(1–4), 387–401 (1995)MathSciNetCrossRef
8.
go back to reference A. Målqvist, P. Henning, F. Hellman, Multiscale mixed finite elements. Discret. Contin. Dyn. Syst. Ser. S 9(5), 1269–1298 (2016)MathSciNetCrossRef A. Målqvist, P. Henning, F. Hellman, Multiscale mixed finite elements. Discret. Contin. Dyn. Syst. Ser. S 9(5), 1269–1298 (2016)MathSciNetCrossRef
9.
go back to reference D.-S. Oh, O.B. Widlund, S. Zampini, C.R. Dohrmann, BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Math. Comput. 87, 659–692 (2018)MathSciNetCrossRef D.-S. Oh, O.B. Widlund, S. Zampini, C.R. Dohrmann, BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Math. Comput. 87, 659–692 (2018)MathSciNetCrossRef
10.
go back to reference D. Peterseim, R. Scheichl, Robust numerical upscaling of elliptic multiscale problems at high contrast. Comput. Methods Appl. Math. 16(4), 579–603 (2016)MathSciNetCrossRef D. Peterseim, R. Scheichl, Robust numerical upscaling of elliptic multiscale problems at high contrast. Comput. Methods Appl. Math. 16(4), 579–603 (2016)MathSciNetCrossRef
11.
go back to reference P.-A. Raviart, J.M. Thomas, Primal hybrid finite element methods for 2nd order elliptic equations. Math. Comput. 31(138), 391–413 (1977)MATH P.-A. Raviart, J.M. Thomas, Primal hybrid finite element methods for 2nd order elliptic equations. Math. Comput. 31(138), 391–413 (1977)MATH
12.
go back to reference S. Zampini, X. Tu, Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media. SIAM J. Sci. Comput. 39(4), 1389–1415 (2017)MathSciNetCrossRef S. Zampini, X. Tu, Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media. SIAM J. Sci. Comput. 39(4), 1389–1415 (2017)MathSciNetCrossRef
Metadata
Title
Adaptive Deluxe BDDC Mixed and Hybrid Primal Discretizations
Authors
Alexandre Madureira
Marcus Sarkis
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-93873-8_44

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