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pro vyhledávání: '"Mario A. Casarin"'
Autor:
Mario A. Casarin
Publikováno v:
Numerische Mathematik. 89:307-339
The $Q^N$- $Q^{N-2}$ spectral element discretization of the Stokes equation gives rise to an ill-conditioned, indefinite, symmetric linear system for the velocity and pressure degrees of freedom. We propose a domain decomposition method which involve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed3c0c802df59825fbaaa2c476cb8188
https://doi.org/10.1007/pl00005469
https://doi.org/10.1007/pl00005469
Autor:
Mario A. Casarin, Spencer J. Sherwin
Publikováno v:
Journal of Computational Physics. 171:394-417
The development and application of three-dimensional unstructured hierarchical spectral/ hp element algorithms has highlighted the need for efficient preconditioning for elliptic solvers. Building on the work of Bica (Ph.D. thesis, Courant Institute,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ed6d5490488796569bc9adb42f96c78
https://doi.org/10.1006/jcph.2001.6805
https://doi.org/10.1006/jcph.2001.6805
Publikováno v:
Domain Decomposition Methods 10. :391-399
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8831f493351538654c092fcd83a86654
https://doi.org/10.1090/conm/218/03034
https://doi.org/10.1090/conm/218/03034
Autor:
Mario A. Casarin
Publikováno v:
SIAM Journal on Numerical Analysis. 34:2482-2502
The spectral element method is used to discretize self-adjoint elliptic equations in three-dimensional domains. The domain is decomposed into hexahedral elements, and in each of the elements the discretization space is the set of polynomials of degre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8364b40cb81dcfc8ee3266cabe176f6c
https://doi.org/10.1137/s0036142995292281
https://doi.org/10.1137/s0036142995292281
Autor:
Mario A. Casarin
Publikováno v:
SIAM Journal on Scientific Computing. 18:610-620
Domain decomposition preconditioners for high-order Galerkin methods in two dimensions are often built from modules associated with the decomposition of the discrete space into subspaces of functions related to the interior of elements, individual ed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0e82d195681e7a1d420e4a0a0dcc4df
https://doi.org/10.1137/s1064827595292321
https://doi.org/10.1137/s1064827595292321