Výsledky vyhledávání - "Mario A. Casarin"

Schwarz preconditioners for the spectral element discretization of the steady Stokes and Navier-Stokes equations

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

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Low-Energy Basis Preconditioning for Elliptic Substructured Solvers Based on Unstructured Spectral/hp Element Discretization

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

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Overlapping Schwarz algorithms for solving Helmholtz’s equation

Autor: Xiao-Chuan Cai, Mario A. Casarin, Frank W. Elliott, Olof B. Widlund

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

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Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization

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

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Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods

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

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