Artículo
Impact of element-level static condensation on iterative solver performance
Pardo, David; Álvarez Aramberri, Julen; Zwieniecki, Maciej; Dalcin, Lisandro Daniel
; Calo, Orlando Victorio
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Fecha de publicación:
11/2015
Editorial:
Pergamon-Elsevier Science Ltd
Revista:
Computers & Mathematics With Applications (1987)
ISSN:
0898-1221
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
This paper provides theoretical estimates that quantify and clarify the savings associated to the use of element-level static condensation as a first step of an iterative solver. These estimates are verified numerically. The numerical evidence shows that static condensation at the element level is beneficial for higher-order methods. For lower-order methods or when the number of iterations required for convergence is low, the setup cost of the elimination as well as its implementation may offset the benefits obtained during the iteration process. However, as the iteration count (e.g., above 50) or the polynomial order (e.g., above cubics) grows, the benefits of element-level static condensation are significant.
Palabras clave:
Finite Element Method
,
Iterative Solvers
,
P-Fem
,
Static Condensation
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CIMEC)
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Citación
Pardo, David; Álvarez Aramberri, Julen; Zwieniecki, Maciej; Dalcin, Lisandro Daniel; Calo, Orlando Victorio; Impact of element-level static condensation on iterative solver performance; Pergamon-Elsevier Science Ltd; Computers & Mathematics With Applications (1987); 70; 10; 11-2015; 2331-2341
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