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A survey on direct solvers for Galerkin methods
(Sociedad Española de Matemática Aplicada, 2012-01)
In this paper we describe the history, performance, and design concepts of direct solvers for algebraic systems resulting from Galerkin discretizations of partial differential equations. Popular direct solver implementations ...
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
(Elsevier Science Sa, 2012-03)
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that ...
Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines
(Elsevier Science Sa, 2015-02)
This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal direct solver executed on parallel distributed memory machines. We show theoretically that for the Cp-1 global continuity ...
On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
(John Wiley & Sons Ltd, 2014-11)
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods for partial differential equations in the asymptotic regime. We define a metric to identify when numerical experiments have ...
Adaptive Antenna and Radio Front-End for Full-Duplex Mobile Communications
(Universidad Nacional de Colombia - Sede Bogotá, 2018-09-01)
La comunicación In-Band-Full-Duplex (IBFD) se refiere a un sistema capaz de soportar la transmisión simultánea de datos a través de la misma banda de frecuencia. Este modo de operación particular surge como una solución ...
Diseño de bombas centrífugas utilizando el método de optimización topológica y computación paralela en la nube
(Universidad Nacional de ColombiaMedellín - Minas - Maestría en Ingeniería MecánicaDepartamento de Ingeniería MecánicaFacultad de MinasMedellín, ColombiaUniversidad Nacional de Colombia - Sede Medellín, 2021-12-14)
Este trabajo se focaliza específicamente en bombas centrífugas de flujo radial, cuya componente de velocidad axial no es considerada en comparación con las velocidades tangenciales y radiales, dando lugar al diseño de ...