Naslov
Basic Iterative Algorithms of Numerical Linear Algebra as Building Blocks for Hybrid Adaptive Finite Element Methods

Autori
Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
Householder Symposium XVIII on Numerical Linear Algebra / Overton, Michael et. al. - Berkeley, CA : Lawrence Berkeley National Laboratory, 2011, 91-92

Skup
Householder Symposium XVIII

Mjesto i datum
Tahoe City (CA), Sjedinjene Američke Države, 12.06.2011. - 17.06.2011

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
adaptive finite element methods; convergence enhancement; non self-adjoint problems

Sažetak
Implementation and analysis of modern adaptive finite element procedures for the computation of eigenvalues of partial differential operators requires a fine interplay of techniques from approximation theory, analysis, linear algebra and discrete mathematics. Often computational effort spent on doing linear algebra tasks far outweighs the cumulative effort in performing other algorithmic steps. Yet, utilization of linear algebra is seldom optimized as an integral part the adaptive mesh refinement loop Compute -> Estimate -> Mark - > Refine. We extend our earlier analysis of the self-adjoint eigenvalue problem to a non-self adjoint convection diffusion type operator.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
It is an invitation only meeting

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