Linear stationary iterative methods for the force-based quasicontinuum approximation
Luskin, Mitchell and Ortner, Christoph (2011) Linear stationary iterative methods for the force-based quasicontinuum approximation. In: Engquist, Björn and Runborg, Olof and Tsai, Yen-Hsi R., (eds.) Numerical Analysis of Multiscale Computations. Lecture notes in computational science and engineering, Vol.82 . Berlin : Heidelberg: Springer, pp. 331-368. ISBN 9783642219429Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/978-3-642-21943-6_14
Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy. They are also the only known pointwise consistent methods for coupling a general atomistic model to a finite element continuum model. However, the development of efficient and reliable iterative solution methods for the force-based approximation presents a challenge due to the non-symmetric and indefinite structure of the linearized force-based quasicontinuum approximation, as well as to its unusual stability properties. In this paper, we present rigorous numerical analysis and computational experiments to systematically study the stability and convergence rate for a variety of linear stationary iterative methods.
|Item Type:||Book Item|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Series Name:||Lecture notes in computational science and engineering|
|Place of Publication:||Berlin : Heidelberg|
|Book Title:||Numerical Analysis of Multiscale Computations|
|Editor:||Engquist, Björn and Runborg, Olof and Tsai, Yen-Hsi R.|
|Page Range:||pp. 331-368|
|Access rights to Published version:||Restricted or Subscription Access|
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