A Scala prototype to generate multigrid solver implementations for different problems and target multi-core platforms
by Harald Köstler; Christian Schmitt; Sebastian Kuckuk; Stefan Kronawitter; Frank Hannig; Jürgen Teich; Ulrich Rüde; Christian Lengauer
International Journal of Computational Science and Engineering (IJCSE), Vol. 14, No. 2, 2017

Abstract: Many problems in computational science and engineering involve partial differential equations and thus require the numerical solution of large, sparse (non)linear systems of equations. Multigrid is known to be one of the most efficient methods for this purpose. However, the concrete multigrid algorithm and its implementation depend highly on the underlying problem and hardware. Therefore, changes in the code or many different variants are necessary to cover all relevant cases. We report on a prototype implementation in Scala for a framework that enables abstract descriptions of PDEs, their discretisation, and their numerical solution via multigrid algorithms. From these, data structures and implementations of multigrid components required to solve elliptic PDEs on structured grids can be generated automatically. Two different test problems illustrate the potential of our approach for both CPU and GPU target platforms.

Online publication date: Wed, 15-Mar-2017

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computational Science and Engineering (IJCSE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com