A Scala Prototype to Generate Multigrid Solver Implementations for Different Problems and Target Multi-Core Platforms
Author(s): Köstler H, Schmitt C, Kuckuk S, Kronawitter S, Hannig F, Teich J, Rüde U, Lengauer C
Publisher: Inderscience Enterprises
Publication year: 2017
Journal issue: 2
Pages range: 150-163
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 highly depend on the underlying problem and hardware. Therefore, changes in the code or many different variants are necessary to cover all relevant cases. In this article we provide a prototype implementation in Scala for a framework that allows abstract descriptions of PDEs, their discretization, and their numerical solution via multigrid algorithms. From these, one is able to generate data structures and implementations of multigrid components required to solve elliptic PDEs on structured grids. Two different test problems showcase our proposed automatic generation of multigrid solvers for both CPU and GPU target platforms.
FAU Authors / FAU Editors How to cite
APA: Köstler, H., Schmitt, C., Kuckuk, S., Kronawitter, S., Hannig, F., Teich, J.,... Lengauer, C. (2017). A Scala Prototype to Generate Multigrid Solver Implementations for Different Problems and Target Multi-Core Platforms. International Journal of Computational Science and Engineering, 14(2), 150-163.
MLA: Köstler, Harald, et al. "A Scala Prototype to Generate Multigrid Solver Implementations for Different Problems and Target Multi-Core Platforms." International Journal of Computational Science and Engineering 14.2 (2017): 150-163.