<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Software development for applications in computational science and engineering has become complex in recent years. This is mainly due to the increasing parallelism and heterogeneity in modern computer architectures and to the more realistic physical and mathematical models that have to be processed. One idea to address this issue is to use code generation techniques. In contrast to manual implementations in a general-purpose computing language, they allow to integrate automatic code transforms to produce efficient code for different models and platforms. As an example the numerical solution of an elliptic partial differential equation via generated geometric multigrid solvers is considered. We present three code generation approaches for it and discuss their advantages and disadvantages with respect to performance, portability, and productivity.</p></abstract>

Software development for applications in computational science and engineering has become complex in recent years. This is mainly due to the increasing parallelism and heterogeneity in modern computer architectures and to the more realistic physical and mathematical models that have to be processed. One idea to address this issue is to use code generation techniques. In contrast to manual implementations in a general-purpose computing language, they allow to integrate automatic code transforms to produce efficient code for different models and platforms. As an example the numerical solution of an elliptic partial differential equation via generated geometric multigrid solvers is considered. We present three code generation approaches for it and discuss their advantages and disadvantages with respect to performance, portability, and productivity.

Code generation approaches for parallel geometric multigrid solvers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Code generation approaches for parallel geometric multigrid solvers"}

Software development for applications in computational science and engineering has become complex in recent years. This is mainly due to the increasing...

Code generation approaches for parallel geometric multigrid solvers

Published Online: Dec 28, 2020

Page range: 123 - 152

Received: Jul 10, 2019

Accepted: Dec 16, 2019

DOI: https://doi.org/10.2478/auom-2020-0038

Keywords
code generation, domain-specific languages, multigrid solvers, elliptic PDEs

© 2020 Harald Köstler et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Code generation approaches for parallel geometric multigrid solvers

Published Online: Dec 28, 2020

Page range: 123 - 152

Received: Jul 10, 2019

Accepted: Dec 16, 2019

DOI: https://doi.org/10.2478/auom-2020-0038

Keywordscode generation, domain-specific languages, multigrid solvers, elliptic PDEs

© 2020 Harald Köstler et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
code generation, domain-specific languages, multigrid solvers, elliptic PDEs