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Texture-based GPU parallelization of isogeometric analysis
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School of Engineering |
Bachelor's thesis
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en
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34
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Abstract
Isogeometric analysis offers an approach to finite element analysis which uses non-rational uniform b-splines as basis functions. While isogeometric finite element methods have the potential to offer greater accuracy and robustness over their classical counterparts, these benefits come at a cost during the integration process. This thesis aims to reduce the total computational time through a novel approach to parallelizing the isogeometric finite element analysis process. A texture-based parallelization approach is developed and used to simulate the Cahn-Hilliard equation in one dimension. Furthermore, the technique parallelizes the whole analysis process, thereby minimizing any communication overhead arising from transferring data between the CPU and GPU during runtime. Lastly, the results of the parallel implementation are compared to other approaches for simulating the Cahn-Hilliard equation found in literature.
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Supervisor
St-Pierre, LucThesis advisor
Khakalo, SergeiKranzosch, Ole