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GPU Computing Gems Jade Edition by Wen-mei W. Hwu

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Chapter 16

Application of Assembly of Finite Element Methods on Graphics Processors for Real-Time Elastodynamics

Cris Cecka, Adrian Lew and Eric Darve

In this chapter, we discuss multiple strategies to perform general computations on unstructured grids, with specific application to the assembly of matrices in finite element methods (FEMs). We review and apply two methods, discussed in depth in [1], for assembly of FEMs to produce and accelerate a FEM model for a nonlinear hyperelastic solid where the assembly, solution, update, and visualization stages are performed solely on the GPU, benefiting from speed-ups in each stage and avoiding costly GPU-CPU transfers of data. For each method, we discuss the NVIDIA GPU hardware’s limiting resources, ...

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