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Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
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The performance of different algorithms is compared and discussed. The resulting hardware design will be suitable for platforms ranging from single board add-ins for general PCs to reconfigurable supercomputers such as the Cray XD1.
However, the principal aim in this research has been to seek methods that perform well on low-cost platforms. Domain decomposition is used to take advantage of the embedded memory within the FPGA, which is used as a cache to store the data for the current sub-domain in order to eliminate communication and synchronization delays between the sub-domains and to support a very large number of parallel pipelines.
TMA4220 Numerical Solution of Partial Differential Equations Using Element Methods -- Autumn 2018
The 32 bit floating-point hardware-software coprocessor for the 3D tetrahedral finite element problem with 48, elements using the preconditioned conjugate gradient method can achieve a speed-up of 40 for a single FPGA board based on a Virtex4VLX FPGA compared to a software solution. Downloads Downloads per month over past year. Civil engineering General.