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Programming the Finite Element Method

Programming the Finite Element Method

Published 4 weeks ago
Description
A comprehensive guide to building modular computer programs for engineering and scientific analysis. This textbook emphasizes a "building block" strategy, utilizing a vast library of FORTRAN subroutines to solve complex partial differential equations through spatial discretisation. The text covers a wide range of applications, including static equilibrium, material non-linearity, and fluid flow, while adapting classic methods for modern high-performance hardware. Special attention is given to parallel processing, featuring the use of MPI libraries, GPUs, and cloud computing to handle large-scale three-dimensional problems. Additionally, the source details modern software integration for data visualisation using tools like ParaView to interpret results effectively. Overall, the work serves as both a theoretical foundation and a practical manual for developing portable and efficient numerical software.

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