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- W2000835500 abstract "A new algorithm is developed to evaluate the time convolution integrals that are associated with boundary element methods (BEM) for transient diffusion. This approach, which is based upon the multi-level multi-integration concepts of Brandt and Lubrecht, provides a fast, accurate and memory efficient time domain method for this entire class of problems. Conventional BEM approaches result in operation counts of order O(N2) for the discrete time convolution over N time steps. Here we focus on the formulation for linear problems of transient heat diffusion and demonstrate reduced computational complexity to order O(N3/2) for three two-dimensional model problems using the multi-level convolution BEM. Memory requirements are also significantly reduced, while maintaining the same level of accuracy as the conventional time domain BEM approach. Copyright © 2005 John Wiley & Sons, Ltd." @default.
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- W2000835500 date "2005-01-01" @default.
- W2000835500 modified "2023-09-23" @default.
- W2000835500 title "A fast multi-level convolution boundary element method for transient diffusion problems" @default.
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- W2000835500 doi "https://doi.org/10.1002/nme.1253" @default.
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