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As a domain decomposition implementation of the finite element method, the FETI-DPEM algorithm provides fully decoupled subdomain problems and an excellent numerical scalability, and thus is well suited for parallel computation.
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After the decomposition, the implementation of the proposed algorithm is performed in sub-bands.
Following this rationale, one can notice that, by using (35) to carry out successive kernel decompositions, an implementation composed of N (p−2) second-order kernels can always be obtained for a pth-order kernel.
Experiment results show twice the FLOPS comparing to common 2D decomposition MPI-only implementation method.
Discrete wavelet decomposition is an implementation of the wavelet transform using a set of predefined wavelet scales and translations and decomposes the signal into mutually orthogonal set of wavelets.
Recent work have demonstrated the plausibility of GPU SCC decomposition, but the implementation is inefficient due to insufficient consideration of the distinguishing GPU programming model, which leads to poor performance on irregular and sparse graphs.
This article describes the design of the molecular dynamics simulation module, which is based on a domain decomposition, and provides implementation details on the data and communication structure and how the code deals with the complexity of atom redistribution and load balancing.
The overset-grid approach is utilized as both a domain-decomposition paradigm for implementation of the algorithm on massively parallel machines and as a means for handling geometric complexity in the computational domain.
This paper presents high performance parallel Cholesky decomposition algorithms for GPU and FPGA implementation.
The key point of the algorithm lies in sequential search for a decomposition providing feasibility of implementation of the Free Block in one PAL-based logic block containing a limited number of product terms.
Our goal was to illustrate the implementation of decomposition methods that can be used to study disparities at any level of analysis.
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