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This research aims to develop an efficient method for parallel finite element solutions of equilibrium equations by utilizing domain decomposition.

A method of finite element tearing and interconnecting and its parallel solution algorithm

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This research aims to develop an efficient method for parallel finite element solutions of equilibrium equations by utilizing domain decomposition.
A novel domain decomposition approach partitions the spatial domain into disconnected subdomains for parallel processing.
Lagrange multipliers enforce compatibility at the interfaces of subdomains, resolving issues related to local singularities.
A parallel conjugate projected gradient algorithm is implemented to solve the coupled system of local modes and multipliers.
The proposed method reduces interprocessor communications compared to classical substructuring methods.
It demonstrates a level of parallelism not restricted by the bandwidth of finite element equations.
The implementation on local memory multiprocessors shows enhanced computational efficiency.

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Randomized trial presents a new method for finite element solutions in parallel computing, suggesting improved efficiency.

Farhat et al. (1991) studied this question.

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