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Domain decomposition methods (DDMs) are popular solvers for discretized systems of partial differential equations (PDEs), with one-level and multilevel variants.
A note on the generation of random normal deviates
Box, G. E · 1958
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Least squares quantization in PCM
Lloyd, S · 1982
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Iterative methods by space decomposition and subspace correction
Xu, J · 1992
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A restricted additive Schwarz preconditioner for general sparse linear systems
Cai, X.-C. and Sarkis, M · 1999
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Domain decomposition methods for partial differential equations
Quarteroni, A. and Valli, A · 1999
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An energy-minimizing interpolation for robust multigrid methods
Wan, W. L., Chan, T. F., and Smith, B · 1999
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Navier–stokes solvers in european aircraft design
Vos, J., Rizzi, A., Darracq, D., and Hirschel, E · 2002
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Domain decomposition methods—algorithms and theory , volume 34 of Springer Series in Computational Mathematics
Toselli, A. and Widlund, O · 2005
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Optimized multiplicative, additive, and restricted additive Schwarz preconditioning
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Algebraic multigrid for discrete differential forms
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Elliptic partial differential equations , volume 1
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Adam: A method for stochastic optimization
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Learning algebraic multigrid using graph neural networks
Luz, I., Galun, M., Maron, H., Basri, R., and Yavneh, I · 2020
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Asap: Adaptive structure aware pooling for learning hierarchical graph representations
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Evaluation of linear implicit quantized state system method for analyzing mission performance of power systems
Gholizadeh, N., Hood, J. M., and Dougal, R. A · 2021
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Combining machine learning and domain decomposition methods for the solution of partial differential equations—a review
Heinlein, A., Klawonn, A., Lanser, M., and Weber, J · 2021
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Li, Q., Han, Z., and Wu, X.-M · 2018
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Optimized sparse matrix operations for reverse mode automatic differentiation
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Learning interface conditions in domain decomposition solvers
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Suitability of quantized devs lim methods for simulation of power systems
Gholizadeh, N., Hood, J. M., and Dougal, R. A · 2023
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