Abstract
Adaptive, that is, problem-dependent coarse spaces provide a robust condition number estimate and thus a robust convergence behavior for FETI-DP (Finite Element Tearing and Interconnecting - Dual Primal) and BDDC (Balancing Domain Decomposition by Constraints) methods for highly heterogeneous model problems; see, e.g., [7, 10] for a condition number indicator and a related proof for a specific adaptive coarse space in two spatial dimensions.
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Klawonn, A., Lanser, M., Weber, J. (2024). Learning Adaptive FETI-DP Constraints for Irregular Domain Decompositions. In: Dostál, Z., et al. Domain Decomposition Methods in Science and Engineering XXVII. DD 2022. Lecture Notes in Computational Science and Engineering, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-50769-4_33
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DOI: https://doi.org/10.1007/978-3-031-50769-4_33
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