Summary
We present two non-overlapping domain decomposition based two-level Newton schemes for solving nonlinear problems and demonstrate their effectiveness by analyzing systems with balanced and unbalanced nonlinearities. They both have been implemented in parallel and show good scalability. The implementations accommodate non-symmetric matrices and unstructured meshes.
Both the authors would like to acknowledge the support provided by NSF under grant no. DMR 01-21695
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Kulkarni, D.V., Tortorelli, D.A. (2005). A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_65
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DOI: https://doi.org/10.1007/3-540-26825-1_65
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