Publications

Work in preparation

1. S. Loisel, H. Nguyen, On the Convergence of Additive Schwarz Preconditioners for Parallel Adaptive Finite Elements.
   

Preprints (submitted)

1. S. Loisel, H. Nguyen and R. Scheichl, Optimized Schwarz and 2-Lagrange Methods for Multiscale PDEs, submitted to SISC.
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2. S. Loisel, H. Nguyen, An Optimal Schwarz Preconditioner for Parallel Adaptive Finite Elements, submitted to SINUM.
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Refereed publications

1. S. Loisel, H. Nguyen, A Comparison of Additive Schwarz Preconditioners for Parallel Adaptive Finite Elements, in Domain Decomposition Methods in Science and Engineering XXII, Lecture Notes in Computational Science and Engineering, to appear.
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2. R. E. Bank and H. Nguyen, A parallel hp-adaptive finite element method, in Recent Advances in Scientific Computing and Applications, Jichun Li, Hongtao Yang, Eric Machorro, eds., vol. 586 of Contemporary Mathematics, Amer. Math. Soc., Providence, RI, 2013, pp. 23–33.
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3. R. E. Bank and H. Nguyen, Mesh regularization in Bank-Holst parallel hp-adaptive meshing, in Domain Decomposition Methods in Science and Engineering XX, R. Bank, M. Holst O. Widlund and J. Xu, eds., vol. 91 of Lecture Notes in Computational Science and Engineering, Springer, 2013, pp. 103-110.
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4. H. Nguyen and Z. Bai, E. Dogrul, T. Kadir, C. Brush, F. Chung, Adaptive Accuracy Control of Nonlinear Newton-Krylov Methods for Multiscale Integrated Hydrologic Models, in XIX International Conference on Computational Methods in Water Resources, 2012.
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5. R. E. Bank and H. Nguyen, hp Adaptive Finite Elements Based on Derivative Recovery and Superconvergence, Computing and Visualization in Science, 14 (2011), pp 287-299.
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6. R. E. Bank and H. Nguyen, Domain decomposition and hp-adaptive finite elements, in Domain Decomposition Methods in Science and Engineering XIX, Y. Huang, R. Kornhuber, O. Widlund, and J. Xu, eds., vol. 78 of Lecture Notes in Computational Science and Engineering, 2011, Springer, pp. 3–13.
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7. Hieu Trung Nguyen, p-adaptive and automatic hp-adaptive finite element methods for elliptic partial differential equations, PhD Thesis, UC SanDiego, 2010.
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8. Nguyen Trung Hieu, Remark on the shooting methods for nonlinear two-point boundary-value problems, Journal of Science, Vietnam National University, T. XIX, No 3, 2003.
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Other publications

1. H. Nguyen and Z. Bai, E. Dogrul, T. Kadir, C. Brush, F. Chung, On Using the Newton-PGMRES Method for Multiscale Integrated Hydrologic Models.
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1. H. Nguyen, Yifeng Cui, Kim Olsen, Kwangyoon Lee , Single CPU optimizations of SCEC AWP-Olsen application, Poster, Southern California Earthquake Center Annual Meeting, 2009.
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