MOOSE: A parallel computational framework for coupled systems of nonlinear equations
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Derek Gaston | Christopher K. Newman | Damien Lebrun-Grandié | D. Gaston | C. Newman | G. Hansen | D. Lebrun-Grandié | Glen A. Hansen
[1] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[2] J. Shadid,et al. Studies of the Accuracy of Time Integration Methods for Reaction-Diffusion Equations ∗ , 2005 .
[3] Graham F. Carey,et al. Computational grids : generation, adaptation, and solution strategies , 1997 .
[4] William J. Rider,et al. Physics-Based Preconditioning and the Newton-Krylov Method for Non-equilibrium Radiation Diffusion , 2000 .
[5] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[6] E. Sartori,et al. Fuel Modelling at Extended Burnup: IAEA Coordinated Research Project FUMEX-II , 2007 .
[7] D. Braess. Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics , 1995 .
[8] Ivo Babuška,et al. A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis , 1983 .
[9] B. Stoecker,et al. Data sets of the SANA experiment 1994-1996 , 1997 .
[10] Ivo Babuska,et al. The p and h-p Versions of the Finite Element Method, Basic Principles and Properties , 1994, SIAM Rev..
[11] Benjamin S. Kirk,et al. Library for Parallel Adaptive Mesh Refinement / Coarsening Simulations , 2006 .
[12] L. Margolin,et al. On balanced approximations for time integration of multiple time scale systems , 2003 .
[13] Glen Hansen,et al. Three dimensional coupled simulation of thermomechanics, heat, and oxygen diffusion in UO2 nuclear fuel rods , 2009 .
[14] J. David Moulton,et al. Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids , 2008, Comput. Math. Appl..
[15] W. Lafayette,et al. The OECD/NEA/NSC PBMR coupled neutronics/thermal hydraulics transient benchmark: The PBMR-400 core design , 2006 .
[16] J. Shadid,et al. Studies on the accuracy of time-integration methods for the radiation-diffusion equations , 2004 .
[17] Homer F. Walker,et al. NITSOL: A Newton Iterative Solver for Nonlinear Systems , 1998, SIAM J. Sci. Comput..
[18] D. A. Knoll,et al. New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion , 2003 .
[19] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[20] Dana A. Knoll,et al. An Implicit, Nonlinear Reduced Resistive MHD Solver , 2002 .
[21] William J. Rider,et al. A Multigrid Preconditioned Newton-Krylov Method , 1999, SIAM J. Sci. Comput..
[22] L. A. Schoof,et al. EXODUS II: A finite element data model , 1994 .
[23] Dana A. Knoll,et al. Temporal Accuracy of the Nonequilibrium Radiation Diffusion Equations Applied to Two-Dimensional Multimaterial Simulations , 2006 .
[24] Uri M. Ascher,et al. Computer methods for ordinary differential equations and differential-algebraic equations , 1998 .
[25] John N. Shadid,et al. Stability of operator splitting methods for systems with indefinite operators: reaction-diffusion systems , 2005 .
[26] William L. Briggs,et al. A multigrid tutorial , 1987 .
[27] Vincent A. Mousseau,et al. Accurate Solution of the Nonlinear Partial Differential Equations from Thermal Hydraulics: Thermal Hydraulics , 2007 .
[28] D. Keyes,et al. Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .