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Newton-Krylov-Schwarz Methods for Richards' Equation (1999)  (Make Corrections)  (2 citations)
E. W. Jenkins, R. C. Berger, J. P. Hallberg, Stacy E. Howington, C. T. Kelley, Joseph H. Schmidt, Alan Stagg, M. D. Tocci



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Abstract: . In this paper we discuss the design and implementation of a Newton-Krylov-Schwarz solver for the implicit temporal integration on an unstructured three-dimensional spatial mesh of Richards' equation for groundwater flow in unsaturated porous media. We use aggregation techniques from the algebraic multigrid literature to construct a coarse mesh for two-level Schwarz methods. Our coarse mesh differs from other constructions in that no coarse mesh geometry need be created and we do not need... (Update)

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...GAANN fellowship. Computing activity was partially supported by an allocation from the North Carolina Supercomputing Center. 2 In [10] we will apply this approach to the solution of Richards equation for groundwater flow in the unsaturated zone, and in [7] we discuss an...

...Waterways Experiment Station (WES) that is designed to solve a variety of hydrology problems including surface water flow. In [10] we will apply this approach to the solution of Richards equation for groundwater flow in the unsaturated zone, and in [7] we discuss an...

Cited by:   More
A Two-Level Aggregation-Based.. - Jenkins, Berger.. (1999)   (Correct)

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3.7:   Newton-Krylov-Schwarz Methods for Richards' Equation - Jenkins, Berger, Hallberg, ..   (Correct)
0.5:   An Aggregation-Based Domain Decomposition.. - Jenkins, Kelley.. (2001)   (Correct)
0.5:   Transformation Approaches for Simulating Flow in.. - Williams, Miller, Kelley (1998)   (Correct)

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1.5:   Nonsmooth Nonlinearities and Temporal Integration.. - Kavanagh, Kelley, ..   (Correct)
0.3:   A Model to Simulate the Interaction between.. - Howington.. (1999)   (Correct)
0.2:   Robust Solution of Richards' Equation for Non-Uniform.. - Miller, Williams.. (1995)   (Correct)

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BibTeX entry:   (Update)

E. W. Jenkins, Joseph H. Schmidt, Alan Stagg, Stacy E. Howington, R. C. Berger, J. P. Hallberg, C. T. Kelley, and M. D. Tocci. Newton-Krylov-Schwarz methods for Richards' equation. In preparation. http://citeseer.ist.psu.edu/jenkins99newtonkrylovschwarz.html   More

@misc{ jenkins-newtonkrylovschwarz,
  author = "E. Jenkins and J. Schmidt and A. Stagg and S. Howington and R. Berger and
    J. Hallberg and C. Kelley and M. Tocci",
  title = "Newton-Krylov-Schwarz methods for Richards' equation",
  text = "E. W. Jenkins, Joseph H. Schmidt, Alan Stagg, Stacy E. Howington, R. C.
    Berger, J. P. Hallberg, C. T. Kelley, and M. D. Tocci. Newton-Krylov-Schwarz
    methods for Richards' equation. In preparation.",
  url = "citeseer.ist.psu.edu/jenkins99newtonkrylovschwarz.html" }
Citations (may not include all citations):
650   Numerical Methods for Unconstrained Optimization and Nonline.. (context) - DENNIS, SCHNABEL - 1996
482   Iterative Solution of Nonlinear Equations in Several Variabl.. (context) - ORTEGA, RHEINBOLDT - 1970
215   Bi--CGSTAB: A fast and smoothly converging variant to Bi--CG.. (context) - VAN DER VORST - 1992
185   Domain Decomposition: Parallel Multilevel Methods for Ellipt.. (context) - SMITH, BJRSTAD et al. - 1996
176   Inexact Newton methods (context) - DEMBO, EISENSTAT et al. - 1982
134   Iterative Methods for Solving Linear Systems (context) - GREENBAUM - 1997
131   A transpose-free quasi-minimal residual algorithm for non-He.. (context) - FREUND - 1993
122   Iterative Methods for Linear and Nonlinear Equations (context) - KELLEY - 1995
47   Choosing the forcing terms in an inexact Newton method - EISENSTAT, WALKER - 1996
43   Variants of BICGSTAB for matrices with complex spectrum (context) - GUTKNECHT - 1993
31   Using Krylov methods in the solution of large-scale differen.. (context) - BROWN, HINDMARSH et al. - 1994
26   Newton-Krylov-Schwarz: an implicit solver for CFD - CAI, KEYES et al. - 1997
21   Newton-Krylov-Schwarz methods in CFD - CAI, GROPP et al. - 1994
20   A new model for predicting the hydraulic conductivity of uns.. (context) - MUALEM - 1976
20   A general mass-conservative numerical solution for the unsat.. (context) - CELIA, BOULOUTAS et al. - 1990
17   Matrix-free methods for stiff systems of ODE's (context) - BROWN, HINDMARSH - 1986
16   Aerodynamic applications of Newton-Krylov-Schwarz solvers - KEYES - 1995
14   Accurate and economical solution of the pressure head form o.. (context) - TOCCI, KELLEY et al. - 1997
13   Boundary treatments for multilevel methods on unstructured g.. - CHAN, GO et al. - 1999
13   Finite element solution strategies for large--scale flow sim.. (context) - BEHR, TEZDUYAR - 1994
11   Communications in Applied Numerical Methods (context) - MANDEL, decomposition - 1993
8   Algebraic multigrid by smoothed aggregation for second and f.. - VAN EK, MANDEL et al. - 1996
8   Developing joint probability distributions of soil water ret.. (context) - CARSEL, PARRISH - 1988
6   Predicting the hydraulic conductivity of unsaturated soils (context) - VAN GENUCHTEN - 1980
5   Robust solution of Richards' equation for non-uniform porous.. - MILLER, WILLIAMS et al. - 1998
4   GMS -- The Department of Defense Groundwater Modeling System.. (context) - UNIVERSITY - 1994
4   cell-centered method for two-phase flow with a preconditione.. (context) - DAWSON, KLIE et al. - 1997
4   A Newton-Krylov-multigrid solver for variably saturated flow.. (context) - WOODWARD - 1998
3   Mixed Finite Element Methods for Variably Saturated Subsurfa.. - SOUCIE - 1996
3   The UNSODA Unsaturated Soil Hydraulic Database (context) - LEIJ, ALVES et al. - 1996
2   Parallel Newton-Krylov-multigrid solvers for variably satura.. (context) - WOODWARD, JONES - 1999
2   A two-level aggretation-based Newton-Krylov-Schwarz method f.. (context) - JENKINS, BERGER et al. - 1999

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