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We consider the simulation of steady-state variably saturated groundwater flow using Richards’ equation (RE). The difficulties associated with solving RE numerically are well known. Most discretization approaches for RE lead to nonlinear systems that are large and difficult to solve. The solution of nonlinear systems for steadystate problems can be… (More)

- Eleanor W. Jenkins, Christopher E. Kees, C. T. Kelley, Cass T. Miller
- SIAM J. Scientific Computing
- 2001

In this paper we give a convergence analysis of a two-level additive Schwarz method in which the coarse mesh basis is constructed with aggregation, a method common in algebraic multigrid. This coarse mesh does not need geometric information about the subdomains and can readily be used on unstructured spatial meshes. We illustrate the performance with… (More)

- K. R. Kavanagh, C. T. Kelley, C. T. Miller, Mark S.C. Reed, Robert W. Darwin, C. E. Kees
- 2003

In this paper we consider two model problems in groundwater supply optimization, implement the objective functions and constraints with MODFLOW, a widely-used production code, and solve the problems with the implicit filtering algorithm. These constraints and objective functions are discontinuous and have multiple local minima. Our objectives are not only… (More)

- Cass T. Miller, Clint N. Dawson, +4 authors Hans Petter Langtangen
- 2013

Mechanistic modeling of water resources systems is a broad field with abundant challenges. We consider classes of model formulations that are considered routine, the focus of current work, and the foundation of foreseeable work over the coming decade. These model formulations are used to assess the current and evolving state of solution algorithms,… (More)

- C. E. Kees, M. W. Farthing
- 2006

Recently there has been much interest in scaling water flow and species transport at the continuum level to the watershed. A particularly simple and, therefore, appealing approach is based on the water mass balance at the hillslope scale. Such models require parameterization of closure relations (flux–storage relations) based on field data. In several… (More)

- David H Kergosien, Matthew D Barnhart, +4 authors Eric R Schertel
- Veterinary surgery : VS
- 2004

OBJECTIVE
To investigate radiographic changes of the tibial tuberosity after tibial plateau leveling osteotomy (TPLO) surgery and identify clinical findings and risk factors associated with such changes.
STUDY DESIGN
Retrospective study.
SAMPLE POPULATION
Hundred and eighty-six client-owned dogs (219 stifles) that had TPLO surgery.
METHODS
Patient… (More)

- K. R. Fowler, J. P. Reese, +12 authors T. G. Kolda
- 2008

Management decisions involving groundwater supply and remediation often rely on optimization techniques to determine an effective strategy. We introduce several derivative-free sampling methods for solving constrained optimization problems that have not yet been considered in this field, and we include a genetic algorithm for completeness. Two… (More)

- K. R. Fowler, J. P. Reese, +12 authors T. G. Kolda
- 2008

Management decisions involving groundwater supply and remediation often rely on optimization techniques to determine an effective strategy. We introduce several derivative-free sampling methods for solving constrained optimization problems that have not yet been considered in this field, and we include a genetic algorithm for completeness. Two… (More)

- Christopher E. Kees, Cass T. Miller
- ACM Trans. Math. Softw.
- 1999

Object-oriented programming can produce improved implementations of complex numerical methods, but it can also introduce a performance penalty. Since computational simulation often requires intricate and highly efficient codes, the performance penalty of high-level techniques must always be weighed against the improvements they enable. These issues are… (More)

Richards’ equation and the two-phase flow equations are well-known degenerate parabolic models of air/water flow in porous media. Poor iterative solver performance and small time steps during transient simulations are often reported in field-scale simulations. In this work we study Newton-multigrid and nonlinear multigrid methods applied to discrete… (More)