Comment on “On time integration of ground water flow equations by spectral methods” by G. Gambolati

Dunbar, W. Scott; Woodbury, Allan D.; Nour-Omid, B.

doi:10.1029/94wr00414

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Cited by 6 publications

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“…arising from the finite element integration in space of the diffusion [1][2][3][4] or the advectiondiffusion [5,6] equations. The basic idea underlying the reduction approach is to generate a basis of orthogonal vectors, called Lanczos [7] and Arnoldi [8] vectors, in a Krylov sub-space K r to address diffusive and advective -diffusive type problems, respectively.…”

Section: Introductionmentioning

confidence: 99%

Arnoldi and Crank-Nicolson methods for integration in time of the transport equation

Pini

Gambolati

2001

Int. J. Numer. Meth. Fluids

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Section: Introductionmentioning

confidence: 99%

Arnoldi and Crank-Nicolson methods for integration in time of the transport equation

Pini

Gambolati

2001

Int. J. Numer. Meth. Fluids

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Application of the unsymmetric Lanczos method to radionuclide decay-chain transport in porous media

Woodbury

Aitchison

1999

Int. J. Numer. Meth. Engng.

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Using either a finite element or finite‐difference method to solve radionuclide waste transport problems involving advection, dispersion, decay and transformation simultaneously is numerically complicated. Most applications have used only one‐dimensional transport and extending this approach to higher‐dimensional problems is a formidable task. This paper uses the ULR method to reduce the size of the semi‐discretized linear system and enables this extension. The development of this application includes a new method for choosing a common starting vector for all species in order to ensure the ULR method is convergent. The results of numerical simulations of application of this method to practical field contaminant transport problems show the efficiency of the method. Copyright © 1999 John Wiley & Sons, Ltd.

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Lanczos method for the solution of groundwater flow in discretely fractured porous media

Woodbury

Zhang

2001

Advances in Water Resources

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Comment on “On time integration of ground water flow equations by spectral methods” by G. Gambolati

Cited by 6 publications

References 5 publications

Arnoldi and Crank-Nicolson methods for integration in time of the transport equation

Arnoldi and Crank-Nicolson methods for integration in time of the transport equation

Application of the unsymmetric Lanczos method to radionuclide decay-chain transport in porous media

Lanczos method for the solution of groundwater flow in discretely fractured porous media

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