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Volume 10, Issue 2
Application of an Energy-Minimizing Algebraic Multigrid Method for Subsurface Water Simulations

J.-R. C. Cheng, X.-H. Huang, S. Shu, J. Xu, C.-S. Zhang, S. Zhang & Z. Zhou

Int. J. Numer. Anal. Mod., 10 (2013), pp. 374-388.

Published online: 2013-10

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  • Abstract

Efficient methods for solving linear algebraic equations are crucial to creating fast and accurate numerical simulations in many applications. In this paper, an algebraic multigrid (AMG) method, which combines the classical coarsening scheme by [19] with an energy-minimizing interpolation algorithm by [26], is employed and tested for subsurface water simulations. Based on numerical tests using real field data, our results suggest that the energy-minimizing algebraic multigrid method is efficient and, more importantly, very robust.

  • Keywords

subsurface water simulation, multigrid, algebraic multigrid, energy-minimizing interpolation.

  • AMS Subject Headings

65F10, 65N22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-374, author = {Cheng , J.-R. C.Huang , X.-H.Shu , S.Xu , J.Zhang , C.-S.Zhang , S. and Zhou , Z.}, title = {Application of an Energy-Minimizing Algebraic Multigrid Method for Subsurface Water Simulations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {2}, pages = {374--388}, abstract = {

Efficient methods for solving linear algebraic equations are crucial to creating fast and accurate numerical simulations in many applications. In this paper, an algebraic multigrid (AMG) method, which combines the classical coarsening scheme by [19] with an energy-minimizing interpolation algorithm by [26], is employed and tested for subsurface water simulations. Based on numerical tests using real field data, our results suggest that the energy-minimizing algebraic multigrid method is efficient and, more importantly, very robust.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/573.html} }
TY - JOUR T1 - Application of an Energy-Minimizing Algebraic Multigrid Method for Subsurface Water Simulations AU - Cheng , J.-R. C. AU - Huang , X.-H. AU - Shu , S. AU - Xu , J. AU - Zhang , C.-S. AU - Zhang , S. AU - Zhou , Z. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 374 EP - 388 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/573.html KW - subsurface water simulation, multigrid, algebraic multigrid, energy-minimizing interpolation. AB -

Efficient methods for solving linear algebraic equations are crucial to creating fast and accurate numerical simulations in many applications. In this paper, an algebraic multigrid (AMG) method, which combines the classical coarsening scheme by [19] with an energy-minimizing interpolation algorithm by [26], is employed and tested for subsurface water simulations. Based on numerical tests using real field data, our results suggest that the energy-minimizing algebraic multigrid method is efficient and, more importantly, very robust.

Cheng , J.-R. C.Huang , X.-H.Shu , S.Xu , J.Zhang , C.-S.Zhang , S. and Zhou , Z.. (2013). Application of an Energy-Minimizing Algebraic Multigrid Method for Subsurface Water Simulations. International Journal of Numerical Analysis and Modeling. 10 (2). 374-388. doi:
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