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

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

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

Published online: 2013-10

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  • Abstract
Eficient 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 eld data, our results suggest that the energy-minimizing algebraic multigrid method is ecient and, more importantly, very robust.
  • Keywords

subsurface water simulation multigrid algebraic multigrid energy-minimizing interpolation

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@Article{IJNAM-10-374, author = {J. Cheng, X. Huang, S. Shu, J. Xu, C. Zhang, S. Zhang and Z. Zhou}, 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 = {Eficient 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 eld data, our results suggest that the energy-minimizing algebraic multigrid method is ecient 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 - J. Cheng, X. Huang, S. Shu, J. Xu, C. Zhang, S. Zhang & Z. Zhou 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 KW - multigrid KW - algebraic multigrid KW - energy-minimizing interpolation AB - Eficient 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 eld data, our results suggest that the energy-minimizing algebraic multigrid method is ecient and, more importantly, very robust.
J. Cheng, X. Huang, S. Shu, J. Xu, C. Zhang, S. Zhang & Z. Zhou. (1970). 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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