Stability of spatial interpolation functions in finite element one‐dimensional kinematic wave rainfall‐runoff models

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Stability of spatial interpolation functions in finite element one‐dimensional kinematic wave rainfall‐runoff models

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dc.contributor.author Luong, Tuan Anh
dc.contributor.author Larsson, Rolf
dc.date.accessioned 2011-04-17T03:09:08Z
dc.date.available 2011-04-17T03:09:08Z
dc.date.issued 2008
dc.identifier.citation VNU Journal of Science, Earth Sciences 24 (2008) 57‐65 vi
dc.identifier.issn 0866-8612
dc.identifier.uri http://hdl.handle.net/123456789/267
dc.description VNU Journal of Science, Earth Sciences. Vol. 24 (2008), No. 2, P. 57‐65 vi
dc.description.abstract This paper analyzes the stability of linear, lumped, quadratic, and cubic spatial interpolation functions in finite element one‐dimensional kinematic wave schemes for simulation of rainfall‐runoff processes. Galerkin’s residual method transforms the kinematic wave partial differential equations into a system of ordinary differential equations. The stability of this system is analyzed using the definition of the norm of vectors and matrices. The stability index, or singularity of the system, is computed by the Singular Value Decomposition algorithm. The oscillation of the solution of the finite element one‐dimensional kinematic wave schemes results both from the sources, and from the multiplication operator of oscillation. The results of computation experiment and analysis show the advantage and disadvantage of different types of spatial interpolation functions when FEM is applied for rainfall‐ runoff modeling by kinematic wave equations. vi
dc.language.iso en vi
dc.publisher ĐHQGHN vi
dc.subject Singular value decomposition vi
dc.subject Stability index vi
dc.subject Rainfall‐runoff vi
dc.subject Kinematic wave vi
dc.subject Spatial interpolation functions vi
dc.title Stability of spatial interpolation functions in finite element one‐dimensional kinematic wave rainfall‐runoff models vi
dc.type Article vi

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