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|Title:||Solution of nonlinear consolidation problem by radial point interpolation method with unequal-rank polynomial basis|
Numerical ripple phenomenon
Radial point interpolation method with unequal-rank polynomial basis
|Source:||Wang, Z.,Wang, J.,Yin, Z. (2004-04-15). Solution of nonlinear consolidation problem by radial point interpolation method with unequal-rank polynomial basis. Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering 23 (8) : 1353-1357. ScholarBank@NUS Repository.|
|Abstract:||The famous Duncan-Chang model is adopted to make nonlinear numerical analysis on Biot's consolidation problem by a new type of meshless method, the radial point interpolation method with unequal-rank polynomial basis (URPIM). This method uses one-rank higher polynomial interpolation for displacement than that for pore water pressure, but the rank of radial basis for them is the same. The results display that URPIM can decrease or even avoid the curve fluctuating phenomenon resulting from numerical ripple when the same time steps, mode of point distribution and integral scheme are adopted. Furthermore, the solutions are in good agreement with those of finite element method and are of higher accuracy compared with those of the radial point interpolation method with equal-rank polynomial basis.|
|Source Title:||Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering|
|Appears in Collections:||Staff Publications|
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