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Title: A meshfree minimum length method
Authors: Liu, G.R. 
Dai, K.Y. 
Han, X.
Keywords: Interpolation function
Meshftee method
Meshless method
Minimum length method
Radial basis function (RBF)
Issue Date: 2006
Citation: Liu, G.R., Dai, K.Y., Han, X. (2006). A meshfree minimum length method. WIT Transactions on Modelling and Simulation 42 : 69-77. ScholarBank@NUS Repository.
Abstract: A meshfree minimum length method (MLM) has been proposed for solids mechanics and heat conduction problems. In this method, both polynomial terms as well as modified radial basis functions (RBFs) are used to construct shape functions using arbitrarily distributed nodes based on the minimum length procedure. The shape functions constructed possess delta function property. The numerical examples show that the method achieves better accuracy than the finite element method especially for problems with steep gradients. Some numerical implementation issues for MLM are also discussed in detail.
Source Title: WIT Transactions on Modelling and Simulation
ISBN: 1845641647
ISSN: 1743355X
DOI: 10.2495/BE06008
Appears in Collections:Staff Publications

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