Open Access
ARTICLE
Jin Li1,2, Hongxing Ru1, Dehao Yu3,4
CMES-Computer Modeling in Engineering & Sciences, Vol.97, No.6, pp. 463-482, 2014, DOI:10.3970/cmes.2014.097.463
Abstract The computation with Simpson’s rule for the supersingular integrals on circle is discussed. When the singular point coincides with some priori known point, the convergence rate of the Simpson rule is higher than the globally one which is considered as the superconvergence phenomenon. Then the error functional of density function is derived and the superconvergence phenomenon of composite Simpson rule occurs at certain local coordinate of each subinterval. Based on the error functional, a modify quadrature is presented. At last, numerical examples are provided to validate the theoretical analysis and show the efficiency of the algorithms. More >
Open Access
ARTICLE
Xiaolin Li1
CMES-Computer Modeling in Engineering & Sciences, Vol.97, No.6, pp. 483-507, 2014, DOI:10.3970/cmes.2014.097.483
Abstract Combining moving least square (MLS) approximations and boundary integral equations, a symmetric and boundary-only meshless method, the Galerkin boundary node method (GBNM), is developed in this paper for two- and threedimensional elasticity problems with mixed boundary conditions. Unlike other MLS-based meshless methods, boundary conditions in this meshless method can be applied directly and easily. In the GBNM, the stiffness matrices so obtained are symmetric. The property of symmetry is an added advantage in coupling the GBNM with the finite element method (FEM). Thus, a symmetric coupling of the GBNM and the FEM is also discussed for elasticity problems. Error analysis… More >
Open Access
ARTICLE
Tao Zhang1,2, Yiqian He3, Leiting Dong4, Shu Li1, Abdullah Alotaibi5, Satya N. Atluri2,5
CMES-Computer Modeling in Engineering & Sciences, Vol.97, No.6, pp. 509-533, 2014, DOI:10.3970/cmes.2014.097.509
Abstract In this article, the Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method is developed to solve the Cauchy inverse problems of Steady- State Heat Transfer In the MLPG mixed collocation method, the mixed scheme is applied to independently interpolate temperature as well as heat flux using the same meshless basis functions The balance and compatibility equations are satisfied at each node in a strong sense using the collocation method. The boundary conditions are also enforced using the collocation method, allowing temperature and heat flux to be over-specified at the same portion of the boundary. For the inverse problems where noise is… More >
Open Access
CORRECTION
K.P. Baxevanakis1, A.E. Giannakopoulos2
CMES-Computer Modeling in Engineering & Sciences, Vol.97, No.6, pp. 535-544, 2014, DOI:10.3970/cmes.2014.097.535
Abstract This article has no abstract. More >
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