Weakly-singular traction and displacement boundary integral equations and their meshless local petrov-galerkin approaches
نویسندگان
چکیده
منابع مشابه
Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations
The general Meshless Local PetrovGalerkin (MLPG) type weak-forms of the displacement & traction boundary integral equations are presented, for solids undergoing small deformations. These MLPG weak forms provide the most general basis for the numerical solution of the non-hyper-singular displacement and traction BIEs [given in Han, and Atluri (2003)], which are simply derived by using the gradie...
متن کاملOn Simple Formulations of Weakly-Singular Traction & Displacement BIE, and Their Solutions through Petrov-Galerkin Approaches
Using the directly derived non-hyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward derivations of weakly singular traction BIE’s for solids undergoing small deformations are presented. A large number of “intrinsic properties” of the fundamental solutions in elasticity are developed, and are used in rendering the tBI...
متن کاملTruly Meshless Local Petrov-Galerkin (MLPG) Solutions of Traction & Displacement BIEs
The numerical implementation of the truly Meshless Local Petrov-Galerkin (MLPG) type weakforms of the displacement and traction boundary integral equations is presented, for solids undergoing small deformations. In the accompanying part I of this paper, the general MLPG/BIE weak-forms were presented [Atluri, Han and Shen (2003)]. The MLPG weak forms provide the most general basis for the numeri...
متن کاملMeshless Local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
(2000) Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches. Abstract The Meshless Local Petrov-Galerkin (MLPG) method is an effective truly meshless method for solving partial differential equations using Moving Least Squares (MLS) interpolants. It is, however, computationally expensive for some problems. A coupled MLPG/Finite Element ...
متن کاملImposing boundary conditions in the meshless local Petrov–Galerkin method
A particular meshless method, named meshless local Petrov–Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial terms (RBFp). Whereas the MLS has lower computa...
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ژورنال
عنوان ژورنال: Tsinghua Science and Technology
سال: 2005
ISSN: 1007-0214
DOI: 10.1016/s1007-0214(05)70002-x