Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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TL;DR: In this paper, the use of a meshless method (MM) with the possibility of employing an irregular grid point distribution can be of interest for modeling this kind of problems, e.g. earthquake site studies.
16 citations
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TL;DR: An innovative method based on Radial Basis Functions (RBF) mesh morphing is proposed, allowing the retention of the same mesh topology suitable for a continuum update of the shape.
16 citations
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TL;DR: A novel approach for reducing the computational cost of meshless element free Galerkin (EFG) methods by employing domain decomposition techniques on the physical as well as on the algebraic domains is introduced.
16 citations
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TL;DR: A gradient reproducing kernel (GRK) based stabilized collocation method (SCM) which can manage the computational complexity of the RK derivatives calculation and significantly improve the efficiency by directly constructing the GRK approximations, and handle the accuracy and stability problems of the DCM by employing the SCM.
Abstract: The reproducing kernel (RK) approximation based direct collocation method (DCM) requires the complex and time-consuming derivatives calculation of the approximation function, and the DCM has the poor accuracy and stability, which hinder the extensive application of this method. Therefore, in this work, we propose a gradient reproducing kernel (GRK) based stabilized collocation method (SCM) which can manage the computational complexity of the RK derivatives calculation and significantly improve the efficiency by directly constructing the GRK approximations, and handle the accuracy and stability problems of the DCM by employing the SCM. Moreover, the computation cost of the SCM is about the same level of the DCM, which is much more efficient than the Galerkin meshfree methods. The proposed method is particularly suitable for solving the thin beam and plate problems which requests the fourth-order differentiation in the strong form. The implementations of this method for the static and dynamical problems are detailedly exhibited. Numerical examples confirm that the presented algorithm provides high efficiency and good performance for the beam and plate simulations.
16 citations
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TL;DR: A coupled element-free Galerkin(EFG)-radial point interpolation method (RPIM) is proposed to enhance their advantages and avoid their disadvantages and this method satisfies the linear consistency exactly and can maintain the stiffness matrix symmetric.
16 citations