CMES-Vol. 45, No. 1, 2009

Open Access

ARTICLE

A Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity
Xiaolin Li¹, Jialin Zhu²
CMES-Computer Modeling in Engineering & Sciences, Vol.45, No.1, pp. 1-30, 2009, DOI:10.3970/cmes.2009.045.001
Abstract In this paper, a Galerkin boundary node method (GBNM) is developed for boundary-only analysis of 2D problems in linear elasticity. The GBNM combines the variational form of a boundary integral formulation for the elastic equations with the moving least-squares approximations for generating the trial and test functions. Unlike the boundary node method, the main idea here is to use the Galerkin scheme for numerical analysis, thus boundary conditions in the GBNM can be satisfied easily and directly in the weak formulation of the boundary integral equation. Another advantage with the Galerkin scheme is that the More >

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ARTICLE

Fast Searching Algorithm for Candidate Satellite-node Set in NLMG
Yufeng Nie¹, Ying Liu², Yuantong Gu³, Xiangkuo Fan¹
CMES-Computer Modeling in Engineering & Sciences, Vol.45, No.1, pp. 31-56, 2009, DOI:10.3970/cmes.2009.045.031
Abstract The Node-based Local Mesh Generation (NLMG) algorithm, which is free of mesh inconsistency, is one of core algorithms in the Node-based Local Finite Element Method (NLFEM) to achieve the seamless link between mesh generation and stiffness matrix calculation, and the seamless link helps to improve the parallel efficiency of FEM. Furthermore, the key to ensure the efficiency and reliability of NLMG is to determine the candidate satellite-node set of a central node quickly and accurately. This paper develops a Fast Local Search Method based on Uniform Bucket (FLSMUB) and a Fast Local Search Method based More >

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ARTICLE

A Discontinuous Galerkin Meshfree Modeling of Material Interface
Dongdong Wang^1,2, Yue Sun², Ling Li²
CMES-Computer Modeling in Engineering & Sciences, Vol.45, No.1, pp. 57-82, 2009, DOI:10.3970/cmes.2009.045.057
Abstract A discontinuous Galerkin meshfree formulation is proposed to solve the potential and elasticity problems of composite material where the material interface has to be appropriately modeled. In the present approach the problem domain is partitioned into patches or sub-domains and each patch holds the same material properties. The discretized meshfree particles within a patch are classified as one particle group. Various patches occupied by different particle groups are then linked using the discontinuous Galerkin formulation where an averaged interface flux or traction is constructed based on the fluxes or tractions computed from the adjacent patches. More >

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ARTICLE

A Dynamical Modeling to Study the Adaptive Immune System and the Influence of Antibodiesin the Immune Memory
Alexandre de Castro^1,2, Carlos Frederico Fronza², Domingos Alves^2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.45, No.1, pp. 83-96, 2009, DOI:10.3970/cmes.2009.045.083
Abstract Immunological systems have been an abundant inspiration to contemporary computer scientists. Problem solving strategies, stemming from known immune system phenomena, have been successfully applied to chall enging problems of modern computing. Simulation systems and mathematical modeling are also beginning use to answer more complex immunological questions as immune memory process and duration of vaccines, where the regulation mechanisms are not still known sufficiently (Lundegaard, Lund, Kesmir, Brunak, Nielsen, 2007). In this article we studiedin machinaa approach to simulate the process of antigenic mutation and its implications for the process of memory. Our results have suggested More >

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