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A domain decomposition algorithm coupling the finite element and the boundary element was presented. It essentially involves subdivision of the analyzed domain into sub-regions being independently modeled by two methods, i.e., the finite element method (FEM) and the boundary element method (BEM). The original problem was restored with continuity and equilibrium conditions being satisfied on the interface of the two sub-regions using an iterative algorithm. To speed up the convergence rate of the iterative algorithm, a dynamically changing relaxation parameter during iteration was introduced. An advantage of the proposed algorithm is that the locations of the nodes on the interface of the two sub-domains can be inconsistent. The validity of the algorithm is demonstrated by the consistence of the results of a numerical example obtained by the proposed method and those by the FEM, the BEM and a present finite element-boundary element (FE-BE) coupling method. 相似文献
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非线性动力有限元重叠区域分裂的隐式并行算法 总被引:1,自引:0,他引:1
针对大规模结构非线性瞬态动力分析非常耗时,提出了相应的并行算法。该算法采用无条件稳定的Ne-wmark-β方法(平均加速技术)进行时间积分,并结合区域分裂技术进行分析。它不同于已有的采用非重叠区域的并行算法,而是采用重叠区域的并行算法。对给定结构有限元分析的质量、阻尼、刚度矩阵进行分裂可推出重叠区域分裂算法的计算公式。为改善每一步的求解,采用预估和校正子方案。编写了该算法的程序,在工作站机群上实现了数值算例,验证了算法的性能。计算结果表明该算法优于非重叠区域分裂算法。 相似文献
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Based on the full domain partition, a parallel finite element algorithm for the stationary Stokes equations is proposed and analyzed. In this algorithm, each subproblem is defined in the entire domain. Majority of the degrees of freedom are associated with the relevant subdomain. Therefore, it can be solved in parallel with other subproblems using an existing sequential solver without extensive recoding. This allows the algorithm to be implemented easily with low communication costs. Numerical results are given showing the high efficiency of the parallel algorithm. 相似文献
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给出了一种新的适用于流体力学问题的并行自适应有限元算法。首先,基于初始稀网格上获得的事后误差估算值,应用反复谱对剖分方法对初网格进行划分,使各子域上总体误差近似相等,从而解决并行自适应计算中的负载平衡问题。然后在各处理器上独立地求解整体问题,并进行指定子域上的网格自适应处理。最后将各子域上的自适应网格组合成一个整体网格,应用基于粘接元技术的区域分裂法在该网格上获得最终解。文末给出了数值实验结果。 相似文献
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采用蒙特卡罗模拟(MCS)和加权积分法对二维问题进行随机有限元分析。尽管MCS方法对任何有确定解的问题都具有求解精度高的优点,但由于求解所需的计算量巨大使其应用受到限制。利用并行求解技术可有效地处理这种密集型计算问题。基于有限元分裂对接法(FETI)的并行特性并利用预处理共轭梯度法(PCG)的求解高效性,结合整体子区域实现(GSI-PCG)和FETI法,提出二级求解算法,并在工作站机群上实现了数值算例。算例计算结果表明本文GSI(PCG)-FETI算法具有较高的并行加速比和并行效率,具有良好的性能,可有效地进行二维问题的随机有限元分析。 相似文献
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S.B. Beale 《国际流体数值方法杂志》1999,30(5):523-540
A novel method to generate body‐fitted grids based on the direct solution for three scalar functions is derived. The solution for scalar variables ξ, η and ζ is obtained with a conventional finite volume method based on a physical space formulation. The grid is adapted or re‐zoned to eliminate the residual error between the current solution and the desired solution, by means of an implicit grid‐correction procedure. The scalar variables are re‐mapped and the process is reiterated until convergence is obtained. Calculations are performed for a variety of problems by assuming combined Dirichlet–Neumann and pure Dirichlet boundary conditions involving the use of transcendental control functions, as well as functions designed to effect grid control automatically on the basis of boundary values. The use of dimensional analysis to build stable exponential functions and other control functions is demonstrated. Automatic procedures are implemented: one based on a finite difference approximation to the Cristoffel terms assuming local‐boundary orthogonality, and another designed to procure boundary orthogonality. The performance of the new scheme is shown to be comparable with that of conventional inverse methods when calculations are performed on benchmark problems through the application of point‐by‐point and whole‐field solution schemes. Advantages and disadvantages of the present method are critically appraised. Copyright © 1999 National Research Council of Canada. 相似文献
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In this paper, a parallel algorithm with iterative form for solving finite element equation is presented. Based on the iterative solution of linear algebra equations, the parallel computational steps are introduced in this method. Also by using the weighted residual method and choosing the appropriate weighting functions, the finite element basic form of parallel algorithm is deduced. The program of this algorithm has been realized on the ELXSI-6400 parallel computer of Xi'an Jiaotong University. The computational results show the operational speed will be raised and the CPU time will be cut down effectively. So this method is one kind of effective parallel algorithm for solving the finite element equations of large-scale structures. 相似文献
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ANh-TYPEADAPTIVEFINITEELEMENT¥XuXing(徐兴)LingDaosheng(凌道盛)DuQinghua(杜庆华)DingHaojiang(丁皓江)(ZhejiangUniversity.Hangzhou310027.P.... 相似文献
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一个改进的平面梁单元 总被引:8,自引:0,他引:8
根据有限单元法基本原理 ,提出了一个变截面平面梁单元 ,推导了其单元钢度矩阵。这一改进的梁单元用于分析梁高呈线性变化及二次抛物线变化的矩形截面梁 ,将得到准确解。文中给出了一个变截面悬臂梁算例 ,计算表明 ,这一改进的梁单元使变截面梁的分析大大简化 相似文献
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Eric Feulvarch Jean-Christophe Roux Jean-Michel Bergheau 《Comptes Rendus Mecanique》2011,339(10):649-654
An implicit enriched finite element algorithm is proposed to simulate heat transfer involving isothermal phase changes. This technique is based on a mixed variational formulation discretized by means of an enriched finite element approximation of the enthalpy in space. The interface is implicitly described without coupling with an interface-capturing technique. The time integration is carried out with an implicit (backward) Euler algorithm in time. Two examples in 1D and 2D clearly evidence the efficiency of the method developed. 相似文献
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本文主要讨论在板料成形过程的动态显式有限元分析中,有限元网格的丙分割技术。单元为四节点壳单元,板料的材料特性假定满足Hill各向异性的弹塑性准则,采用自适应h-方案,通过细化和聚合单元调整网格的疏密,模具被假定为由刚性小平面组成,与同一单元的节点发生接触处的模具表面的法线之间的夹角作为单元再分的判据。通过对方表盒冲压成形过程的计算,说明该方法是有效的。 相似文献
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宋顺成 《应用数学和力学(英文版)》1994,15(4):317-322
THESLIDINGSURFACEALGORITHMSINTHREE-DIMENSIONALDYNAMICFINITEELEMENTCODESongShun-cheng(宋顺成)(InnerMongoluaResearchInstituteofMet... 相似文献
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This paper presents a real time finite element method (TFEM) which unifies discretization techniques both in space domain and time domain and leads to some new possibilities of direct integral schemes. It is proved that some conventional schemes such as central difference and Newmark scheme are only special cases of linear element. The problem of the matching between the division of space mesh and the choice of time step length is also discussed. 相似文献