Total-FETI domain decomposition method for solution of elasto-plastic problems

Čermák, Martin; Hapla, Vaclav; Horák, David; Merta, Michal; Markopoulos, Alexandros

doi:10.1016/j.advengsoft.2014.12.011

Cited by 11 publications

(5 citation statements)

References 17 publications

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“…The current parallelization scheme will utilize finite element tearing and interconnecting (FETI) dual-primal DD method. The FETI method was found to outperform other well-known iterative methods and direct solvers on both parallel and serial platforms, and its performance is comparable to other leading DD methods for instance Neumann-Neumann algorithms [20][21][22]. A more extensive discussion of parallelism in FSI is given by Ballman et al [23].…”

Section: Introductionmentioning

confidence: 94%

Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Abas

Abdul-Rahman

2015

Arab J Sci Eng

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A numerical assessment on the solution performance of adaptive finite element methods for fluid-structure interaction (FSI) is presented in this paper. The partitionedbased approach involving separate fluid and structure solvers is considered for adaptive finite element computation with triangular mesh. The performance of the hp-adaptivity, in which error in energy norm is reduced by way of mesh refinement (h) and polynomial order extension ( p), is of particular interest. In addition, parallel solution process based on the domain decomposition method is also assessed due to the complexity of two way coupling scheme. Based on its numerical convergence, the hp-adaptive procedure for the FSI problem is shown to yield the fastest convergence as generally expected. Moreover, our domain decomposition parallelization scheme shows reduction in the computation time by up to order 2. Subsequently, the convergence performance is highly dependent on the aspect ratios of the triangular elements. The solution performance strongly suggests the viability of the parallel hp-adaptive method in partitioned-based FSI formulation.Keywords Fluid-structure interaction · Adaptive finite element method · Arbitrary Lagrangian-Eulerian · Error estimator · Domain decomposition B Aizat Abas

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Section: Introductionmentioning

confidence: 94%

Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Abas

Abdul-Rahman

2015

Arab J Sci Eng

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“…. L n s T , where L s is subdomain assembly operator as given in equation (32). The interface problem given in equation ( 20) is solved using the extended preconditioner, given in equation (28), with the LMPC incorporated using the format specified by equation (31).…”

Section: Preconditioningmentioning

confidence: 99%

“…FETI has been applied to a wide variety of problems which include transient dynamics problems [23], fourth-order plates and shells problems [24,25], problems having heterogeneous material system [26], problems involving contact analysis [27,28], problems involving applications of multi-point constraints [29,30], etc. TFETI, the method adapted in this work, is an easier and efficient implementation of FETI and has been applied to elastoplastic problems [31,32], elastoplastic contact problem [33]. The scalability of the method has been demonstrated in [34].…”

Section: Introductionmentioning

confidence: 99%

Total finite element tearing and interconnection method for computationally efficient micromechanical analysis

Kulkarni¹,

Gautham²,

Kulkarni³

2021

Modelling Simul. Mater. Sci. Eng.

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Micromechanical analysis of a representative volume element (RVE) is commonly performed to estimate the material’s effective/homogenized properties in a multiscale analysis of deformation of materials. Typically numerical analysis techniques such as the finite element (FE) method are used for such an analysis. A highly refined FE mesh is required to capture microstructure features accurately for the analysis of RVE. However, this increases the number of degrees of freedom and affects computational time adversely. In this contribution a total finite element tearing and interconnection (TFETI) domain decomposition method based approach is presented for a computationally efficient micromechanical analysis. Two critical aspects of the micromechanical analysis, namely, a) computationally efficient solution of the boundary value problem and b) ease of computation of effective properties, are addressed in this work. This work focuses on the displacement driven micromechanical analysis where the boundary conditions are available in terms of displacements over the entire boundary. Two types of displacement boundary conditions, viz uniform or proportional displacements and periodic displacements corresponding to the state of uniaxial extension and simple shear are considered. The performance of the adapted TFETI with commonly used preconditioners, namely Dirichlet and lumped, for such displacement driven analysis is investigated. An efficient algorithm that exploits the structure of the TFETI method is proposed to calculate the effective properties. The proposed method’s efficacy is demonstrated by analyzing some representative model problems of composite materials. It is observed that the method’s performance depends on various problem parameters such as volume fraction, the shape of inclusion, the distance between the inclusions, and the contrast between the material properties of matrix and inclusion. The performance also depends on the numerical method parameters, such as the number of subdomains, shape of subdomains, and preconditioners. Therefore, a systematic study is carried out to study the influence of these parameters on the method’s performance.

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“…Therefore, the same parallel computing method is applicable to both dynamic analysis and static analysis. The domain decomposition method (DDM) is widely used in finite element structural analysis because of the ability of achieving a much higher parallel efficiency . It belongs to the coarse‐grain parallel computing method in the task level.…”

Section: Review Of Parallel Computing For Structural Analysismentioning

confidence: 99%

“…The domain decomposition method (DDM) is widely used in finite element structural analysis because of the ability of achieving a much higher parallel efficiency. [26][27][28][29] It belongs to the coarse-grain parallel computing method in the task level. It is suitable both for running on the supercomputers with distributed storage architecture and for running on the supercomputers with shared memory architecture.…”

Section: Review Of Parallel Computing For Structural Analysismentioning

confidence: 99%

An approach to enhance the performance of large‐scale structural analysis on CPU‐MIC heterogeneous clusters

Miao

Jin

Ding

2016

Concurrency and Computation

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Summary Clusters with the CPU‐MIC heterogeneous architecture are becoming more popular in recent years. However, it is not easy to achieve good performance on such machines. The key challenge has been the asymmetry within clusters, arising from different kinds of execution units as well as different communication latencies. To improve the performance of large‐scale structural analysis on CPU‐MIC heterogeneous clusters, a multi‐layer and multi‐grain collaborative parallel computing approach is proposed in the paper. The proposed method combines the parallel algorithm and the hardware architecture of CPU‐MIC heterogeneous clusters together. Through mapping computing tasks to various hardware layers, it both resolves the load balance problem between CPU and MIC devices and significantly reduces the communication overheads of the system. Numerical experiments conducted on Tianhe‐2 supercomputer show that the proposed method obtained better performance compared with the traditional approach. Scalability investigation showed that the proposed method had good scalability with respect to problem sizes. The findings of this paper are of help to the parallel porting and performance optimization of other applications on CPU‐MIC heterogeneous clusters.

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Total-FETI domain decomposition method for solution of elasto-plastic problems

Cited by 11 publications

References 17 publications

Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Total finite element tearing and interconnection method for computationally efficient micromechanical analysis

An approach to enhance the performance of large‐scale structural analysis on CPU‐MIC heterogeneous clusters

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