An unconditionally stable parallel transient algorithm with multi-step independent subdomain computation

Bennighof, Jeffrey K.; Wu, Jiann-Yuarn

doi:10.1016/0956-0521(91)90022-w

Cited by 9 publications

(1 citation statement)

References 12 publications

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“…Computational effort to compute the matrices Q and Z and to solve the sets of equations in (9) can be more than that of direct numerical integration of the system ( 1 ). With the advent of fast computers, the system (1) can be solved efficiently and accurately by direct numerical integration, and in particular by parallel integration algorithms when the system is large scale (see, e.g., Bennighof and Wu (1991), Harichandaran and Ye (1993), Shieh (19933, and the references therein).…”

Section: A=mentioning

confidence: 99%

Discussion: “A Quasi-Decoupling Approach for Nonclassical Linear Systems in State Space” (Ren, G. and Zheng, Z., 1997, ASME J. Appl. Mech., 64, pp. 946–950)

Shahruz¹

1998

Journal of Applied Mechanics

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Section: A=mentioning

confidence: 99%

Discussion: “A Quasi-Decoupling Approach for Nonclassical Linear Systems in State Space” (Ren, G. and Zheng, Z., 1997, ASME J. Appl. Mech., 64, pp. 946–950)

Shahruz¹

1998

Journal of Applied Mechanics

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Parallel asynchronous variational integrators

Kale

Lew

2006

Numerical Meth Engineering

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SUMMARYThis paper presents a scalable parallel variational time integration algorithm for nonlinear elastodynamics with the distinguishing feature of allowing each element in the mesh to have a possibly different time step. Furthermore, the algorithm is obtained from a discrete variational principle, and hence it is termed parallel asynchronous variational integrator (PAVI). The underlying variational structure grants it outstanding conservation properties. Based on a domain decomposition strategy, PAVI combines a careful scheduling of computations with fully asynchronous communications to provide a very efficient methodology for finite element models with even mild distributions of time step sizes. Numerical tests are shown to illustrate PAVI's performance on both slow and fast networks, showing scalability properties similar to the best parallel explicit synchronous algorithms, with lower execution time. Finally, a numerical example in which PAVI needs ≈ 100 times less computing than an explicit synchronous algorithm is shown.

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Comparative efficiencies of three parallel algorithms for nonlinear implicit transient dynamic analysis

Rao

Dattaguru

2004

Sadhana

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The work reported in this paper is motivated by the need to develop portable parallel processing algorithms and codes which can run on a variety of hardware platforms without any modifications. The prime aim of the research work reported here is to test the portability of the parallel algorithms and also to study and understand the comparative efficiencies of three parallel algorithms developed for implicit time integration technique. The standard message passing interface (MPI) is used to develop parallel algorithms for computing nonlinear dynamic response of large structures employing implicit time-marching scheme. The parallel algorithms presented in this paper are developed under the broad framework of non-overlapped domain decomposition technique. Numerical studies indicate that the parallel algorithm devised employing the conventional form of Newmark time integration algorithm is faster than the predictor-corrector form. It is also accurate and highly adaptive to fine grain computations. The group implicit algorithm is found to be extremely superior in performance when compared to the other two parallel algorithms. This algorithm is better suited for large size problems on coarse grain environment as the resulting submeshes will obviously be large and thus permit larger time steps without losing accuracy.

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An unconditionally stable parallel transient algorithm with multi-step independent subdomain computation

Cited by 9 publications

References 12 publications

Discussion: “A Quasi-Decoupling Approach for Nonclassical Linear Systems in State Space” (Ren, G. and Zheng, Z., 1997, ASME J. Appl. Mech., 64, pp. 946–950)

Discussion: “A Quasi-Decoupling Approach for Nonclassical Linear Systems in State Space” (Ren, G. and Zheng, Z., 1997, ASME J. Appl. Mech., 64, pp. 946–950)

Parallel asynchronous variational integrators

Comparative efficiencies of three parallel algorithms for nonlinear implicit transient dynamic analysis

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