SIAM Journal on Scientific Computing, Ahead of Print.
We present a numerical method for synchronous and concurrent solution of transient elastodynamics problem where the computational domain is divided into subdomains that may reside on separate computational platforms. This work employs the variational multiscale discontinuous Galerkin (VMDG) method to develop interdomain transmission conditions for transient problems. The fine-scale modeling concept leads to variationally consistent coupling terms at the common interfaces. The method admits a large class of time discretization schemes, and decoupling of the solution for each subdomain is achieved by selecting any explicit algorithm. Numerical tests with a manufactured solution problem show optimal convergence rates. The energy history in a free vibration problem is in agreement with that of the solution from a monolithic computational domain.

中文翻译：

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云计算平台的同步并发多域计算方法

SIAM 科学计算杂志，提前印刷。
我们提出了一种用于瞬态弹性动力学问题的同步和并发解决方案的数值方法，其中计算域被划分为可能驻留在不同计算平台上的子域。这项工作采用变分多尺度不连续伽辽金 (VMDG) 方法来开发瞬态问题的域间传输条件。精细建模概念导致公共接口处的变量一致耦合项。该方法允许使用一大类时间离散化方案，并且通过选择任何显式算法来实现每个子域的解耦。对制造解决方案问题的数值测试显示了最佳收敛速度。自由振动问题中的能量历史与来自整体计算域的解决方案的能量历史一致。