We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the assembly and resolution of large linear systems for the time iterations. The approach is based on a kinetic representation of the system of conservation laws previously investigated by the authors. In this paper, the approach is extended with a subdomain strategy that improves the parallel scaling of the method on computers with distributed memory.

翻译：我们建议采用新的平行的Galerkin方法来近似双曲保护法体系。该方法与大型时间步骤保持稳定,同时保持一个明确计划的复杂性:它不需要在时间迭代时对大型线性系统进行组装和解析;该方法以作者以前调查过的养护法体系的动能代表为基础;在本文中,该方法以子领域战略加以扩展,改进在计算机上使用分布式内存的方法的平行缩放。