论文标题
实施高阶，不连续的Galerkin时间，以解决分数扩散问题
Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems
论文作者
论文摘要
不连续的Galerkin DG方法为分数扩散问题的时间整合提供了强大而灵活的技术。但是，实际实现使用了不容易评估积分定义的系数。我们描述了有效维持DG方法总体准确性的专业正交技术。此外，我们在数值实验中观察到，DG时间阶段的经典扩散问题的已知超融合特性以修改的形式延续到分数阶的设置。
The discontinuous Galerkin dG method provides a robust and flexible technique for the time integration of fractional diffusion problems. However, a practical implementation uses coefficients defined by integrals that are not easily evaluated. We describe specialised quadrature techniques that efficiently maintain the overall accuracy of the dG method. In addition, we observe in numerical experiments that known superconvergence properties of dG time stepping for classical diffusion problems carry over in a modified form to the fractional-order setting.
