论文标题
用于热方程的时空DPG方法
A Space-Time DPG Method for the Heat Equation
论文作者
论文摘要
本文介绍了用于热方程式的超湿时时间DPG方法。我们证明了具有破裂的测试功能的变异公式的良好性，并验证了实用DPG方案的准选项。数值实验可视化由DPG方法的内置误差控制驱动的自适应和抛物面缩放的网状电源的有益特性。
This paper introduces an ultra-weak space-time DPG method for the heat equation. We prove well-posedness of the variational formulation with broken test functions and verify quasi-optimality of a practical DPG scheme. Numerical experiments visualize beneficial properties of an adaptive and parabolically scaled mesh-refinement driven by the built-in error control of the DPG method.
