论文标题

波浪图的后验误差估计为球体

A posteriori error estimates for wave maps into spheres

论文作者

Giesselmann, Jan, Mäder-Baumdicker, Elena, Stonner, David Jakob

论文摘要

我们在能量规范的后验误差估计值中,对于基于角动量公式的球体,波浪图的时间半差异为球体。我们的分析基于新型的弱稳定性估计值,我们将其与数值溶液的合适重建结合使用。我们根据涉及爆炸的解决方案的A后验误差估计器提出时间自适应数值模拟。

We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on the angular momentum formulation. Our analysis is based on novel weak-strong stability estimates which we combine with suitable reconstructions of the numerical solution. We present time-adaptive numerical simulations based on the a posteriori error estimators for solutions involving blow-up.

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