Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order
Published in arXiv preprint, 2022
We optimize iterative arbitrary high order methods. The main idea, similar to the work on efficient DeC, is to match space discretization and accuracy of the iteration. This allows to have p-adaptivity very easily without wasting any computational step. We apply it to ADER-DG and ADER-FV with an a posteriori limiter: Discrete Optimally increasing Order Method (DOOM). It can provably preserve structures of the scheme such as positivity. Download paper
Recommended citation: L. Micalizzi, D. Torlo and W. Boscheri. "Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order." (2022) arXiv preprint, arXiv:2212.07783. https://arxiv.org/abs/2212.07783
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