一种适用于大区域的鲁棒DPG方法
A robust DPG method for large domains
摘要：
我们观察到一个戏剧性的缺乏鲁棒性的DPG方法解决问题时，大型域和稳定性是基于庞加莱型不等式。我们展示了如何鲁棒性可以通过使用适当的缩放测试规范重新建立。作为模型的情况下，我们研究的泊松问题和基尔霍夫-爱板弯曲模型，也包括完全离散的最佳检验函数近似的变量。对两个模型问题，包括各向异性区域和混合边界条件的数值实验，证实了我们的研究结果。
英文摘要：
We observe a dramatic lack of robustness of the DPG method when solving problems on large domains and where stability is based on a Poincaré-type inequality. We show how robustness can be re-established by using appropriately scaled test norms. As model cases we study the Poisson problem and the Kirchhoff--Love plate bending model, and also include fully discrete variants where optimal test functions are approximated. Numerical experiments for both model problems, including an-isotropic domains and mixed boundary conditions, confirm our findings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
