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arXiv · 1208.5011

Reduced Basis A Posteriori Error Bounds for Symmetric Parametrized Saddle Point Problems

Anna-Lena Gerner·Karen Veroy
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Abstract

This paper directly builds upon previous work where we introduced new reduced basis a posteriori error bounds for parametrized saddle point problems based on Brezzi's theory. We here sharpen these estimates for the special case of a symmetric problem. Numerical results provide a direct comparison with former approaches and quantify the superiority of the new developed error bounds in practice: Effectivities now decrease significantly; consequently, the proposed methods provide accurate reduced basis approximations at much less computational cost.

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Anna-Lena Gerner, Karen Veroy. 2012-08-24. Reduced Basis A Posteriori Error Bounds for Symmetric Parametrized Saddle Point Problems. https://arxiv.org/abs/1208.5011

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