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Reduced basis exact error estimates withwavelets

Lecture Notes in Computational Science and Engineering (2016) 112 359-367
DOI: 10.1007/978-3-319-39929-4_34
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Abstract

A (multi-)wavelet expansion is used to derive a rigorous bound for the (dual) norm Reduced Basis residual. We show theoretically and numerically that the error estimator is online efficient, reliable and rigorous. It allows to control the exact error (not only with respect to a “truth” discretization).

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Ali, M., & Urban, K. (2016). Reduced basis exact error estimates withwavelets. In Lecture Notes in Computational Science and Engineering (Vol. 112, pp. 359–367). Springer Verlag. https://doi.org/10.1007/978-3-319-39929-4_34

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