An MsFEM Approach Enriched Using Legendre Polynomials

نویسندگان

چکیده

We consider a variant of the conventional MsFEM approach with enrichments based on Legendre polynomials, both in bulk mesh elements and their interfaces. A convergence analysis is presented. Residue-type posteriori error estimates are also established. Numerical experiments show significant reduction at limited additional off-line cost. In particular, developed here less prone to resonance errors regime where coarse size order small scale oscillations.

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ژورنال

عنوان ژورنال: Multiscale Modeling & Simulation

سال: 2022

ISSN: ['1540-3459', '1540-3467']

DOI: https://doi.org/10.1137/21m1444151