Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space

نویسندگان

چکیده

Considering the space-time adaptive method for parabolic evolution equations we introduced in Stevenson et al., this work discusses an implementation of which every step is linear complexity. Exploiting tensor-product structure cylinder, allows a family trial spaces given as spans wavelets-in-time tensorized with finite element spaces-in-space. On whose bases are indexed by double-trees, derive algorithm that applies resulting bilinear forms We provide extensive numerical experiments to demonstrate runtime loop.

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ژورنال

عنوان ژورنال: Numerical Linear Algebra With Applications

سال: 2022

ISSN: ['1070-5325', '1099-1506']

DOI: https://doi.org/10.1002/nla.2457