Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 521-542 |
| Journal / Publication | SIAM Journal on Numerical Analysis |
| Volume | 55 |
| Issue number | 2 |
| Online published | 7 Mar 2017 |
| Publication status | Published - 2017 |
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| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85019008154&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(aa29cee2-3494-4e76-9301-d0731f492769).html |
Abstract
We establish the maximal lp-regularity for fully discrete finite element solutions of parabolic equations with time-dependent Lipschitz continuous coefficients. The analysis is based on a discrete lp(W1,q) estimate together with a duality argument and a perturbation method. Optimal-order error estimates of fully discrete finite element solutions in the norm of lp(Lq) follows immediately.
Research Area(s)
- nonlinear parabolic equations, BDF methods, discrete maximal parabolic regularity, maximum-norm error analysis, energy technique, time-dependent norms
Citation Format(s)
Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. / Li, Buyang; Sun, Weiwei.
In: SIAM Journal on Numerical Analysis, Vol. 55, No. 2, 2017, p. 521-542.
In: SIAM Journal on Numerical Analysis, Vol. 55, No. 2, 2017, p. 521-542.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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