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http://hdl.handle.net/10397/98654
| Title: | Maximal regularity of fully discrete finite element solutions of parabolic equations | Authors: | Li, B Sun, W |
Issue Date: | 2017 | Source: | SIAM journal on numerical analysis, 2017, v. 55, no. 2, p. 521-542 | 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. Optimalorder error estimates of fully discrete finite element solutions in the norm of lp(Lq) follows immediately. | Keywords: | Nonlinear parabolic equations BDF methods Discrete maximal parabolic regularity Maximum-norm error analysis Energy technique Time-dependent norms |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on numerical analysis | ISSN: | 0036-1429 | EISSN: | 1095-7170 | DOI: | 10.1137/16M1071912 | Rights: | © 2017 Society for Industrial and Applied Mathematics The following publication Li, B., & Sun, W. (2017). Maximal regularity of fully discrete finite element solutions of parabolic equations. SIAM Journal on Numerical Analysis, 55(2), 521-542 is available at https://doi.org/10.1137/16M1071912. |
| Appears in Collections: | Journal/Magazine Article |
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| 16m1071912.pdf | 257.33 kB | Adobe PDF | View/Open |
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