A Posteriori L∞(L2)

被引：2

作者：

Sabawi, Younis A. ^{[1
,2
]}

机构：

[1] Koya Univ, Fac Sci & Hlth, Dept Math, Koya KOY45, Erbil Fr, Iraq

[2] Tishk Int Univ, Fac Educ, Dept Math Educ, Erbil, Iraq

来源：

BAGHDAD SCIENCE JOURNAL | 2021年 / 18卷 / 03期

关键词：

A posteriori error estimates; Discontinuous Galerkin methods; Interface semilinear parabolic problems; DISCONTINUOUS GALERKIN METHODS; ERROR ESTIMATION; PARABOLIC EQUATIONS; MASS-TRANSFER; MAXIMUM NORM; BLOW-UP;

D O I：

10.21123/bsj.2021.18.3.0522

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the L-infinity(L-2) + L-2(H-1)- norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.

引用

页码：522 / 530

页数：9

共 30 条

[21] Metcalfe SA, 2015, THESIS U LEICESTER
[22] A POSTERIORI ERROR ESTIMATION WITH FINITE-ELEMENT SEMI-DISCRETE AND FULLY DISCRETE METHODS FOR NONLINEAR PARABOLIC EQUATIONS IN ONE SPACE DIMENSION
MOORE, PK
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (01) : 149 - 169
[23] Sabawi Mohammad, 2018, 2018 2nd International Conference for Engineering, Technology and Sciences of Al-Kitab (ICETS), P22, DOI 10.1109/ICETS.2018.8724622
[24] Sabawi Mohammad, 2018, 2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT), P58, DOI 10.1109/NTCCIT.2018.8681193
[25] Sabawi MA, 2018, DISCONTINUOUS GALERK
[26] Sabawi Younis A., 2019, 2019 First International Conference of Computer and Applied Sciences (CAS), P102, DOI 10.1109/CAS47993.2019.9075699
[27] Sabawi YA, 2020, POSTERIORI ERROR ANA
[28] Sabawi YA, 2017, THESIS U LEICESTER L
[29] A posteriori error analysis of semilinear parabolic interface problems using elliptic reconstruction
Sen Gupta, Jhuma
Sinha, Rajen Kumar
[J]. APPLICABLE ANALYSIS, 2018, 97 (04) : 552 - 570
[30] Long-time L∞(L2) a posteriori error estimates for fully discrete parabolic problems
Sutton, Oliver J.
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 40 (01) : 498 - 529

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