| Title | ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA |
| Author | |
| Corresponding Author | Wang，Kai |
| Publication Years | 2022
|
| DOI | |
| Source Title | |
| ISSN | 0254-9409
|
| EISSN | 1991-7139
|
| Volume | 40Issue:5Pages:781-797 |
| Abstract | This article concerns numerical approximation of a parabolic interface problem with general L-2 initial value. The problem is discretized by a finite element method with a quasi-uniform triangulation of the domain fitting the interface, with piecewise linear approximation to the interface. The semi-discrete finite element problem is furthermore discretized in time by the k-step backward difference formula with k = 1, ...,6. To maintain high-order convergence in time for possibly nonsmooth L-2 initial value, we modify the standard backward difference formula at the first k-1 time levels by using a method recently developed for fractional evolution equations. An error bound of O(t(n)(-k)tau(k)+ t(n)(-1)h(2)vertical bar log h vertical bar) is established for the fully discrete finite element method for general L-2 initial data. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
; Mathematics
|
| WOS Accession No | WOS:000819503800006
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Scopus EID | 2-s2.0-85132757920
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/352510 |
| Department | Department of Mathematics |
| Affiliation | 1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518005,China 2.Applied and Computational Mathematics Division,Beijing Computational Science Research Center,Beijing,100193,China |
| First Author Affilication | Department of Mathematics |
| Corresponding Author Affilication | Department of Mathematics |
| First Author's First Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Wang，Kai,Wang，Na. ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2022,40(5):781-797.
|
| APA |
Wang，Kai,&Wang，Na.(2022).ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA.JOURNAL OF COMPUTATIONAL MATHEMATICS,40(5),781-797.
|
| MLA |
Wang，Kai,et al."ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA".JOURNAL OF COMPUTATIONAL MATHEMATICS 40.5(2022):781-797.
|
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