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Time-step heat problem on the mesh: asymptotic behavior and decay rates.
- Source :
-
Forum Mathematicum . Nov2023, Vol. 35 Issue 6, p1563-1582. 20p. - Publication Year :
- 2023
-
Abstract
- In this article, we study the asymptotic behavior and decay of the solution of the fully discrete heat problem. We show basic properties of its solutions, such as the mass conservation principle and their moments, and we compare them to the known ones for the continuous analogue problems. We present the fundamental solution, which is given in terms of spherical harmonics, and we state pointwise and ℓ p estimates for that. Such considerations allow to prove decay and large-time behavior results for the solutions of the fully discrete heat problem, giving the corresponding rates of convergence on ℓ p spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SPHERICAL harmonics
*CONSERVATION of mass
*HEAT equation
Subjects
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 35
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 173364369
- Full Text :
- https://doi.org/10.1515/forum-2022-0334