Patel, Ajit ; Pani, Amiya K. ; Nataraj, Neela (2008) Mortar element methods for parabolic problems Numerical Methods for Partial Differential Equations, 24 (6). pp. 1460-1484. ISSN 0749-159X
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Official URL: http://doi.org/10.1002/num.20327
Related URL: http://dx.doi.org/10.1002/num.20327
Abstract
In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial-boundary value problems. Optimal error estimates in L∞(L2) and L∞(H1)-norms for semidiscrete methods for both the cases are established. The key feature that we have adopted here is to introduce a modified elliptic projection. In the standard mortar element method, a completely discrete scheme using backward Euler scheme is discussed and optimal error estimates are derived. The results of numerical experiments support the theoretical results obtained in this article.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to John Wiley and Sons. |
| ID Code: | 122934 |
| Deposited On: | 27 Aug 2021 06:37 |
| Last Modified: | 27 Aug 2021 06:37 |
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