Mortar element methods for parabolic problems

✍ Scribed by Ajit Patel; Amiya K. Pani; Neela Nataraj

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 291 KB
• Volume: 24
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/num.20327

✦ Synopsis

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^∞^(L^2^) and L^∞^(H^1^)‐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. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008