hp submeshing via non-conforming finite element methods

✍ Scribed by Padmanabhan Seshaiyer; Manil Suri

• Book ID: 104268362
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 455 KB
• Volume: 189
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00414-4

✦ Synopsis

Non-conformity in the hp version can involve incompatibility in both the degrees and the meshes between adjoining subdomains. In this paper, we show how the mortar ®nite element method M0 and two new variants M1, M2 can be used to join together such incompatible hp sub-discretizations. Our results show optimality of the resulting non-conforming method for various hY p and hp discretizations, including the case of exponential hp convergence over geometric meshes. We also present numerical results for the Lagrange multiplier when the method is implemented via a mixed method. Three-dimensional considerations suggest that our methods M1, M2 are easier to generalize to arbitrary meshes than M0.