Nonconforming Mortar Element Methods: Application to Spectral Discretizations

By National Aeronautics and Space Administration

Spectral element methods are p-type weighted residual techniques for partial differential equations that combine the generality of finite element methods with the accuracy of spectral methods. Presented here is a new nonconforming discretization which greatly improves the flexibility of the spectral element approach as regards automatic mesh generation and non-propagating local mesh refinement. The method is based on the introduction of an auxiliary mortar trace space, and constitutes a new approach to discretization-driven domain decomposition characterized by a clean decoupling of the local, structure-preserving residual evaluations and the transmission of boundary and continuity conditions. The flexibility of the mortar method is illustrated by several nonconforming adaptive Navier-Stokes calculations in complex geometry. Maday, Yvon and Mavriplis, Cathy and Patera, Anthony Langley Research Center NAS1-18107; NAS1-18605; RTOP 505-90-21-01...

• Format: Paperback
• Language: English
• ISBN: 1729034896
• ISBN13: 9781729034897
• Release Date: January 1
• Publisher: Independently Published
• Length: 34 Pages
• Weight: 0.23 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"