Nonconforming mortar element methods: Application to spectral discretizations

Spectral element methods are p-type weighted res dual techniques for partial differential equations that combine the generality of finite element rrethods with the accuracy of spectral methods. We present here a new nonconforming discretizatio_l 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 introduct on of an auxiliary "mortar" trace space, and constitutes a new approach to discretization-driven ,[omain decomposition characterized by a clean decoupling of the local, structure-preserving residuai evaluations and the transmission of boundary and continuity conditions. The flexibility of the m,>rtar method is illustrated by several nonconforming adaptive Navier-Stokes calculations in complex geometry. This research was supported by the National Aero_autics and Space Administration under NASA Contract Nos. NASI-18107 and NAS1-18605 while the first author was in residence at the Insitute for Computer Applications in Science and Engineering (ICASE), NA:!_A Langley Research Center, Hampton, VA 23665. Nonconforming Mortar Element Methods: Application to Spectral Discretizations

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