L Sub 2 -Projection for Transferring Data Between Finite Element Meshes

摘要

This paper examines the L sub 2 -projection method for transferring data between different finite element function spaces. Theoretical results are presented which indicate that the L sub 2 -projection conserves momentum and energy almost optimally during the transferral process for constant mass density systems. The general formulation of the L sub 2 -projection method for any given mesh data in any number of spatial dimensions or for any finite element spaces is presented. (ERA citation 09:007072)