Mathematics - Numerical Analysis

Construction of Basis Functions for the Geometry Conforming Immersed Finite Element Method
The Frenet apparatus is a recently developed framework for constructing high order geometry-conforming immersed finite element (GC-IFE) functions for interface problems. In this report, we present computational details for constructing the local GC-IFE bases on interface elements, including procedures based on singular value decomposition to produce a GC-IFE basis with a desirable orthonormal feature.
Slimane Adjerid, Tao Lin, Haroun Meghaichi
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