2017/03/17 by Mirza Cenanovic, Cenanovic, Mirza
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Chemistry #Computer science #Convergence (economics) #Electromagnetic Scattering and Analysis #Finite element method #Function (biology) #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Membrane #Numerical methods in engineering #Order (exchange) #Physics #Set (abstract data type) #Signed distance function #Surface (topology) #TRACE (psycholinguistics) #Tetrahedron #Zero (linguistics)
paper · pdf · doi:10.48550/arxiv.1703.06167
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2017/03/17 · openalex created_date 2017/05/19 · openalex updated_date 2026/08/06
We consider Trace finite element methods for the linear membrane problem on second order tetrahedral elements. To accomplish this, zero-level set reconstruction methods for second order tetrahedra are considered. For the higher order membrane model a corresponding stabilization is proposed and numerically evaluated. We compare combinations of background- and surface element order and provide numerical convergence results. The impact of the stabilization on the resulting solution is numerically analyzed. We also compare the choice of level set function with respect to the geometrical distance and normal errors.