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Unified Implementation of Finite Element Methods involving Jumps and Averages in Matlab

2022/09/22 by Yu, Yue
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2209.10800

Abstract

We provide unified implementations of the finite element methods involving jumps and averages in Maltab by combing the use of the software package varFEM, including the adaptive finite element methods for the Poisson equation and the C0 interior penalty methods for the biharmonic equation. The design ideas can be extended to other Galerkin-based methods, for example, the discontinuous Galerkin methods and the virtual element methods.

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