arXiv:2105.03002 Abstract | arXiv Analytics

arXiv:2105.03002 [math.NA]Abstract References Reviews Resources

Comparing Lagrange and Mixed finite element methods using MFEM library

Published 2021-05-06Version 1

In this paper, we develop two finite element formulations for the Laplace problem and find the way in which they are equivalent. Then we compare the solutions obtained by both formulations, by changing the order of the shape functions and the refinement level of the mesh (star with rhomboidal elements). And, we will give an overview of MFEM library from the LLNL (Lawrence Livermore National Laboratory), as it is the library used to obtain the solutions.

Categories: math.NA, cs.NA

Subjects: 65N30

Keywords: mixed finite element methods, mfem library, lawrence livermore national laboratory, finite element formulations, shape functions

Related articles: Most relevant | Search more

arXiv:0712.1241 [math.NA] (Published 2007-12-07)

Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method

Xiaobing Feng, Michael Neilan

arXiv:math/0701506 [math.NA] (Published 2007-01-18)

Mixed finite element methods for linear elasticity with weakly imposed symmetry

Douglas N. Arnold, Richard S. Falk, Ragnar Winther

arXiv:2304.13376 [math.NA] (Published 2023-04-26)

Mixed finite element methods for nonlinear reaction-diffusion equations with interfaces