Study of the enriched mixed finite element method comparing errors and computational cost with classical FEM and mixed scheme on quadrilateral meshes

DOI10.1016/j.rinam.2021.100150zbMath1477.65206OpenAlexW3133552442MaRDI QIDQ2043841

Jose Diego Ayñayanque Pastor, Ricardo Javier Hancco Ancori, Jorge L. Díaz Calle, Rómulo Walter Condori Bustincio

Publication date: 3 August 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100150

zbMATH Keywords

Raviart-Thomas spacescomputational costmixed finite elementenriched mixed finite element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
• Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs
• Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence
• A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
• Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry
• Mixed and Hybrid Finite Element Methods

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