Two-dimensional \(hp\) adaptive finite element spaces for mixed formulations

DOI10.1016/j.matcom.2016.03.009OpenAlexW2334880487MaRDI QIDQ2228814

Agnaldo M. Farias, Sônia M. Gomes, Philippe Remy Bernard Devloo, Denise de Siqueira

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.03.009

zbMATH Keywords

mixed method\( \mathbf{H}(d i v)\)-conforming finite elements\(h p\)-adaptivity

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items

A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows, A posteriori error estimates for primal hybrid finite element methods applied to Poisson problem, A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields, Mixed finite element approximations of a singular elliptic problem based on some anisotropic and \(hp\)-adaptive curved quarter-point elements, Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy

Uses Software

• HP90

Cites Work

• Unnamed Item
• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
• Two families of mixed finite elements for second order elliptic problems
• HP90: A general and flexible Fortran 90 \(hp\)-FE code
• A fully automatic \(hp\)-adaptivity
• A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
• Implementation of continuous \(hp\)-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders
• Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
• Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem
• Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
• Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
• Mixed and Hybrid Finite Element Methods
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
• Computing with hp-ADAPTIVE FINITE ELEMENTS