Explicit construction of computational bases for \(\mathrm{RT}_k\) and \(\mathrm{BDM}_k\) spaces in \(\mathbb R^3\)

DOI10.1016/j.camwa.2017.01.017zbMath1372.65303OpenAlexW2587893739MaRDI QIDQ2401992

Alistair Bentley

Publication date: 6 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.017

zbMATH Keywords

triangulationfinite element\(\mathrm{BDM}_k\) basis\(\mathrm{RT}_k\) basis\(H_{\operatorname{div}}\)Brezzi-Douglas-Marini basisRaviart-Thomas basis

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

On basis constructions in finite element exterior calculus ⋮ A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity

Uses Software

• NGSolve

Cites Work

• Unnamed Item
• Computational bases for \(RT_k\) and \(BDM_k\) on triangles
• Geometric decompositions and local bases for spaces of finite element differential forms
• Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements
• Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
• Mixed and Hybrid Finite Element Methods
• Hierarchic finite element bases on unstructured tetrahedral meshes

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