Element Encylopedia

This category is a compilation of elements. It is intended to give a small introduction to each element and their applications.

Arnold Winther Stress Element

Bibliography
1. Arnold, DN and R Winther. "Mixed finite elements for elasticity". Numerische Mathematik. (2002) 92: 401–419 doi:10.1007/s002110100348
Brezzi Douglas Fortin Marini Elements

Bibliography
1. F Brezzi, J Douglas Jr, M Fortin, LD Marini. "Efficient rectangular mixed finite elements in two and three space variables". Mathematical Modelling and Numerical Analysis. vol. 21,…
Brezzi Douglas Marini Elements

Bibliography
1. Brezzi, Franco; Douglas, Jim, Jr.; Marini, L. D. "Two families of mixed finite elements for second order elliptic problems". Numerische Mathematik. vol 47. no. 2. June 1985….
Crouzeix Raviart Elements

Bibliography
1. Crouzeix, M and PA Raviart. "Conforming and nonconforming finite element methods for solving the stationary Stokes equations". 1973.
Lagrange Elements

The Lagrange element, or nodal elment, was first defined with use of Lagrange interpolation polynomials in Courant's introduction of the finite elment method [1].

1D Lagrange elements order…
Nedelec Elements

Bibliography
1. Nedelec, JC. "Mixed finite elements in ". Numerische Mathematik. vol 35, no 3. September, 1980. pp 315-341. doi:10.1007/BF01396415
2. Nedelec, JC. "A new family of mixed finite…
P Elements

Bibliography
1. Douglas N. Arnold, Richard S. Falk and Ragnar Winther. "Finite element exterior calculus, homological techniques, and applications". Acta Numerica , Volume 15, May 2006, pp 1-155….
Raviart Thomas Elements

A vector element created for mixed problems by Raviart and Thomas

Bibliography
1. Raviart, PA and JM Thomas. "A mixed finite element method for 2-nd order elliptic problems". Mathematical Aspects…
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