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, no...

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. 217 235....

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 1...

Nedelec Elements

Bibliography 1. Nedelec, JC. Mixed finite elements in ${\bb R}^3$ . Numerische Mathematik. vol 35, no 3. September, 1980. pp 315-341. doi:10.1007/BF01396415 2. Nedelec, JC. A new family of mixed...

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 of...