NONCONFORMING MIXED ELEMENTS FOR ELASTICITY

By Douglas N. Arnold, Ragnar Winther. 2003

117 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3f95e519d5d3b8c6bda29016fb118129e48099df

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Richard S. Falk
2. Son-Young Yi

In Computational Mechanics

1. Richard S. Falk
2. Son-Young Yi
3. D. Boffi
4. Ragnar Winther

In Mechanics of Materials

1. Richard S. Falk
2. Son-Young Yi

Citations in the corpus

• Finite element approximations of symmetric tensors on simplicial grids in Rn: the lower order case (2014, unknown): “0], Arnold and Winther designed the first family of mixed finite element methods in 2D, based on polynomial shape function spaces. From then on, various stable mixed elements have been constructed, see [2, 5, 6, 10, 12, 18, 11, 22, 26, 32, 39, 40, 9, 13, 20, 23, 24, 28, 27]. For first order systems wit”
• Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions (2005, methodology): “Later, Arnold and Winther [8] further simplified the spaces by using nonconforming finite element methods.”
• A family of conforming mixed finite elements for linear elasticity on triangular grids (2014, unknown): “From then on, various stable mixed elements have been constructed, see [2, 4, 5, 9, 11, 17], [10, 19, 23, 27, 33, 34], and [8, 12, 18, 20, 21].”
• Finite Element Methods for Linear Elasticity (2008, background): “In [ 12 ], the authors obtain simpler elements with fewer degrees of freedom, and also avoid the use of vertex degrees of freedom by developing nonconforming elements.”