A Family of Finite Element Stokes Complexes in Three Dimensions

Finite Element Mesh Optimization in Three Dimensions

We discuss an optimization procedure for improving three-dimensional finite element meshes. Our method can be effectively coupled with any automatic mesh generator in order to obtain a triangulation without badly distorted elements. In this way, we are able to weaken the requirements on the generator, allowing it to produce singular elements, and post-process the result to get a valid mesh. Eve...

On Higher Order Finite Element Discretizations for the Incompressible Navier-stokes Equations in Three Dimensions

A Mixed Finite Element Method for Elasticity in Three Dimensions

We describe a stable mixed finite element method for linear elasticity in three dimensions.

Locally Optimal Unstructured Finite Element Meshes in Three Dimensions

This paper investigates the adaptive finite element solution of a general class of variational problems in three dimensions using a combination of node movement, edge swapping, face swapping and node insertion. The adaptive strategy proposed is a generalization of previous work in two dimensions and is based upon the construction of a hierarchy of locally optimal meshes. Results presented, both...

Three-dimensional Finite Element Methods for the Stokes Problem

The tetrahedral finite element approximation of the Stokes problem is analyzed by means of polynomials piecewise of degree k +1 for the velocity and continuous piecewise of degree k for the pressure. A stability result is given for every k ≥ 1.