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# Local L^2-bounded commuting projections in FEEC

We construct local projections into canonical finite element spaces that appear in the finite element exterior calculus. These projections are bounded in L^2 and commute with the exterior derivative.

• 4 publications
• 17 publications
05/06/2020

### Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces

Identities that relate projections of Raviart-Thomas finite element vect...
08/18/2022

### A framework for implementing general virtual element spaces

In this paper we develop a framework for the construction and implementa...
05/26/2020

### Note on Local Projections as a System of Equations

This note discusses inference of local projections. We examine the relat...
05/09/2019

### Projections onto the canonical simplex with additional linear inequalities

We consider projections onto the canonical simplex with additional linea...
12/23/2019

### Symmetry and Invariant Bases in Finite Element Exterior Calculus

We study symmetries of bases and spanning sets in finite element exterio...
12/11/2021

### Symmetric bases for finite element exterior calculus spaces

In 2006, Arnold, Falk, and Winther developed finite element exterior cal...
01/19/2018

### Bayesian Inference of Local Projections with Roughness Penalty Priors

A local projection is a statistical framework that accounts for the rela...