
Conforming finite element DIVDIV complexes and the application for the linearized EinsteinBianchi system
This paper presents the first family of conforming finite element divdiv...
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An algorithm for the optimization of finite element integration loops
We present an algorithm for the optimization of a class of finite elemen...
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Orthogonality relations of CrouzeixRaviart and RaviartThomas finite element spaces
Identities that relate projections of RaviartThomas finite element vect...
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Local L^2bounded commuting projections in FEEC
We construct local projections into canonical finite element spaces that...
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Exact sequences on WorseyFarin Splits
We construct several smooth finite element spaces defined on three–dimen...
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Fast Evaluation of Finite Element Weak Forms Using Python Tensor Contraction Packages
In finite element calculations, the integral forms are usually evaluated...
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Buckling initiation in layered hydrogels during transient swelling
Subjected to compressive stresses, soft polymers with stiffness gradient...
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UFL Dual Spaces, a proposal
This white paper highlights current limitations in the algebraic closure Unified Form Language (UFL). UFL currently represents forms over finite element spaces, however finite element problems naturally result in objects in the dual to a finite element space, and operators mapping between primal and dual finite element spaces. This document sketches the relevant mathematical areas and proposes changes to the UFL language to support dual spaces as first class types in UFL.
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