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Representations of finite element tensors via automated code generation
(2009-02-26)
We examine aspects of the computation of finite element matrices and vectors which are made possible by automated code generation. Given a variational form in a syntax which resembles standard mathematical notation, the ...
Supporting material for the paper 'Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation'
(2010-10-20)
Supporting computer code for the paper 'Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation', by Garth N. Wells.
DOLFIN: Automated Finite Element Computing
(2009)
We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level ...
Analysis of a finite element formulation for modelling phase separation
(Springer, 2007)
The Cahn-Hilliard equation is of importance in materials science and a range of other fields. It represents a diffuse interface model for simulating the evolution of phase separation in solids and fluids, and is a nonlinear ...
Supporting material for the paper 'Automated Modelling of Evolving Discontinuities'
(2009-07-23)
This computer code is in support of the paper 'Automated Modelling of Evolving Discontinuities' by Mehdi Nikbakht and Garth N. Wells in the journal Algorithms.
Supporting material for the paper 'Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation'
(2009-10-28)
This solver is in support of the paper 'Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation', by Garth N. Wells
Discontinuous modelling of strain localisation and failure
(Delft University of Technology, 2001-06-12)
The computational simulation of failure in solids poses many challenges. A proper understanding of how structures respond under loading, both before and past the peak load, is important for safe and economical constructions. ...
An interface element based on the partition of unity
(Delft University of Technology, 2001)
An alternative interface finite element is developed. By using the partition of unity property of finite element shape functions, discontinuous shape functions are added to the standard finite element basis. The interface ...
A $C^0$ discontinuous Galerkin formulation for thin shells
(2007)
This paper presents a C 0 discontinuous Galerkin formulation for the simulation of thin shells. The method is based on Koiter’s shell model and allows finite element solutions to be obtained by using standard $C^0$ Lagrange ...