activity
20032026
most citedDOLFIN: Automated Finite Element Computing

740 citations · 1.8k across the 28 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

math.OC2011★ 74 cited

Optimal control with stochastic PDE constraints and uncertain controls

Eveline Rosseel, Garth N. Wells

The optimal control of problems that are constrained by partial differential equations with uncertainties and with uncertain controls is addressed. The Lagrangian that defines the…

cs.MS2011★ 57 cited

Automated code generation for discontinuous Galerkin methods

Kristian B. Ølgaard, Anders Logg, Garth N. Wells

A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors convention…

cs.MS2011★ 116 cited

Optimisations for quadrature representations of finite element tensors through automated code generation

Kristian B. Ølgaard, Garth N. Wells

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 resemb…

cs.MS2011★ 740 cited

DOLFIN: Automated Finite Element Computing

Anders Logg, Garth N. Wells

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 gene…

cs.CE2011★ 34 cited

A FEniCS-Based Programming Framework for Modeling Turbulent Flow by the Reynolds-Averaged Navier-Stokes Equations

Mikael Mortensen, Hans Petter Langtangen, Garth N. Wells

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the de…