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20092025
most citedAutomated derivation of the adjoint of high-level transient finite element programs

256 citations · 571 across the 29 of their papers we have counts for

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Showing 2012Show all

6 papers · 1 filter

cs.MS2012

Unified Form Language: A domain-specific language for weak formulations of partial differential equations

Martin S. Alnaes, Anders Logg, Kristian B. Oelgaard +2

We present the Unified Form Language (UFL), which is a domain-specific language for representing weak formulations of partial differential equations with a view to numerical approx…

math.NA2012★ 2 cited

A stabilized Nitsche fictitious domain method for the Stokes problem

Andre Massing, Mats G. Larson, Anders Logg +1

We develop a Nitsche fictitious domain method for the Stokes problem starting from a stabilized Galerkin finite element method with low order elements for both the velocity and the…

math.NA2012★ 1 cited

A stabilized Nitsche overlapping mesh method for the Stokes problem

André Massing, Mats G. Larson, Anders Logg +1

We develop a Nitsche-based formulation for a general class of stabilized finite element methods for the Stokes problem posed on a pair of overlapping, non-matching meshes. By ex- t…

math.NA2012★ 112 cited

Efficient Assembly of H(div) and H(curl) Conforming Finite Elements

Marie Rognes, Robert C. Kirby, Anders Logg

In this paper, we discuss how to efficiently evaluate and assemble general finite element variational forms on H(div) and H(curl). The proposed strategy relies on a decomposition o…

math.NA2012★ 2 cited

Automated goal-oriented error control I: stationary variational problems

Marie E. Rognes, Anders Logg

This article presents a general and novel approach to the automation of goal-oriented error control in the solution of nonlinear stationary finite element variational problems. The…

cs.MS2012★ 256 cited

Automated derivation of the adjoint of high-level transient finite element programs

Patrick E. Farrell, David A. Ham, Simon F. Funke +1

In this paper we demonstrate a new technique for deriving discrete adjoint and tangent linear models of finite element models. The technique is significantly more efficient and aut…