output
20022026
most citedDOLFIN: Automated Finite Element Computing

740 citations

Showing 2012 · math.NAShow all

8 papers · 2 filters

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★ 17 cited

An Adaptive Finite Element Splitting Method for the Incompressible Navier-Stokes Equations

Kristoffer Selim, Anders Logg, Mats G. Larson

We present an adaptive finite element method for the incompressible Navier--Stokes equations based on a standard splitting scheme (the incremental pressure correction scheme). The…

math.NA2012★ 27 cited

Efficient Representation of Computational Meshes

Anders Logg

We present a simple yet general and efficient approach to representation of computational meshes. Meshes are represented as sets of mesh entities of different topological dimension…

math.NA2012★ 15 cited

Benchmarking Domain-Specific Compiler Optimizations for Variational Forms

Robert C. Kirby, Anders Logg

We examine the effect of using complexity-reducing relations to generate optimized code for the evaluation of finite element variational forms. The optimizations are implemented in…

math.NA2012★ 34 cited

Efficient Compilation of a Class of Variational Forms

Robert C. Kirby, Anders Logg

We investigate the compilation of general multilinear variational forms over affines simplices and prove a representation theorem for the representation of the element tensor (elem…