740 citations · 1.8k across the 35 of their papers we have counts for
19 papers · 2 filters
Efficient implementation of finite element methods on non-matching and overlapping meshes in 3D
André Massing, Mats G. Larson, Anders Logg
In recent years, a number of finite element methods have been formulated for the solution of partial differential equations on complex geometries based on non-matching or overlappi…
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…
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…
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…
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…
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…