Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations
Applied Numerical Mathematics
An assessment of two models for the subgrid scale tensor in the rational LES model
Journal of Computational and Applied Mathematics
On the performance of SOLD methods for convection diffusion problems with interior layers
International Journal of Computing Science and Mathematics
Journal of Computational Physics
Applied Numerical Mathematics
A variational multiscale method for turbulent flow simulation with adaptive large scale space
Journal of Computational Physics
Derivation and analysis of near wall modelsfor channel and recirculating flows
Computers & Mathematics with Applications
Finite element LES and VMS methods on tetrahedral meshes
Journal of Computational and Applied Mathematics
Finite element methods of an operator splitting applied to population balance equations
Journal of Computational and Applied Mathematics
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
SIAM Journal on Numerical Analysis
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations
Journal of Computational Physics
Finite element error estimates for Neumann boundary control problems on graded meshes
Computational Optimization and Applications
A two-level local projection stabilisation on uniformly refined triangular meshes
Numerical Algorithms
Applied Numerical Mathematics
A numerical investigation of velocity-pressure reduced order models for incompressible flows
Journal of Computational Physics
An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods
Journal of Computational and Applied Mathematics
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The basis of mapped finite element methods are reference elements where the components of a local finite element are defined. The local finite element on an arbitrary mesh cell will be given by a map from the reference mesh cell. This paper describes some concepts of the implementation of mapped finite element methods. From the definition of mapped finite elements, only local degrees of freedom are available. These local degrees of freedom have to be assigned to the global degrees of freedom which define the finite element space. We will present an algorithm which computes this assignment. The second part of the paper shows examples of algorithms which are implemented with the help of mapped finite elements. In particular, we explain how the evaluation of integrals and the transfer between arbitrary finite element spaces can be implemented easily and computed efficiently.