An overview of the software design and data abstraction decisions chosen for deal. II, a
general purpose finite element library written in C++, is given. The library uses advanced …

These Lecture Notes have been compiled from the material presented by the second author
in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH …

In this paper a recently developed approach for the design of adaptive discontinuous
Galerkin finite element methods is applied to physically relevant problems arising in inviscid …

New unstructured high order methods hold the promise of transforming industrial? CFD
practices. Their combination of high precision, high geometrical flexibility? and parallel …

Abstract We present the Interior Penalty discontinuous Galerkin method for the compressible
Navier–Stokes equations. Shock‐capturing is used to reduce over‐shoots at discontinuities …

In this article we propose a new symmetric version of the interior penalty discontinuous
Galerkin finite element method for the numerical approximation of the compressible Navier …

In this article we present the extension of the a posteriori error estimation and goal-oriented
mesh refinement approach from laminar to turbulent flows, which are governed by the …

In this article we consider the application of the generalization of the symmetric version of
the interior penalty discontinuous Galerkin finite element method to the numerical …

Important quantities in aerodynamic flow simulations are the aerodynamic force coefficients
including the pressure induced and the viscous stress induced drag, lift, and moment …

We consider the adjoint-based error estimation and goal-oriented mesh refinement for
single and multiple aerodynamic force coefficients as well as residual-based mesh …