Automated mesh adaptation is known to be an efficient way to control discretization errors in
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …

The expansion of modern computing power has seen a commensurate rise in the reliance
on numerical simulations for engineering and scientific purposes. Output error estimation …

In this article, a high-order solution-based mesh adaptation method is investigated. This
later, which is called the log-simplex method, relies on the approximation of high-order …

We present a high-order consistent compressible flow solver, based on a hybridized
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …

In this paper we propose an adjoint-based hp-adaptation method for conservation laws, and
corresponding numerical schemes based on piecewise polynomial approximation spaces …

The stabilized finite element solver, FUN3D-SFE, along with the grid mechanics
package\refine are verified for aerospace applications of laminar and turbulent flow …

We propose an efficient mesh adaptive method for the numerical solution of time-dependent
partial differential equations considered in the fixed space-time cylinder Ω×(0, T). We employ …

The computation of flows of viscoelastic fluids is expensive compared to standard fluids.
Besides degrees-of-freedom for velocity and pressure, the viscoelastic stresses introduce an …

Abstract Certain Petrov-Galerkin schemes deliver inherently stable formulations of
variational problems on a given mesh by selecting appropriate pairs of trial and test spaces …

We present an anisotropic hp-mesh adaptation strategy using a continuous mesh model for
discontinuous Petrov-Galerkin (DPG) finite element schemes with optimal test functions …