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 …

We deal with the goal-oriented error estimates and mesh adaptation for nonlinear partial
differential equations. The setting of the adjoint problem and the resulting estimates are not …

Recently, many advances have been done in the field of space-time finite element
discretizations for nonstationary partial differential equations. The temporal dimension leads …

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

This paper presents a framework for anisotropic unstructured all-quad mesh adaptation. The
technique is suitable for use with a diverse class of numerical methods, including the high …

We propose a goal-oriented mesh-adaptive algorithm for a finite element method stabilized
via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point …

Partial differential equations (PDE) govern many problems of scientific and engineering
interest. Consequently, numerical solution of PDE has become a key technology in the …

We present a hybridized discontinuous Galerkin (HDG) solver for general time‐dependent
balance laws. In particular, we focus on a coupling of the solution process for unsteady …

This work proposes a unified hp-adaptivity framework for hybridized discontinuous Galerkin
(HDG) method for a large class of partial differential equations (PDEs) of Friedrichs' type. In …

We deal with the numerical solution of linear partial differential equations (PDEs) with focus
on the goal-oriented error estimates including algebraic errors arising by an inaccurate …