A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations
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 …
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …
Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors
V Dolejší, O Bartoš, F Roskovec - Computers & Mathematics with …, 2021 - Elsevier
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 …
differential equations. The setting of the adjoint problem and the resulting estimates are not …
Error-controlled space-time finite elements, algorithms and implementations for nonstationary problems
JP Thiele - 2024 - repo.uni-hannover.de
Recently, many advances have been done in the field of space-time finite element
discretizations for nonstationary partial differential equations. The temporal dimension leads …
discretizations for nonstationary partial differential equations. The temporal dimension leads …
A hybridized discontinuous Galerkin solver for high-speed compressible flow
We present a high-order consistent compressible flow solver, based on a hybridized
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …
Anisotropic mesh generation and adaptation for quads using the Lp-CVT method
K MacLean, S Nadarajah - Journal of Computational Physics, 2022 - Elsevier
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 …
technique is suitable for use with a diverse class of numerical methods, including the high …
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
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 …
via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point …
[图书][B] Anisotropic hp-Mesh Adaptation Methods
V Dolejší, G May - 2022 - Springer
Partial differential equations (PDE) govern many problems of scientific and engineering
interest. Consequently, numerical solution of PDE has become a key technology in the …
interest. Consequently, numerical solution of PDE has become a key technology in the …
Conservative solution transfer between anisotropic meshes for time‐accurate hybridized discontinuous Galerkin methods
T Levý, G May - International Journal for Numerical Methods in …, 2024 - Wiley Online Library
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 …
balance laws. In particular, we focus on a coupling of the solution process for unsteady …
A unified hp-HDG framework for Friedrichs' PDE systems
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 …
(HDG) method for a large class of partial differential equations (PDEs) of Friedrichs' type. In …
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates
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 …
on the goal-oriented error estimates including algebraic errors arising by an inaccurate …