TY - JOUR
AU1 - Dolejší, Vít
AU2 - Roskovec, Filip
AB - We deal with the numerical solution of the compressible Euler equations with the aid of the discontinuous Galerkin (DG) method with focus on the goal-oriented error estimates and adaptivity. We analyse the adjoint consistency of the DG scheme where the adjoint problem is not formulated by the differentiation of the DG form and the target functional but using a suitable linearization of the nonlinear forms. Furthermore, we present the goal-oriented anisotropic hp-mesh adaptation method for the Euler equations. The theoretical results are supported by numerical experiments.
TI - Goal-Oriented Anisotropic hp-Adaptive Discontinuous Galerkin Method for the Euler Equations
JF - Communications on Applied Mathematics and Computation
DO - 10.1007/s42967-020-00102-5
DA - 2022-03-01
UR - https://www.deepdyve.com/lp/springer-journals/goal-oriented-anisotropic-hp-adaptive-discontinuous-galerkin-method-0oanNXdDPX
SP - 143
EP - 179
VL - 4
IS - 1
DP - DeepDyve
ER -