AbstractRecently, it was discovered that the entropy-conserving/dissipative
high-order split-form discontinuous Galerkin discretizations have robustness
issues when trying to solve the simple density wave propagation example for the
compressible Euler equations. The issue is related to missing local linear
stability, i.e., the stability of the discretization towards perturbations added
to a stable... hiện toàn bộ
Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
AbstractMany interesting applications of hyperbolic systems of equations are
stiff, and require the time step to satisfy restrictive stability conditions.
One way to avoid small time steps is to use implicit time integration. Implicit
integration is quite straightforward for first-order schemes. High order schemes
instead also need to control spurious oscillations, which requires limiting in
space... hiện toàn bộ
AbstractWe propose a p-multilevel preconditioner for hybrid high-order (HHO)
discretizations of the Stokes equation, numerically assess its performance on
two variants of the method, and compare with a classical discontinuous Galerkin
scheme. An efficient implementation is proposed where coarse level operators are
inherited using $$L^2$$ L 2 -orthogonal projections defined over mesh faces and
the ... hiện toàn bộ