6 papers · 1 filter
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
A Scalable Monolithic Modified Newton Multigrid Framework for Time-Dependent -Navier-Stokes Flow
Nils Margenberg, Carolin Mehlmann
Fully implicit tensor-product space-time discretizations of time-dependent -Navier-Stokes models yield, on each time step, large nonlinear monolithic saddle-point systems. I…
A Monolithic hp Space-Time Multigrid Preconditioned Newton-Krylov Solver for Space-Time FEM applied to the Incompressible Navier-Stokes Equations
Nils Margenberg, Markus Bause
We present a monolithic hp space-time multigrid method (hp-STMG) for tensor-product space-time finite element discretizations of the incompressible Navier-Stokes equations. We empl…
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer +3
In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations.…
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations
M. Bause, M. Bruchhäuser, B. Endtmayer +3
We present an anisotropic goal-oriented error estimator based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. Using ani…
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
Nils Margenberg, Markus Bause, Peter Munch
We present a monolithic space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening o…