93 citations · 208 across the 38 of their papers we have counts for
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Goal-oriented space-time adaptivity for the Navier--Stokes equations based on the dual weighted residual method
Marius Paul Bruchhäuser, Nils Margenberg, Markus Bause
This work presents a goal-oriented a posteriori error estimator based on the Dual Weighted Residual (DWR) method together with space-time mesh adaptivity for the Navier--Stokes equ…
Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations
Moataz Dawor, Nils Margenberg, Markus Bause
Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational…
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…