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pro vyhledávání: '"Rüdiger Verfürth"'
Autor:
Rüdiger Verfürth
Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed toleran
Publikováno v:
Computational Methods in Applied Mathematics. 21:423-443
We approximate the solution of the Stokes equations by a new quasi-optimal and pressure robust discontinuous Galerkin discretization of arbitrary order. This means quasi-optimality of the velocity error independent of the pressure. Moreover, the disc
Publikováno v:
Oberwolfach Reports. 13:2399-2464
Autor:
Rüdiger Verfürth
Publikováno v:
Calcolo. 55
Motivated by stochastic convection---diffusion problems we derive a posteriori error estimates for non-stationary non-linear convection---diffusion equations acting as a deterministic paradigm. The problem considered here neither fits into the standa
Autor:
Rüdiger Verfürth, Pietro Zanotti
We present a modification of the Crouzeix-Raviart discretization of the Stokes equations in arbitrary dimension which is quasi-optimal, in the sense that the error of the discrete velocity field in a broken $H^1$-norm is proportional to the error of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3d9450013918221bbd5532b7b77458f
Autor:
Rüdiger Verfürth, Lutz Tobiska
Publikováno v:
IMA Journal of Numerical Analysis. 35:1652-1671
There is a wide range of stabilized finite element methods for stationary and non-stationary convection-diffusion equations such as streamline diffusion methods, local projection schemes, subgrid-scale techniques, and continuous interior penalty meth
Autor:
Andreas Veeser, Rüdiger Verfürth
Publikováno v:
IMA Journal of Numerical Analysis. 32:30-47
Autor:
Rüdiger Verfürth
Publikováno v:
Calcolo. 47:149-167
We present a novel a posteriori error analysis of space-time finite element discretizations of the time-dependent Stokes equations. Our analysis is based on the equivalence of error and residual and a suitable decomposition of the residual into spati
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 43:1185-1201
We consider a variational formulation of the three-dimensional Navier–Stokes equations with mixed boundary conditions and prove that the variational problem admits a solution provided that the domain satisfies a suitable regularity assumption. Next
Autor:
Rüdiger Verfürth
Publikováno v:
SIAM Journal on Numerical Analysis. 47:3180-3194
In this note we look at constant-free a posteriori error estimates from a different perspective. We show that they can be interpreted as an alternative way of expressing the residual of a finite element approximation and thus fit into the same framew