Guaranteed velocity error control for the pseudostress approximation of the Stokes equations
Author:
Affiliation:
1. Department of Mathematics; Humboldt-Universität zu Berlin; Unter den Linden6 10099 Berlin Germany
2. Weierstrass Institute for Applied Analysis and Stochastics; Mohrenstrasse 39 10117 Berlin Germany
Funder
Deutsche Forschungsgemeinschaft (DFG) Research Center MATHEON
Berlin Mathematical School (BMS)
Publisher
Wiley
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis
Reference22 articles.
1. Least-squares methods for incompressible Newtonian fluid flow: linear stationary problems;Cai;SIAM J Numer Anal,2004
2. A multigrid method for the pseudostress formulation of Stokes problems;Cai;SIAM J Sci Comput,2007
3. A priori and a posteriori pseudostress-velocity mixed finite element error analysis for the Stokes problem;Carstensen;SIAM J Numer Anal,2011
4. Quasi-optimal adaptive pseudostress approximation of the stokes equations;Carstensen;SIAM J Numer Anal,2013
5. Estimator competition for Poisson problems;Carstensen;J Comput Math,2010
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1. Guaranteed Upper Bounds For The Velocity Error Of Pressure-Robust Stokes Discretisations;Journal of Numerical Mathematics;2021-11-06
2. Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method;SIAM Journal on Numerical Analysis;2020-01
3. Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations;Computers & Mathematics with Applications;2018-06
4. Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions;SIAM Journal on Numerical Analysis;2018-01
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