Found 47 Documents (Results 1–47)
A DG method for the Stokes equations on tensor product meshes with \([P_k]^d - P_{k-1}\) element. (English) Zbl 07902398
Pressure-robust finite element scheme for the time-dependent fully coupled Stokes-Darcy-transport problem. (English) Zbl 07890920
\(hp\)-multigrid preconditioner for a divergence-conforming HDG scheme for the incompressible flow problems. (English) Zbl 1543.65188
A divergence-free Petrov-Galerkin immersed finite element method for Stokes interface problem. (English) Zbl 1542.65176
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. (English) Zbl 1541.65166
A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress. (English) Zbl 07801610
A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem. (English) Zbl 1522.65220
A pressure-robust weak Galerkin finite element method for Navier-Stokes equations. (English) Zbl 07777009
Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling. (English) Zbl 07698951
A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations. (English) Zbl 1517.35156
An EMA-conserving, pressure-robust and re-semi-robust method with a robust reconstruction method for Navier-Stokes. (English) Zbl 1529.65076
A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport. (English) Zbl 1529.65094
A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh. (English) Zbl 1524.65610
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. (English) Zbl 1527.76033
Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number. (English) Zbl 1521.76370
A pressure robust staggered discontinuous Galerkin method for the Stokes equations. (English) Zbl 1504.65262
A low-order divergence-free \(H(\mathrm{div})\)-conforming finite element method for Stokes flows. (English) Zbl 1502.65210
Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations. (English) Zbl 1502.65223
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. (English) Zbl 1507.76093
Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier-Stokes equations with high-order finite elements. (English) Zbl 1524.76144
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. (English) Zbl 1523.65093
Reviewer: Vit Dolejsi (Praha)
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. (English) Zbl 1502.65185
Reviewer: Xiaodi Zhang (Zhengzhou)
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators. (English) Zbl 1475.65195
A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. (English) Zbl 1477.65185
Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. (English) Zbl 1490.65284
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. (English) Zbl 1486.65259
Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading. (English) Zbl 1477.65187
A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier-Stokes equation. (English) Zbl 1535.76063
Quasi-optimal and pressure-robust discretizations of the Stokes equations by new augmented Lagrangian formulations. (English) Zbl 1466.65193
A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators. (English) Zbl 1451.65199
Reviewer: Marius Ghergu (Dublin)
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. (English) Zbl 1446.65146
On the significance of pressure-robustness for the space discretization of incompressible high Reynolds number flows. (English) Zbl 1454.65169
Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 103-112 (2020).
Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. (English) Zbl 1452.76092
A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. (English) Zbl 1440.76088
Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations. (English) Zbl 1421.35253
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. (English) Zbl 1398.76036
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem. (English) Zbl 1392.35116
On really locking-free mixed finite element methods for the transient incompressible Stokes equations. (English) Zbl 1422.65218
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. (English) Zbl 1391.76295
Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 351-359 (2017).
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