Conforming and divergence-free Stokes elements in three dimensions
From MaRDI portal
Publication:2930143
DOI10.1093/imanum/drt053zbMath1305.76056OpenAlexW2118395915MaRDI QIDQ2930143
Publication date: 18 November 2014
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drt053
Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Generalized finite element systems for smooth differential forms and Stokes' problem, The divergence-conforming immersed boundary method: application to vesicle and capsule dynamics, New stabilized \(P_1 \times P_0\) finite element methods for nearly inviscid and incompressible flows, An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow, Nodal finite element de Rham complexes, An enriched Galerkin method for the Stokes equations, The Scott-Vogelius finite elements revisited, Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations, Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity, A P4 bubble enriched P3 divergence-free finite element on triangular grids, Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows, ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations, Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements, An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes, A lowest-degree conservative finite element scheme for incompressible Stokes problems on general triangulations, A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow, A divergence free weak virtual element method for the Stokes problem on polytopal meshes, A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem, Pressure-robust enriched Galerkin methods for the Stokes equations, A macro-bubble enriched \(P_1\)-\(P_0\) finite element for the Stokes equations on triangular and tetrahedral meshes, A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations, On conservation laws of Navier-Stokes Galerkin discretizations, A modified rotated-\(Q_1\) finite element for the Stokes equations on quadrilateral and hexahedral meshes, Continuous mixed finite elements for the second order elliptic equation with a low order term, BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations, Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions, Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells, Neilan's divergence‐free finite elements for Stokes equations on tetrahedral grids, Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems, On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations, Analysis of divergence free conforming virtual elements for the Brinkman problem, Error analysis of nonconforming virtual element method for Stokes problem with low regularity, Finite element systems for vector bundles: elasticity and curvature, Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions, A Pressure-Robust Embedded Discontinuous Galerkin Method for the Stokes Problem by Reconstruction Operators, New Mixed Elements for Maxwell Equations, Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations, Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem, Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics, A pressure-robust virtual element method for the Stokes problem, Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem, Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations, A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation, Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations, A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem, Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation, Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors, Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems, Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading, Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method, Accurate discretization of poroelasticity without Darcy stability, Cubic Lagrange elements satisfying exact incompressibility, Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation, Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits, The Divergence-Free Nonconforming Virtual Element for the Stokes Problem, Analysis of algebraic Chorin temam splitting for incompressible NSE and comparison to Yosida methods, A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh, Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator, Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints, Towards a Unified Finite Element Method for the Stokes Equations, A low-degree strictly conservative finite element method for incompressible flows on general triangulations, A pressure robust staggered discontinuous Galerkin method for the Stokes equations
