Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
From MaRDI portal
Publication:5419529
DOI10.1051/m2an/2013123zbMath1416.65437OpenAlexW1999506541MaRDI QIDQ5419529
Publication date: 10 June 2014
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2013123
Error bounds for boundary value problems involving PDEs (65N15) 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) Fictitious domain methods for boundary value problems involving PDEs (65N85)
Related Items (79)
A weighted shifted boundary method for free surface flow problems ⋮ A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems ⋮ The high-order shifted boundary method and its analysis ⋮ Topology-preserving scan-based immersed isogeometric analysis ⋮ Unfitted finite element method for fully coupled poroelasticity with stabilization ⋮ A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems ⋮ Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems ⋮ Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem ⋮ A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations ⋮ An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes ⋮ A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity ⋮ CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes ⋮ A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow ⋮ The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition ⋮ Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations ⋮ Extrapolated discontinuity tracking for complex 2D shock interactions ⋮ Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow ⋮ An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments ⋮ A dissimilar non-matching HDG discretization for Stokes flows ⋮ Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures ⋮ Variational multiscale immersed boundary method for incompressible turbulent flows ⋮ A finite element method for high-contrast interface problems with error estimates independent of contrast ⋮ A cutFEM divergence–free discretization for the stokes problem ⋮ ϕ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations ⋮ CutFEM based on extended finite element spaces ⋮ CutFEM: Discretizing geometry and partial differential equations ⋮ A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow ⋮ Convergence analysis of an unfitted mesh semi-implicit coupling scheme for incompressible fluid-structure interaction ⋮ A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials ⋮ An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields ⋮ A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium ⋮ Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines ⋮ An enriched shifted boundary method to account for moving fronts ⋮ Fictitious domain method: a stabilized post-processing technique for boundary-flux calculation using cut elements ⋮ XIGA: an eXtended IsoGeometric analysis approach for multi-material problems ⋮ An extended virtual element method for elliptic interface problems ⋮ Solving Navier-Stokes equations with stationary and moving interfaces on unfitted meshes ⋮ Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes ⋮ A CutFEM method for phase change problems with natural convection ⋮ Gradient recovery for elliptic interface problem. III: Nitsche's method ⋮ Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems ⋮ High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs ⋮ Extension of NXFEM to nonconforming finite elements ⋮ A stabilized Nitsche fictitious domain method for the Stokes problem ⋮ Inf-sup stability of geometrically unfitted Stokes finite elements ⋮ The Unfitted HHO Method for the Stokes Problem on Curved Domains ⋮ A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements ⋮ A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid-solid contact ⋮ Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems ⋮ A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems ⋮ A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems ⋮ Isogeometric analysis on V-reps: first results ⋮ The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems ⋮ The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations ⋮ Projection-based reduced order models for a cut finite element method in parametrized domains ⋮ Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method ⋮ Topology optimization of multiple deformable bodies in contact with large deformations ⋮ Simultaneous material, shape and topology optimization ⋮ Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow ⋮ The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows ⋮ A cut finite element method for a Stokes interface problem ⋮ $\phi$-FEM: A Finite Element Method on Domains Defined by Level-Sets ⋮ Numerical solvers for a poromechanic problem with a moving boundary ⋮ An adaptive fixed-mesh ALE method for free surface flows ⋮ A stabilised immersed boundary method on hierarchical b-spline grids for fluid-rigid body interaction with solid-solid contact ⋮ CutFEM topology optimization of 3D laminar incompressible flow problems ⋮ A stabilized Nitsche cut finite element method for the Oseen problem ⋮ A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions ⋮ Error analysis of Nitsche's mortar method ⋮ Error estimates of fictitious domain method with an \(H^1\) penalty approach for elliptic problems ⋮ An Eulerian finite element method for PDEs in time-dependent domains ⋮ Corrected finite element methods on unfitted meshes for Stokes moving interface problem ⋮ Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods ⋮ A nonconforming Nitsche's extended finite element method for Stokes interface problems ⋮ Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D ⋮ An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces ⋮ A Stabilized Cut Finite Element Method for the Three Field Stokes Problem ⋮ Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces ⋮ Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
This page was built for publication: Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
