Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems
From MaRDI portal
Publication:2147462
DOI10.1007/s10915-022-01823-wzbMath1497.65217arXiv2006.00435OpenAlexW3031054572MaRDI QIDQ2147462
Aikaterini Aretaki, Georgios Katsouleas, Efthimios N. Karatzas
Publication date: 20 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00435
Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Fictitious domain methods for boundary value problems involving PDEs (65N85)
Uses Software
Cites Work
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- A stabilized Nitsche fictitious domain method for the Stokes problem
- Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
- An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport
- Space-time discontinuous Galerkin finite element method for two-fluid flows
- An equal-order DG method for the incompressible Navier-Stokes equations
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- A cut-cell finite volume - finite element coupling approach for fluid-structure interaction in compressible flow
- A stabilized Nitsche overlapping mesh method for the Stokes problem
- An extended pressure finite element space for two-phase incompressible flows with surface tension
- Numerical models for differential problems. Translated by Silvia Quarteroni.
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- A volume of fluid method based ghost fluid method for compressible multi-fluid flows
- An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method
- A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations
- Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II
- Stabilized CutFEM for the convection problem on surfaces
- An unfitted discontinuous Galerkin method for elliptic interface problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces
- The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
- Projection-based reduced order models for a cut finite element method in parametrized domains
- A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations
- CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes
- An immersed interface method for discrete surfaces
- 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
- An immersed discontinuous finite element method for the Stokes problem with a moving interface
- Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A finite element method by patch reconstruction for the Stokes problem using mixed formulations
- A cut finite element method for a Stokes interface problem
- Flow patterns around heart valves: A numerical method
- A cut discontinuous Galerkin method for coupled bulk-surface problems
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Analysis of an XFEM Discretization for Stokes Interface Problems
- $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
- A high-order hybridizable discontinuous Galerkin method for elliptic interface problems
- CutFEM: Discretizing geometry and partial differential equations
- IMMERSED BOUNDARY METHODS
- Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
- Continuous Interior Penalty Finite Element Method for Oseen's Equations
- Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations
- Nitsche's method for interface problems in computa-tional mechanics
- A Continuous Interior Penalty Method for Viscoelastic Flows
- An unfitted finite element method using discontinuous Galerkin
- An Interior Penalty Finite Element Method with Discontinuous Elements
- A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
- A finite element method on composite grids based on Nitsche's method
- Mixedhp-DGFEM for Incompressible Flows
- Local Discontinuous Galerkin Methods for the Stokes System
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- Inf-sup stability of geometrically unfitted Stokes finite elements
- A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem
- A cut discontinuous Galerkin method for the Laplace–Beltrami operator
- An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis
- HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
- Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
- BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM
- Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems
- A Parallel, Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Arbitrary Grids
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions
- Piecewise Solenoidal Vector Fields and the Stokes Problem
- An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems
This page was built for publication: Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems
