High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
DOI10.1016/j.cma.2016.04.025zbMath1439.76081arXiv1508.04245OpenAlexW2206365535MaRDI QIDQ2308572
Christoph Lehrenfeld, Joachim Schöberl
Publication date: 3 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04245
Navier-Stokes equationsoperator-splittingexactly divergence-freereduced stabilizationH(div)-conforming finite elementsHybrid Discontinuous Galerkin methods
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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- Analysis of a reduced-order HDG method for the Stokes equations
- Analysis of HDG methods for Oseen equations
- To CG or to HDG: A comparative study
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- Mathematical aspects of discontinuous Galerkin methods.
- A hybridizable discontinuous Galerkin method for Stokes flow
- Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- A fractional step \(\theta\) -method for convection-diffusion problems
- A hybridized discontinuous Galerkin method with reduced stabilization
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- Spectral methods on triangles and other domains
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
- Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Finite Elements and Fast Iterative Solvers
- Efficiency of high-order elements for continuous and discontinuous Galerkin methods
- Analysis of HDG methods for Stokes flow
- On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder
- Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixedhp-DGFEM for Incompressible Flows
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- An HDG method for linear elasticity with strong symmetric stresses
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes
- Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions
- Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions
- The numerical solution of the Navier-Stokes equations for an incompressible fluid
- On the Construction and Comparison of Difference Schemes
- A minimal stabilisation procedure for mixed finite element methods
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