hp analysis of a hybrid DG method for Stokes flow
From MaRDI portal
Publication:4920242
DOI10.1093/imanum/drs018zbMath1328.76040OpenAlexW2329077087MaRDI QIDQ4920242
Christian Waluga, Herbert Egger
Publication date: 16 May 2013
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drs018
finite elementsStokes problemdiscontinuous Galerkin methodsa posteriori error estimationhybridization\(hp\) analysis
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)
Related Items
Analysis of a reduced-order HDG method for the Stokes equations, Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations, On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra, On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes, Hybrid Discontinuous Galerkin Methods with Relaxed H(div)-Conformity for Incompressible Flows. Part I, An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations, Analysis of hybrid discontinuous Galerkin methods for linearized Navier–Stokes equations, Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation, A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields, An \textit{hp}-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem, A unified \textit{hp}-HDG framework for Friedrichs' PDE systems, An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number, Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems, A penalized weak Galerkin spectral element method for second order elliptic equations, A hybrid high-order method for the steady incompressible Navier-Stokes problem, A stabilized hybrid mixed DGFEM naturally coupling Stokes-Darcy flows, A hierarchical scale separation approach for the hybridized discontinuous Galerkin method, An adaptive SDG method for the Stokes system, FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation, Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem, A discontinuous skeletal method for the viscosity-dependent Stokes problem, A new continuous/discontinuous formulation for Stokes problem with analysis of InfSup stability, Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II, Hybridized CutFEM for Elliptic Interface Problems, A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates, Analysis of a pressure-robust hybridized discontinuous Galerkin method for the stationary Navier-Stokes equations
