\(p=2\) continuous finite elements on tetrahedra with local mass matrix inversion to solve the preconditioned compressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: \(p=2\) continuous finite elements on tetrahedra with local mass matrix inversion to solve the preconditioned compressible Navier-Stokes equations
zbMATH Open document ID: 1391.76307
author: Michael J. Brazell
author: B. T. Helenbrook
published in: Computers and Fluids
publication date: 2018-06-19T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76Nxx
zbMATH DE Number: 6891020
zbMATH Keywords: tetrahedra
zbMATH Keywords: polynomial basis
zbMATH Keywords: \(hp\)-finite element method
zbMATH Keywords: mass lumping
zbMATH Keywords: mass matrix
zbMATH Keywords: compressible Navier-Stokes
zbMATH Keywords: preconditioning
describes a project that uses: RODAS
describes a project that uses: Gmsh
MaRDI profile type: Publication
full work available at URL: j.compfluid.2013.10.025
OpenAlex ID: W2086620026
cites work: Spectral element methods on triangles and quadrilaterals: Comparisons and applications
cites work: Spectral element methods on unstructured meshes: comparisons and recent advances
cites work: From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
cites work: Stable Spectral Methods on Tetrahedral Elements
cites work: A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
cites work: Tetrahedral \(hp\) finite elements: Algorithms and flow simulations
cites work: Spectral element methods for transitional flows in complex geometries
cites work: On the Existence of Explicit $hp$-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle
cites work: A two-fluid spectral-element method
cites work: \(P = 2\) continuous finite elements on tetrahedra with local mass matrix inversion
cites work: A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
cites work: A four-stage index 2 diagonally implicit Runge-Kutta method
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: A Multigrid Tutorial, Second Edition
cites work: Spectral element multigrid. I: Formulation and numerical results
cites work: Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
DOI: 10.1016/J.COMPFLUID.2013.10.025
Recommended article: \(P = 2\) continuous finite elements on tetrahedra with local mass matrix inversion
Recommended article: An <scp>L2</scp> finite element approximation for the incompressible Navier–Stokes equations
Recommended article: On a two-level finite element method for the incompressible Navier-Stokes equations
Recommended article: Two-grid finite element formulations of the incompressible Navier-Stokes equations
Recommended article: p‐version least squares finite element formulation for two‐dimensional, incompressible fluid flow
Recommended article: Efficient preconditioning techniques for finite-element quadratic discretization arising from linearized incompressible Navier-Stokes equations
Recommended article: A multiscale finite element method for the incompressible Navier-Stokes equations
Recommended article: Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations
Recommended article: On Two Iterative Least-Squares Finite Element Schemes for the Incompressible Navier–Stokes Problem
Recommended article: Q4247499
description: scientific article; zbMATH DE number 6891020