Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra
From MaRDI portal
Publication:5857618
DOI10.1137/20M1333018zbMath1466.65174OpenAlexW3125933139MaRDI QIDQ5857618
Publication date: 1 April 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1333018
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
Related Items (4)
Partially discontinuous nodal finite elements for \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) ⋮ A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes ⋮ A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems ⋮ High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
- Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
- On a class of Chebyshev approximation problems which arise in connection with a conjugate gradient type method
- Multivariate Bernstein and Markov inequalities
- Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method
- On the constants in \(hp\)-finite element trace inverse inequalities.
- A second-order scheme for the ``Brusselator reaction-diffusion system
- On the \(p\)-norm condition number of the multivariate triangular Bernstein basis
- \(hp\)-finite element methods for singular perturbations
- Implicit-explicit methods for reaction-diffusion problems in pattern formation
- An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing
- Two-level domain decomposition preconditioning for thep-version finite element method in three dimensions
- Bounds for eigenvalues and condition numbers in the 𝑝-version of the finite element method
- An Additive Schwarz Method for the h-p Version of the Finite Element Method in Three Dimensions
- Conditioning of Hierarchic p-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra
- Hierarchic finite element bases on unstructured tetrahedral meshes
- Domain decomposition preconditioners of Neumann-Neumann type for hp-approximations on boundary layer meshes in three dimensions
- Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles
- The $p$ and $hp$ versions of the finite element method for problems with boundary layers
- A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
- Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements
- Some Remarks on the Elman Estimate for GMRES
- A numerical study on Neumann-Neumann methods forhpapproximations on geometrically refined boundary layer meshes II. Three-dimensional problems
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra