Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces

DOI10.1137/21M1403916zbMath1480.65340arXiv2103.05283OpenAlexW3135853372MaRDI QIDQ5021398

Tzanio V. Kolev, Will Pazner

Publication date: 13 January 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05283

zbMATH Keywords

high-order finite elementssolution transferlow-order refined

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Low-Order Preconditioning for the High-Order Finite Element de Rham Complex ⋮ A non-perturbative approach to computing seismic normal modes in rotating planets

Uses Software

• MFEM

Cites Work

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• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Short note on the mass matrix for Gauss-Lobatto grid points
• Some new results on Lagrange interpolation for bounded variation functions
• Spectral methods for problems in complex geometries
• Polynomial interpolation results in Sobolev spaces
• Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
• Stabilization of spectral methods by finite element bubble functions
• An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
• A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space
• High-order matrix-free incompressible flow solvers with GPU acceleration and low-order refined preconditioners
• Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16--20, 2018
• MFEM: a modular finite element methods library
• \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
• Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
• Metric identities and the discontinuous spectral element method on curvilinear meshes
• Finite-Element Preconditioning of G-NI Spectral Methods
• High-Order Multi-Material ALE Hydrodynamics
• Comparison of multigrid algorithms for high‐order continuous finite element discretizations
• Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
• Efficient Low-Order Refined Preconditioners for High-Order Matrix-Free Continuous and Discontinuous Galerkin Methods
• Nonconforming Mesh Refinement for High-Order Finite Elements
• Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Spectral Methods
• Fully discrete \(hp\)-finite elements: Fast quadrature
• On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions

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