Optimization of multidimensional diagonal-norm summation-by-parts operators on simplices
type: Item
instance of: scholarly article
title: Optimization of multidimensional diagonal-norm summation-by-parts operators on simplices
zbMATH Open document ID: 1436.65107
author: André L. Marchildon
author: D. W. Zingg
published in: Journal of Computational Physics
publication date: 2020-07-07T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 7218419
zbMATH Keywords: finite difference methods
zbMATH Keywords: summation-by-parts
zbMATH Keywords: unstructured grid
describes a project that uses: polyquad
MaRDI profile type: Publication
full work available at URL: j.jcp.2020.109380
OpenAlex ID: W3012513449
cites work: Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
cites work: Review of summation-by-parts schemes for initial-boundary-value problems
cites work: On coordinate transformations for summation-by-parts operators
cites work: Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates
cites work: A generalized framework for nodal first derivative summation-by-parts operators
cites work: Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
cites work: Simultaneous approximation terms for multi-dimensional summation-by-parts operators
cites work: Summation-by-parts operators and high-order quadrature
cites work: Advances in multidimensional integration
cites work: A Cardinal Function Algorithm for Computing Multivariate Quadrature Points
cites work: Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
cites work: On the identification of symmetric quadrature rules for finite element methods
cites work: Finite Difference Approximation for Pricing the American Lookback Option
cites work: Exact integrations of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids
cites work: Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
cites work: An analysis of solution point coordinates for flux reconstruction schemes on triangular elements
cites work: Optimal diagonal-norm SBP operators
cites work: An analysis of solution point coordinates for flux reconstruction schemes on tetrahedral elements
cites work: Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
cites work: Bounds for the Spectral Radius of a Matrix
cites work: Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
cites work: Conservative and stable degree preserving SBP operators for non-conforming meshes
cites work: Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates
DOI: 10.1016/J.JCP.2020.109380
description: scientific article; zbMATH DE number 7218419