Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy
type: Item
instance of: scholarly article
title: Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy
zbMATH Open document ID: 1380.65151
author: David C. Del Rey Fernández
author: Pieter D. Boom
author: D. W. Zingg
published in: Journal of Computational Physics
publication date: 2018-01-25T00:00:00Z
full work available at URL: cornercorrected-diagonalnorm-summationbyparts-operators-for-the-first-derivative-with-increased-order-of-accuracy(b76c5d69-dde5-4a67-8359-0ebed51e8f26).html
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6829601
zbMATH Keywords: first derivative
zbMATH Keywords: summation-by-parts operator
zbMATH Keywords: energy method
zbMATH Keywords: quadrature
zbMATH Keywords: simultaneous approximation terms
zbMATH Keywords: finite-difference methods
zbMATH Keywords: discontinuous Galerkin methods
zbMATH Keywords: continuous Galerkin methods
zbMATH Keywords: partial differential equations
MaRDI profile type: Publication
OpenAlex ID: W2539883848
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: A generalized framework for nodal first derivative summation-by-parts operators
cites work: A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods
cites work: Spectral methods on arbitrary grids
cites work: Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
cites work: A stable and conservative interface treatment of arbitrary spatial accuracy
cites work: Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
cites work: High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
cites work: Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
cites work: Optimal diagonal-norm SBP operators
cites work: Generalized Summation-by-Parts Operators for the Second Derivative
cites work: An algorithmic exploration of the existence of high-order summation by parts operators with diagonal norm
cites work: Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
cites work: Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
cites work: Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
cites work: Summation by parts operators for finite difference approximations of second derivatives
cites work: Time dependent problems and difference methods
cites work: High Order Difference Methods for Time Dependent PDE
cites work: Summation-by-parts operators and high-order quadrature
cites work: On coordinate transformations for summation-by-parts operators
cites work: Hybrid Gauss-Trapezoidal Quadrature Rules
cites work: Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
cites work: Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
cites work: Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
cites work: High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
cites work: Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
cites work: Q5756148
cites work: Stable and accurate schemes for the compressible Navier-Stokes equations
cites work: A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
cites work: A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
DOI: 10.1016/J.JCP.2016.10.051
description: scientific article; zbMATH DE number 6829601