Summation-by-parts operators for general function spaces: the second derivative (Q6497241)

scientific article; zbMATH DE number 7842870

Language	Label	Description	Also known as
English	Summation-by-parts operators for general function spaces: the second derivative	scientific article; zbMATH DE number 7842870

Statements

instance of

scholarly article

0 references

title

Summation-by-parts operators for general function spaces: the second derivative (English)

0 references

author

Jan Glaubitz

0 references

Simon-Christian Klein

0 references

Jan Nordström

0 references

Philipp Öffner

0 references

published in

Journal of Computational Physics

0 references

publication date

6 May 2024

0 references

zbMATH Keywords

summation-by-parts operators

0 references

second derivatives

0 references

advection-diffusion problems

0 references

mimetic discretizations

0 references

general function spaces

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems

0 references

Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability

0 references

A discontinuous \(hp\) finite element method for convection-diffusion problems

0 references

A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures

0 references

Revisiting and extending interface penalties for multi-domain summation-by-parts operators

0 references

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

0 references

A generalized framework for nodal first derivative summation-by-parts operators

0 references

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

0 references

Generalized Summation-by-Parts Operators for the Second Derivative

0 references

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions

0 references

Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes

0 references

A Primer on Radial Basis Functions with Applications to the Geosciences

0 references

Solving PDEs with radial basis functions

0 references

A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods

0 references

A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

0 references

Shock capturing and high-order methods for hyperbolic conservation laws

0 references

Stable high-order cubature formulas for experimental data

0 references

Construction and application of provable positive and exact cubature formulas

0 references

Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions

0 references

Multi-dimensional summation-by-parts operators for general function spaces: theory and construction

0 references

Towards stable radial basis function methods for linear advection problems

0 references

Summation-by-Parts Operators for General Function Spaces

0 references

Energy-stable global radial basis function methods on summation-by-parts form

0 references

A stable and efficient hybrid scheme for viscous problems in complex geometries

0 references

Interface procedures for finite difference approximations of the advection-diffusion equation

0 references

Solving Laplace Problems with Corner Singularities via Rational Functions

0 references

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

0 references

Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements

0 references

Stable high-order quadrature rules with equidistant points

0 references

On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions

0 references

On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions

0 references

Exponentially fitted spline in compression for the numerical solution of singular perturbation problems

0 references

Q4127319

0 references

On an eigenvalue property of summation-by-parts operators

0 references

Properties of Runge-Kutta-summation-by-parts methods

0 references

Stable and accurate filtering procedures

0 references

Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions

0 references

Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients

0 references

Stable and accurate wave-propagation in discontinuous media

0 references

Stable boundary treatment for the wave equation on second-order form

0 references

Summation by parts operators for finite difference approximations of second derivatives

0 references

High order finite difference methods for wave propagation in discontinuous media

0 references

Stable and accurate artificial dissipation

0 references

Stable and accurate schemes for the compressible Navier-Stokes equations

0 references

The AAA Algorithm for Rational Approximation

0 references

Finite volume approximations and strict stability for hyperbolic problems

0 references

Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

0 references

A stable hybrid method for hyperbolic problems

0 references

High order finite difference approximations of electromagnetic wave propagation close to material discontinuities

0 references

A hybrid method for unsteady inviscid fluid flow

0 references

Summation-by-parts in time

0 references

Summation-By-Parts in Time: The Second Derivative

0 references

Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach

0 references

Some notes on summation by parts time integration methods

0 references

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

0 references

Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators

0 references

A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions

0 references

Summation-by-parts operators for correction procedure via reconstruction

0 references

Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators

0 references

Total-Variation-Diminishing Time Discretizations

0 references

Summation by parts for finite difference approximations for \(d/dx\)

0 references

A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions

0 references

Review of summation-by-parts schemes for initial-boundary-value problems

0 references

On the convergence rates of energy-stable finite-difference schemes

0 references

Q5320671

0 references

An energy-based summation-by-parts finite difference method for the wave equation in second order form

0 references

High order finite difference methods for the wave equation with non-conforming grid interfaces

0 references

A systematic methodology for constructing high-order energy stable WENO schemes

0 references

A short note on the error estimates of Yuan-Shu discontinuous Galerkin method based on non-polynomial approximation spaces

0 references

Discontinuous Galerkin method based on non-polynomial approximation spaces

0 references

Identifiers

DOI

10.1016/j.jcp.2024.112889

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6497241