Convergence of Chandrashekar's second-derivative finite-volume approximation

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Review of summation-by-parts schemes for initial-boundary-value problems
Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
Robust convergence of multi point flux approximation on rough grids
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods
Functional analysis, Sobolev spaces and partial differential equations
Compact sets in the space $L^ p(0,T;B)$
An introduction to partial differential equations
Summation by parts for finite difference approximations for $d/dx$
An entropy stable $h/p$ non-conforming discontinuous Galerkin method with the summation-by-parts property
Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids
Summation by parts operators for finite difference approximations of second derivatives
Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition
Entropy stable $h/p$-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations
Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids
The finite volume method in computational fluid dynamics. An advanced introduction with OpenFOAM and Matlab
Finite volume discretization of heat equation and compressible Navier-Stokes equations with weak Dirichlet boundary condition on triangular grids
Time-Dependent Problems and Difference Methods
Convergence of a finite volume scheme for the convection-diffusion equation with $\mathrm{L}^{1}$ data
Julia: A Fresh Approach to Numerical Computing
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
Entropy Stability and the No-Slip Wall Boundary Condition
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Efficient Entropy Stable Gauss Collocation Methods
Theoretical Numerical Analysis
High Order Difference Methods for Time Dependent PDE
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise

This page was built for publication: Convergence of Chandrashekar's second-derivative finite-volume approximation