Euler characteristic Galerkin scheme with recovery

Euler characteristic Galerkin scheme with recovery

— This paper describes a gênerai formulation of the Euler Characteristic Galerkin (ECG) scheme for scalar conservation laws, based on the theory of the Riemann-Stieltjes intégral. The ECG scheme is proved to be equivalent to the projection of Brenier' s transportcollapse operator. For the purpose of getting higher order accuracy, we explore two recovery procedures, namely continuous linear reco...

Entropy-bounded discontinuous Galerkin scheme for Euler equations

Article history: Received 17 November 2014 Received in revised form 17 March 2015 Accepted 17 April 2015 Available online 28 April 2015

Computationally Effective Discontinuous Galerkin Scheme for Linearized Euler Equations

*Central Aerohydrodynamic Institute (TsAGI) Zhukovsky street, 1, 140185 Zhukovsky, Moscow Region, Russian Federation, Email: [email protected] **Central Aerohydrodynamic Institute (TsAGI) Zhukovsky street, 1, 140185 Zhukovsky, Moscow Region, Russian Federation, Email: [email protected] ***NUMECA International, Avenue Franklin Roosevelt, 5, 1050 Brussels, Belgium, Email: charles.hirsch@num...

Exponentiation and Euler Characteristic

The Euler Characteristic

I will describe a few basic properties of the Euler characteristic and then I use them to prove special case of a cute formula due to Bernstein-Khovanskii-Koushnirenko. 1. Basic properties of the Euler characteristic The Euler characteristic is a function χ which associates to each reasonable topological space X an integer χ(X). For us a reasonable space would be a space which admits a finite s...