Special Session 2: New frontiers in the compressible mathematical fluid mechanics and thermodynamics

A finite element method for the incompressible Euler system
Bangwei She
Capital Normal University
Peoples Rep of China
Co-Author(s):    M\`{a}ria Luk\`{a}\v{c}ov\`{a}-Medvid`ov\`{a}
Abstract:
We study the stability and convergence of a $RT_k/P_k$ finite element method for the incompressible Euler system. Moreover, we extend the error analysis result of Guzm\`{a}n et al. [H(div) conforming and DG methods for incompressible Euler equations, IMA J. Numer. Anal. 37(4)1733-1771, 2017] to the case of k=0.