nonlinear sobolev equations
Recently Published Documents


TOTAL DOCUMENTS

18
(FIVE YEARS 0)

H-INDEX

8
(FIVE YEARS 0)

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Tongjun Sun

A Godunov-mixed finite element method on changing meshes is presented to simulate the nonlinear Sobolev equations. The convection term of the nonlinear Sobolev equations is approximated by a Godunov-type procedure and the diffusion term by an expanded mixed finite element method. The method can simultaneously approximate the scalar unknown and the vector flux effectively, reducing the continuity of the finite element space. Almost optimal error estimates inL2-norm under very general changes in the mesh can be obtained. Finally, a numerical experiment is given to illustrate the efficiency of the method.


Sign in / Sign up

Export Citation Format

Share Document