Modified characteristics projection finite element method for time-dependent conduction-convection problems

Zhiyong Si, Yunxia Wang
2015 Boundary Value Problems  
In this paper, we give a modified characteristics projection finite element method for the time-dependent conduction-convection problems, which is gotten by combining the modified characteristics finite element method and the projection method. The stability and the error analysis shows that our method is stable and has optimal convergence order. In order to show the effect of our method, some numerical results are presented. From the numerical results, we can see that the modified
more » ... cs projection finite element method can simulate the fluid field, temperature field, and pressure field very well. MSC: 76M10; 65N12; 65N30; 35K61
doi:10.1186/s13661-015-0420-7 fatcat:xsi66mgef5cgnpvy5ewlh37vpa