腾讯会议ID:933 422 127
会议链接:https://meeting.tencent.com/s/guV4te5lOsFi
Numerical simulation of industrial applications often involve complex typologies and multi-scale multi-physics phenomenon, which are known to be challenging. Some simplified weak Galerkin Methods (SWG) and primal dual weak Galerkin methods (PDWG) have been proposed and studied recently. These methods either have less degrees of freedom or dedicated to low regularity problems, are conservative, simple and user-friendly in computer implementation on polygonal meshes, thus ease engineering applications. Numerical theories such as the stability, discrete maximum principle (DMP) and optimal order of error estimates have been established and verified by numerical experiments. These numerical methods will be further extended and applied to solve more realistic multi-physics problems.