| Date |
2023-10-17 ~ 2023-10-17 |
Time |
17:00:00 ~ 18:00 |
| Speaker |
JaEun Ku |
Affiliation |
Oklahoma State University |
| Place |
Math Bldg 404 & Online streaming (Zoom) |
Streaming link |
ID : 688 896 1076 /
PW : 54321 |
| Topic |
Dual finite element methods for singularly perturbed reaction-diffusion problems. |
| Contents |
Recently, dual finite element methods are developed for accurate and efficient approximations of solutions of singularly pertubed reaction-diffusion problems. The methods only approximate the dual variables without approximating the primary variable. An approximation for the primary variable can be recovered through a simple local $L_2$ projection. The methods provide a competitive alternative to the other existing numerical methods. For examples, the approximation solution for the primary variable does not show numerical oscillation, which is observed in the standard Galerkin methods. The first part of this talk introduces the dual finite element methods, and the second part presents various a priori and a posteriori error estimates including guaranteed upper bounds for dual approximation. |