adaptive methods

A Posteriori Error Estimation and Adaptivity for Elliptic Interface Problems

Prof. Zhiming Chen, Academy of mathematics and Systems Science, Chinese Academy of Sciences

Jan 24, 14:30 - 16:00

B4 L5 R5220

adaptive methods linear elliptic equations

In this short course, we will introduce some elements in deriving the hp a posteriori error estimate for a high-order unfitted finite element method for elliptic interface problems. The key ingredient is an hp domain inverse estimate, which allows us to prove a sharp lower bound of the hp a posteriori error estimator.

Arbitrarily High-order Finite Element Methods for Arbitrarily Shaped Domains with Automatic Mesh Generation

Prof. Zhiming Chen, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Jan 23, 16:00 - 17:00

B2 L5 R5220

High-order FEM adaptive methods

Coffee time: 15:30–16:00. We consider high-order unfitted finite element methods on Cartesian meshes with hanging nodes for elliptic interface problems, which release the work of body-fitted mesh generation and allow us to design adaptive finite element methods for solving curved geometric singularities.