The activities were co-organized by the PSU-PKU joint Center for Computational Mathematics and Applications (CCMA) and Beijing International Center for Mathematical Research (BICMR). The aims of these activities is to strengthen the cooperations and exchanges between the scholars in the field of numerical methods for PDE, and to provide opportunities for graduate students presenting their works and discussing with distinguished scholars. The activities held on August 15-21, 2015 consist of Overseas Distinguished Lectures, Workshop on Finite Element Methods, Graduate Seminar on computational mathematics and Summer School on computational method.
- Overseas Distinguished Lectures ( August 15-19, 2015)
Overseas Distinguished Lectures were delivered by Douglas N. Arnold. He is the McKnight Presidential Professor of Mathematics at the University of Minnesota. His research interests include numerical analysis, partial differential equations, mechanics, and in particular, the interplay between these fields. Around 2002 he initiated the finite element exterior calculus (FEEC), a new approach to the stability of finite element methods based on geometric and topological structure underlying the relevant partial differential equations. In the series of lectures Prof. Arnold talked about both the abstract framework of FEEC and its specific applications to the de Rham complex and to other complexes arising in different applications.
- Workshop on Finite Element Methods (August 15-16, 2015)
The finite element method (FEM) is a standard numerical method in scientific and engineering computing. The workshop brought together finite element researchers and practitioners to exchange ideas regarding recent developments of FEM theories and methods (such as adaptive and multilevel algorithms, finite element exterior calculus) for problems ranging from basic model problems to multi-physical systems in industrial applications. The experts in this area, including Prof. Richard S. Falk, Prof. Douglas Arnold, Prof. Ragnar Winther, Prof. Carsten Carstensen Prof. Hu Jun etc., gave talks on the research progress.
- Gradate Seminar on Computational mathematics (August 18-19, 2015)
Graduate students from different schools attended the seminar. They gave interesting talks about their last search accomplishments, learnt from and discussed with each others. This seminar inspired the young researchers’ innovation and creativity and improved their presentation ability.
- Summer School on computational methods for PDEs (August 15-21, 2015)
In this summer school, Prof. Douglas N. Arnold, as the main lecturer, told about theory of finite element exterior calculus and its application. Beside that, Prof. Long Chen gave lectures about the virtual element method, and Prof. Jun Hu introduced the mixed finite element method. Students in the summer school said that it was a very good opportunity to learn the latest research work in the field of numerical method, to broaden their horizons and to improve the innovation ability.