Numerical Homogenization and Multiscale Model Reduction Methods - Part III of V
For Part I, see MS-Th-BC-29
For Part II, see MS-Th-D-29
For Part IV, see MS-Fr-D-29
For Part V, see MS-Fr-E-29

Date: August 13
Time: 16:00--18:00
Room: 305

(Note: Click title to show the abstract.)

Zhang, Lei (Shanghai Jiao Tong Univ.)
Peterseim, Daniel (Universität Bonn)
Jiang, Lijian (Hunan Univ.)
Chung, Eric (The Chinese Univ. of Hong Kong)

Abstract: Problems that transcend a variety of strongly coupled time and length scales are ubiquitous in modern science and engineering such as physics, biology, and materials. Those multiscale problems pose major mathematical challenges in terms of analysis, modeling and simulation. At the same time, advances in the development of multiscale mathematical methods coupled with continually increasing computing power have provided scientists with the unprecedented opportunity to study complex behavior and model systems over a wide range of scales.

This minisymposium is aimed at presenting the state-of-the-art in multiscale modeling, simulation and analysis for the applications in science and engineering. It will focus on the developments and challenges in numerical multiscale methods and multiscale model reduction methods. The lectures will cover the following subjects:
- Numerical homogenization methods, e.g. Generalized FEM, MsFEM, FEM-HMM, DG methods, Partition of Unity methods, multiscale domain decomposition etc.
- Multiscale model reduction methods for stochastic systems, such as stochastic PDEs and random materials.
- Multiscale methods for problems arising in composite materials and heterogeneous porous media.
- Multiscale methods for eigenvalue problems, high frequency waves, and multiscale hyperbolic PDEs.
- Multiscale modeling in various applications such as reservoir performance prediction, bio-motility, chemical vapor infiltration, etc.

Discontinuous Galerkin methods for elliptic multiscale problems
Georgoulis, Emmanuil (Univ. of Leicester, UK / National Technical Univ. of Athens, Greece)

High dimensional finite elements for multiscale wave equations
Hoang, Viet Ha (Nanyang Technological Univ.)

Intrinsic Sparse Mode Decomposition of High Dimensional Random Fields with Application to Stochastic Elliptic PDEs
Li, Qin (Caltech)

Generalized multiscale finite element methods for interface problems
Chu, Chia-Chieh (National Tsing Hua Univ.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA