• Shaoqiang Tang, Peking University
• Shan Tang, Dalian University of Technology
• Zifeng Yuan, Peking University

Comprehensive material behavior and response at macro-scale stem from nonlinear evolution of heterogeneous material system at meso- and/or micro-scale, and thus introduce challenges in upscaling/downscaling theory and significant increasing of computational cost. In analogy, large scale engineering structures are also composed of components at different length scales. Advanced multiscale theories as well as corresponding numerical algorithms will be helpful to understand the mechanism of bridging different scales of these material and structure systems. Accordingly, the computational framework can not only repeat, but also predict various nonlinear behaviors of material and large engineering structure with high fidelity, high accuracy, and high efficiency. This mini-symposium aims at providing a platform for tresearchers in this field to share their research work and novel ideas. The mini-symposium includes but is not limited to the following topics:
· Mathematical homogenization theory;
· Computational direct homogenization method;
· Computational homogenization with model-reduction;
· Computational homogenization with machine learning or deep learning;
· Computational method for the interface;
· Multiscale method with multiphysics coupling;
· Constitutive models for the micro-scopic constituents;
· Other topics in computational multiscale method.