AbstractSolving multiscale PDEs is difficult in high dimensional and/or convection dominant cases. The Lagrangian computation, interacting particle method, is shown to outperform solving PDEs directly (Eulerian). Examples include computing effective diffusivities, KPP front speed, and asymptotic transport properties in topological insulators. However the particle simulation takes long before co...
Abstract: The design and research of safety in vehicle collision involves the characterization of mechanical properties of several materials with large deformation. The aim is to provide the method and the precise data of mechanical properties of materials in the simulation of car structure and the collision of passengers, such that the design depends more on virtual methods. While in real en...