Phase-Field Free Energy and Boundary Force for Molecular Solvation Abstract: We discuss a phase-filed variational model for the solvation of charged molecules with implicit solvent. The solvation free-energy functional of

Title: Immersed Finite Element Methods for Interface Problems Basic idea, Development, Analysis, and Applications Abstract: Simulating a multi-scale/multi-physics phenomenon often involves a domain consisting of different materials. This often leads to the

Title: Effective models of flow in highly heterogeneous fractured/vuggy porous media   Abstract:  The presence of vugs and fractures in porous media can significantly affect pressure and flow behavior of

Title: Semidefinite relaxation of the clustering problem and first-order methods for their solution Abstract: I will discuss a novel relaxation approach for the graph clustering problem. Although intractable in worst-case,

Title: New augmented Lagrangian method for a curvature dependent segmentation model Abstract: Augmented Lagrangian methods (ALMs) have proved to be successful for the minimization of curvature dependent functionals in image

Title: Time reversal acoustic communication in the ocean Abstract: The global marine ecosystem is undergoing significant changes due to human activities and natural processes. These changes call for enhanced capabilities

Title: A Priori and a posteriori error estimate for weak Galerkin finite element method on polygonal meshes Abstract:  Polygonal mesh has advantages including lower DOFs requirement for the same level