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 processing. However, those ALM based algorithms often suffer from choosing appropriate penalty parameters in the numerical implementation. In this talk, we will discuss our recent
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 to sample and communicate in the oceans. With this background, underwater acoustic communication has attracted much attention across multiple disciplines, as this key subsea technology
Title: Complete minors of self-complementary graphs. Abstract: A self-complementary graph on n vertices is a graph which is isomorphic to its graph complement within K_n, Â the complete graph on n vertices. Â These graphs have a high degree of structure, and yet they are far from trivial. This talk focuses on minors of self-complementary graphs. Minors
Title: A Priori and a posteriori error estimate for weak Galerkin finite element method on polygonal meshes Abstract: Â Polygonal mesh has advantages including lower DOFs requirement for the same level of accuracy and more flexibility in generating mesh, and better mesh quality over standard discretization with quad mesh or triangular mesh. Also the hanging nodes
Title: Weighted restricted weak type inequalities Abstract: We review classical results concerning the bounds of the Hardy-Littlewood maximal operator on weighted Lorentz spaces and discuss the analogous bounds for the pointwise product of such operators. A new Hölder-type inequality for Lorentz spaces is used.