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: Commutators and weighted norm inequalities Abstract: We will review the theory of commutators and BMO functions. As an application of the theory of weighted norm inequalities we will show that the commutator of an operator that satisfies certain weighted norm inequalities is bounded on L^p. We also show show a converse to this result.Â
Topic:Â Polynomial Preserving Recovery for Gradient and Hessian Abstract: Â Post-processing techniques are important in scientific and engineering computation. One of such technique, Superconvergent Patch Recovery (SPR) proposed by Zienkiewicz-Zhu in 1992, has been widely used in finite element commercial software packages such as Abaqus, ANSYS, Diffpack, etc.; another one, Polynomial Preserving Recovery (PPR) has been
Mathematical and Computational Modeling of Microorganism Swimming Motions Microscopic swimmers like bacteria and spermatozoa live in highly viscous environments. Their locomotion and the fluid flows they generate around them have been actively investigated for the last 60 years motivated by questions about effective locomotion strategies, the organism's interaction with the surrounding environment, patterns of collective
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: The boundedness of multilinear Calderon-Zygmund operators on weighted and variable spaces. Abstract: In this talk, we will establish the boundedness of the above operators from a product of weighted Hardy spaces into a weighted Hardy space or weighted Lebesgue space. Our work extends a result of Stromberg and Torchinsky for linear operators to multilinear
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
Despite a large focus on promoting diversity in the STEM fields, nationally only around 25% of PhD's in the mathematical sciences are awarded to women. This talk will introduce and review some of the educational research that examines issues of recruitment and retention of women in mathematics. Discussion and reflection on these issues with the
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.