Applied Math Seminar
Seminar – Hristo Sendov, University of Western Ontario
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesEvery Calculus student is familiar with the classical Rolle’s theorem stating that if a real polynomial p satisfies p(−1) = p(1), then it has a critical point in (−1, 1). In 1934, L. Tschakaloff strengthened this result by finding a minimal interval, contained in (−1, 1), that holds a critical point of every real polynomial
Applied Math Seminar – Yuyang Ouyang, Clemson University
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesApplied Math Seminar – Shibin Dai
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesPhase-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 all phase fields consists of the surface energy, solute excluded volume and solute-solvent van der Waals dispersion energy, and electrostatic free energy. The last part
Applied Math Seminar
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesApplied Math Seminar – Xu Zhang, Mississippi State University
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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 so-called interface problems of partial differential equations. Classical finite elements methods can solve interface problems satisfactorily if the mesh is aligned with interfaces; otherwise the
Applied Math Seminar – Mojdeh Rasoulzadeh, University of Alabama
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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 a fluid. In this talk, I will present the effective models of flow in a porous medium including multi-scale fractures and several vuggs of various
Applied Math Seminar – Brendan Ames, University of Alabama
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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, much recent research has established that clusters can be recovered if the underlying network or data is well-behaved. In particular, I will provide conditions on
Applied Math Seminar – Wei Zhu, University of Alabama
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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
Applied Math Seminar – Aijun Song, UA Dept. of Electrical and Computer Engineering
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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
Applied Math Seminar – Lin Mu, Oak Ridge National Laboratory
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: 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 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