shadow_tr


Research Seminars: Applied and Computational Mathematics


Fall 2016

Time & Location: Typically talks will be on Fridays in Gibson 325 at 3:30 PM.
Organizers: Mac Hyman

September 2

Topic

SpeakerInstitution

Abstract: TBA


September 9

Topic

SpeakerInstitution

Abstract: TBA


September 16

Topic

SpeakerInstitution

Abstract: TBA


September 23

Topic

SpeakerInstitution

Abstract: TBA


September 30

Topic

SpeakerInstitution

Abstract: TBA


October 7

An Interface-Fitted Adaptive Mesh Method for Free Interface Problems

Xiaoming ZhengCentral Michigan University  (Host Kun Zhao)

Abstract:

This talk presents a novel two-dimensional interface-fitted adaptive mesh method to solve elliptic problems of jump conditions across the interface, and its application in free interface problems with surface tension. The interface-fitted mesh is achieved by the projection of mesh nodes onto the interface and the insertion right on the interface. The interface-fitting technique is combined with an existing adaptive mesh approach which uses addition/subtraction and displacement of mesh nodes. We develop a simple piecewise linear finite element method built on this interface-fitted mesh and prove its almost optimal convergence for elliptic problems with jump conditions across the interface. Applications to two free interface problems, a sheared drop in Stokes flow and the growth of a solid tumor, are presented. In these applications, the interface surface tension serves as the jump condition or the Dirichlet boundary condition of the pressure, and the pressure is solved with the interface-fitted finite element method developed in this work. This is a joint work with John Lowengrub of University of California at Irvine.


October 21

Topic

SpeakerInstitution

Abstract: TBA


October 28

Topic

SpeakerInstitution

Abstract: TBA


November 11

Topic

SpeakerInstitution

Abstract: TBA


November 18

Topic

SpeakerInstitution

Abstract: TBA


December 2

Topic

SpeakerInstitution

Abstract: TBA


December 9

Topic

SpeakerInstitution

Abstract: TBA


Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu