Skip to content Skip to navigation

Boundary Integral Equation Research Group

The boundary integral equations research group meets weekly to share and discuss current boundary integral equations research in the Applied Mathematics Unit here at UC Merced. We will focus on applications to electromagnetics and fluid mechanics.  

Our group is led by Professors Francois Blanchette, Camille Carvalho, Shilpa Khatri, and Arnold Kim and consists of undergradaute students,graduate students, postdocs and faculty in the Applied Mathematics program.

 

Spring Semester 2018

We will meet on Fridays 11:30 am - 12:30 pm in COB 207.

January 26: Introductory Meeting 

February 2: Introduction to Stokes Equations (Read Pozrikidis Sections 1.1-1.3; presentation on 1.1-1.2) 

February 9: Reciprocal Identity for Stokes Equations (Read Pozrikidis Sections 1.4; presentation on 1.4)

February 16: Introduction to Potential Theory (Read Guenther and Lee Sections 8.1 - 8.3; presentation on 8.1 - 8.3) 

February 23: Boundary Integral Equations for Laplace's Equation (Read Guenther and Lee Sections 8.6 - 8.7; presentation on 8.7)

March 2: Green's Functions for the Stokes Equations (Read Pozrikidis Sections 2.1-2.2; presentation on 2.1-2.2)

March 9:  Boundary Integral Equations for Stokes Equations (Read Pozrikidis Sections 2.3; presentation on 2.3)

March 16: Numerical Methods for Boundary Integral Equations for Stokes Equations

April 13: Overview of BIE for Laplace's Equation (Read Guenther and Lee Section 8.3, 8.6-8.7) 

April 20: Numercial Algorithm for BIE (Plan algorithm) 

May 4: Presentation of Numerics (Code BIE Solver)