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Boundary Integral Equation Research meetings (BIER)

The Boundary Integral Equations Research group meets biweekly to share and discuss current boundary integral equations research in the Applied Mathematics Department here at UC Merced. Topics includes, methods, algorithms, and application in fluid mechanics, optics, chemistry.

This semester professors Francois Blanchette, Camille Carvalho, Nick Knight, Arnold Kim and Changho Kim will give introductory presentations about boundary integral equations and their research,

Undergradaute students,graduate students, postdocs and faculty are welcome to join and attend the BIER meetings !

 

Fall Semester 2018

We will meet on Tuesdays between 12:30pm- 1:30pm in COB1 116.

September 25: Arnold Kim, introduction to boundary integral equations

October 9: Nick Knight, an overview of numerical methods for BIE

October 23: Francois Blanchette, BIE in fluid dynamics 

November 6: Changho Kim, Stochastic BIE

December 4: Camille Carvalho, BIE in optics

 

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)