# Home Page of Dharshi Devendran

## Contact Information:

New York University

Courant
Institute for Mathematical Sciences

Office 907

251 Mercer St

New York, NY 10012

Email: dharshi at cims dot nyu dot edu

## Research Interests:

I am a Ph.D. student in mathematics at the Courant
Institute. My advisor is Charles Peskin. My research
interests include computational fluid dynamics (in particular, methods
for fluid-structure interaction), mathematical biology and finite
elements. For my thesis, I have developed a version
of the immersed boundary method in which deformations of elastic
structures are approximated by piecewise linear deformations, as in
finite element methods. Currently, I am using this
method to understand the fluid dynamics of blood flow within the early
embryonic tubular heart. I am also interested in the theory of
the immersed boundary method, and I am working on a convergence proof
of an immersed boundary method for a linear elliptic problem in three
dimensions. Outside of my thesis work, I am building a
computational model to study the fluid dynamics of active suspensions
in periodic channels with jagged boundaries. This is joint work
with Michael Shelley and Kellen Petersen.

## Publications and Talks:

D. Devendran, C.S. Peksin. An Energy-Based
Immersed Boundary Method for Incompressible Viscoelasticity.
Submitted.

An Energy-Based Model of
Incompressible Viscoelasticity, Mostly Biomathematics Lunchtime
Seminar, New York University (Nov. 2010)

## Teaching:

Calculus 1, TA (Spring 2011)

Written Exam Workshop, Instructor (Spring 2010)

Introduction to Analysis 1, Grader (Fall 2010)

Linear Algebra, Instructor (Summer 2009)

Computers in
Medicine
and Biology, TA (Spring 2009)

Linear Algebra, TA (Fall 2008)

Analysis 2, TA (Spring 2008)