Dr Bishnu Lamichhane, The University of Newcastle
The finite element method is one of the most powerful techniques in approximating the solution of partial differential equations arising in the mathematical modelling of many physical and engineering processes. The finite element method is based on firm mathematical foundation, where mathematical tools from functional analysis, approximation theory and variational calculus are applied to analyse the whole approximation process. This course aims at introducing the theory and computation of finite element techniques for elliptic and parabolic partial differential equations. Applications to heat transfer, elasticity and image processing will be discussed.
This course will provide an introduction to the finite element method. The following topics will be covered:
28 hours of lectures spread over the four weeks, with consultation as requested/required. Some lectures may be held in a computer lab.
Most of the materials will be based on following finite element books:
Lecture notes will be provided on a weekly basis.
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Dr Bishnu Lamichhane,
The University of Newcastle
I received my MSc in industrial mathematics from the University of Kaiserslautern in 2001, and PhD in mathematics from the University of Stuttgart in 2006. I arrived in Australia in 2008 as a postdoctoral fellow at the Australian National University. Now I am a senior lecturer at the University of Newcastle. Broadly, I am interested in applied mathematics,numerical analysis and differential equations. My main research focus is approximating solutions of partial differential equations using finite element methods.