Advanced Partial Differential Equations and Finite Element Method Distribution Theory - Introduction, Topology of Test functions, Convolutions, Schwartz Space, Tempered Distributions, Fourier Transform; Sobolev Spaces - Definitions, Extension Operators, Continuous and Compact Imbeddings, Trace results; Weak Solutions - Variational formulation of Elliptic Boundary Value Problems, Weak solutions, Maximum Principle, Regularity results; Finite Element Method (FEM) - Introduction to FEM, Finite element solution of Elliptic boundary value problems.  

Books

* L. Schwartz, Theorie des Distributions, Hermann, (1966).

* S. Kesavan, Topics in Functional Analysis and applications, John Wiley & Sons (1989).

* P. G. Ciarlet, Lectures on Finite Element Method, TIFR Lecture Notes Series, Bombay (1975).

* J. T. Marti, Introduction to Finite Element Method and Finite Element Solution of Elliptic Boundary Value Problems, Academic Press (1986).


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 22 Jun 2024