Course Details

1. Understand the concepts of interpolation for curve fitting and apply this techniques to obtain the interpolation polynomials for given data sets and various functions
2. Apply numerical integration techniques for the solutions of integral functions and calculate the approximate solutions of first and second order differential equations.
3. Describe the electromagnetic field evolution in terms of Maxwell’s equation and the various approaches used for its numerical analysis.
4. Comprehend the principles of the Finite Element Method and apply the above techniques to formulate engineering problems
5. Apply Finite Difference approach to formulate Engineering problems in the frequency and time domain.

Application of interpolation methods for curve fitting.

Use of numerical approaches for integration and differentiation.

Review of Ritz and Galerkin methods for formulating variational problems. Introduction to Finite Element Analysis for Electromagnetic field problems. Discretisation of variational formulations generated using Maxwell’s equations. Development of discretised variational formulation with the use of shape functions. Assembly of finite element matrices and  standard eigenvalue problem formulation.

• S.C Chapra and R.P. Canale, “Numerical Methods for Engineeris”, Mc Graw Hill, Sixth Ed., 2010.

• B.M.A. Rahman and A. Agrawal, “Finite element Modeling Methods for Photonics, Artech House, 2013
• A. Taflove and S.C. Hagness, “Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, 3rd Ed., 2005.

Students are taught the course through lectures (3 hours per week) in classrooms or lectures theatres, by means of traditional tools or using computer demonstration.

Auditory exercises, where examples regarding matter represented at the lectures, are solved and further, questions related to particular open-ended topic issues are compiled by the students and answered, during the lecture or assigned as homework.

Topic notes are compiled by students, during the lecture which serve to cover the main issues under consideration. Students are also advised to use the subject’s textbook or reference books for further reading and practice in solving related exercises. Tutorial problems are also submitted as homework and these are solved during lectures or privately during lecturer’s office hours.