F8370 Present-day methods in physical modelling

Faculty of Science
spring 2018
Extent and Intensity
2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
Teacher(s)
Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor)
Guaranteed by
prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science
Timetable
Tue 10:00–10:50 Fs1 6/1017, Fri 10:00–11:50 F3,03015
Prerequisites
F5330 Basic numerical methods
basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution.
Learning outcomes
The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
Syllabus
  • Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
  • Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
  • Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
Literature
  • MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
  • KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
  • DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
Teaching methods
lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
Assessment methods
Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Teacher's information
http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2019, Spring 2021, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (spring 2018, recent)
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