F8370 Present-day methods in physical modelling

Faculty of Science
Spring 2013
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
Prerequisites
F5330 Basic numerical methods
basics of MATLAB (possibly to gain during the semester)
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 course introduces students into the methods presently used in modelling - the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct partial differential equation problem with initial/border conditions are taught.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); Schrodinger equation, etc.).

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.

Also, the available software packages for particular types of problems are introduced.
Syllabus
  • Finite differences: discretisation ofthe 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 selected problem.
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
Study Materials
The course is taught annually.
The course is taught: every week.
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 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2021, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2013, recent)
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