Course: Theory of Variational Inequalities

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Course title Theory of Variational Inequalities
Course code KMA/TVN
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Obst Alexander, prof. RNDr. DrSc.
Course content
The weak formulation of unilateral boundary value problems in terms of variational inequalities, variational method, penalty method, method of successive approximations, problems with a free boundary and their variational formulations.

Learning activities and teaching methods
Interactive lecture, Lecture supplemented with a discussion, One-to-One tutorial, Individual study, Self-study of literature
  • Contact hours - 52 hours per semester
  • Individual project (40) - 26 hours per semester
  • Preparation for an examination (30-60) - 52 hours per semester
prerequisite
Knowledge
Students should be familiar with the theory of ordinary differential equations (to the extent of the course KMA/ ODR) and elements of partial differential equations.
learning outcomes
Students after finishing this course will have a survey about basic approaches to solution of variational inequalities and their relation to boundary value problems for differential equations.
teaching methods
Lecture supplemented with a discussion
Interactive lecture
Self-study of literature
Individual study
One-to-One tutorial
assessment methods
Combined exam
Seminar work
Recommended literature
  • Fučík, Svatopluk; Kufner, Alois. Nelineární diferenciální rovnice. Vyd. 1. Praha : Nakladatelství technické literatury, 1978.
  • J. F. Rodrigues. Obstacle Problems in Mathematical Physics. 1991.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester