470-4125/01 – Variational Methods II (VM2)
| Gurantor department | Department of Applied Mathematics | Credits | 6 |
| Subject guarantor | prof. RNDr. Jiří Bouchala, Ph.D. | Subject version guarantor | prof. RNDr. Jiří Bouchala, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 2 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2022/2023 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
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Teaching methods
Lectures
Tutorials
Project work
Summary
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Compulsory literature:
• J. Bouchala, J. Zapletal: Variational methods, am.vsb.cz/bouchala
• S. C. Brenner, L. R. Scott: The Mathematical Theory of Finite Element Methods, Springer, 2008
• I. Hlaváček, J. Haslinger, J. Nečas, J. Lovíšek: Solution of Variational Inequalities in Mechanics, Springer-Verlag, 1988
• O. Steinbach: Numerical Approximation Methods for Elliptic Boundary Value Problems, Springer, 2003
• W. McLean: Strongly Elliptic Systems and Boundary Integral Equations, Cambridge University Press, 2000
Recommended literature:
• S. C. Brenner, L. R. Scott: The Mathematical Theory of Finite Element Methods, Springer, 2008
• I. Hlaváček, J. Haslinger, J. Nečas, J. Lovíšek: Solution of Variational Inequalities in Mechanics, Springer-Verlag, 1988
• O. Steinbach: Numerical Approximation Methods for Elliptic Boundary Value Problems, Springer, 2003
• W. McLean: Strongly Elliptic Systems and Boundary Integral Equations, Cambridge University Press, 2000
Additional study materials
Way of continuous check of knowledge in the course of semester
Conditions of credit exam:
activity during tutorials, project, test.
E-learning
Other requirements
There are not defined other requirements for student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
• Variational equations
• Mixed variational formulations
• Variational inequality
• Introduction to BEM
• Sobolev spaces on boundaries
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction