| Course Unit Code | 470-4125/01 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| BOU10 | prof. RNDr. Jiří Bouchala, Ph.D. |
| Summary |
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| ... ... ... ... ... ... |
| Learning Outcomes of the Course Unit |
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| ... ... ... ... ... ... |
| Course Contents |
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• Variational equations
• Mixed variational formulations
• Variational inequality
• Introduction to BEM
• Sobolev spaces on boundaries
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| Recommended or Required Reading |
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| Required Reading: |
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• 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 |
• J. Bouchala: Úvod do funkcionální analýzy, am.vsb.cz/bouchala
• J. Bouchala: Variační metody, am.vsb.cz/bouchala
• S. C. Brenner, L. R. Scott: The Mathematical Theory of Finite Element Methods, Springer, 2008
• M. Kučera: Úvod do teorie variačních nerovnic, ZČU 2007
• I. Hlaváček, J. Haslinger, J. Nečas, J. Lovíšek: Solution of Variational Inequalities in Mechanics, Springer-Verlag, 1988
• J. Bouchala: Úvod do BEM, am.vsb.cz/bouchala
• 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
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| Recommended Reading: |
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• 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 |
• S. C. Brenner, L. R. Scott: The Mathematical Theory of Finite Element Methods, Springer, 2008
• M. Kučera: Úvod do teorie variačních nerovnic, ZČU 2007
• I. Hlaváček, J. Haslinger, J. Nečas, J. Lovíšek: Solution of Variational Inequalities in Mechanics, Springer-Verlag, 1988
• J. Bouchala: Úvod do BEM, am.vsb.cz/bouchala
• 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. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 30 | 10 |
| Examination | Examination | 70 | 21 |