470-4125/01 – Variational Methods II (VM2)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Year2Semesterwinter
Study languageCzech
Year of introduction2022/2023Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 10+10

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

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

Part-time form (validity from: 2022/2023 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  10
        Examination Examination 70  21 3
Mandatory attendence participation: Participation at tutorials is recommended.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics K Czech Ostrava 2 Choice-compulsory type B study plan
2024/2025 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics P Czech Ostrava 2 Choice-compulsory type B study plan
2024/2025 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC P Czech Ostrava 2 Optional study plan
2024/2025 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC K Czech Ostrava 2 Optional study plan
2023/2024 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics P Czech Ostrava 2 Choice-compulsory type B study plan
2023/2024 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics K Czech Ostrava 2 Choice-compulsory type B study plan
2023/2024 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC P Czech Ostrava 2 Optional study plan
2023/2024 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC K Czech Ostrava 2 Optional study plan
2022/2023 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics K Czech Ostrava 2 Choice-compulsory type B study plan
2022/2023 (N0541A170007) Computational and Applied Mathematics (S01) Applied Mathematics P Czech Ostrava 2 Choice-compulsory type B study plan
2022/2023 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC K Czech Ostrava 2 Optional study plan
2022/2023 (N0541A170007) Computational and Applied Mathematics (S02) Computational Methods and HPC P Czech Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter