Gurantor department | Department of Applied Mathematics | Credits | 10 |

Subject guarantor | prof. RNDr. Jiří Bouchala, Ph.D. | Subject version guarantor | prof. RNDr. Jiří Bouchala, Ph.D. |

Study level | postgraduate | Requirement | Choice-compulsory |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | |

Intended for the faculties | FEI | Intended for study types | Doctoral |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher 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 study | Way of compl. | Extent |

Full-time | Examination | 28+0 |

Part-time | Examination | 28+0 |

Students, who pases the course, will be able to define a weak solution for various kinds of elliptic boundary value problems, to prove the existence of a unique solution and master a couple of approaches to solve it numerically.

Lectures

Project work

The course is offered throughout the university. Within the course the students are introduced into weak formulations of various kinds of elliptic boundary value problems, solvability conditions as well as fundamental properties of the weak solutions. The correct understanding of these notions is necessary to succeed with solution of various engineering problems.

E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer-Verlag, New York, 1993.

Individual work.

There are not defined other requirements for student.

Subject has no prerequisities.

Subject has no co-requisities.

1. Lebesgue integral.
2. Lebesgue spaces L^p(Omega).
3. Lipschitz domains.
4. Distributions.
5. Sobolev spaces.
6. The Trace Theorem.
7. Weak solutions of BVP.
8. Existence and uniqueness of weak solutions.
9. Regularity.
10. Energy functional.
11. Spectrum.
12. Methods od discretisation.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points | Max. počet pokusů |
---|---|---|---|---|

Examination | Examination | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
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2024/2025 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2024/2025 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2024/2025 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2024/2025 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2024/2025 | (P0613D140032) Informatics and Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2024/2025 | (P0613D140032) Informatics and Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0613D140032) Informatics and Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0613D140032) Informatics and Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2023/2024 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2023/2024 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2023/2024 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2023/2024 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2022/2023 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2022/2023 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2022/2023 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2022/2023 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2022/2023 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2022/2023 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2022/2023 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2022/2023 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2022/2023 | (P0613D140032) Informatics and Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2022/2023 | (P0613D140032) Informatics and Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2021/2022 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2021/2022 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2021/2022 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2020/2021 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2020/2021 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2020/2021 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2020/2021 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2019/2020 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2019/2020 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2019/2020 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2019/2020 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | English | Ostrava | Choice-compulsory | study plan | |||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P2646) Information Technology | (1801V002) Computer Science and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P2646) Information Technology | (1801V002) Computer Science and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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