101.888 AKNUM : A posteriori error estimation and adaptive FEM
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, VO, 3.0h, 4.5EC

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • Format: Online

Learning outcomes

After successful completion of the course, students are able to...

  • explain how to derive and mathematically prove a-posteriori error estimates for elliptic PDEs
  • formulate the idea of adaptive mesh-refinement
  • state convergence and optimality of adaptive algorithms
  • write a Bachelor or Master thesis in this field

Subject of course

  • Introduction to the finite element method (FEM)
  • a-posteriori error estimation for elliptic partial differential equations
  • local mesh-refinement by newest vertex bisection
  • adaptive algorithms for driving an automatic local mesh-refinement
  • convergence of adaptive algorithms
  • optimal convergence rates and optimal computational complexity

Teaching methods

Prsentation and proof of the mathematical results as well as of some numerical experiments

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Fri12:00 - 12:4505.03.2021 https://tuwien.zoom.us/j/92571858533?pwd=WVUybmlrQlNzaEpEWUFFNGJrVVI4Zz09 (LIVE)First meeting on ZOOM (content, schedule, examination)
Fri09:00 - 10:0012.03.2021 - 25.06.2021 https://tuwien.zoom.us/j/92571858533 (LIVE)Lecture
Fri11:30 - 13:0012.03.2021 - 25.06.2021 https://tuwien.zoom.us/j/92571858533 (LIVE)Lecture
AKNUM : A posteriori error estimation and adaptive FEM - Single appointments
DayDateTimeLocationDescription
Fri05.03.202112:00 - 12:45 https://tuwien.zoom.us/j/92571858533?pwd=WVUybmlrQlNzaEpEWUFFNGJrVVI4Zz09First meeting on ZOOM (content, schedule, examination)
Fri12.03.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri12.03.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri19.03.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri19.03.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri26.03.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri26.03.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri16.04.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri16.04.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri23.04.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri23.04.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri30.04.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri30.04.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri07.05.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri07.05.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri21.05.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri21.05.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri28.05.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri28.05.202111:30 - 13:00 https://tuwien.zoom.us/j/92571858533Lecture
Fri04.06.202109:00 - 10:00 https://tuwien.zoom.us/j/92571858533Lecture

Examination modalities

oral examination 

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Mandatory elective

Literature

No lecture notes are available.

Language

if required in English