Helsinki University of Technology
Institute of Mathematics

Mat-5.210 Special Course in Computational Mechanics
Autumn 2006: "A Posteriori analysis for PDE's" (2 ocr)

S. Repin, V.A. Steklov Institute of Mathematics in St.-Petersburg

Contents

In the lecture course, an overview of a posteriori methods used in modern numerical analysis is exposed. The main purpose is to present (at least for certain classes of partial differential equations) a mathematically justified and practically efficient answer to the question:

How to verify the accuracy of approximate solutions computed by various numerical methods?

In the course, main ideas that form the basis of various a posteriori error estimation methods are discussed. A considerable part of the course is devoted to a new functional approach to a posteriori error control of PDE's developed in the recent decade. A special attention is paid on a posteriori estimates for mixed finite element approximations and approximations of problems in the theory of viscous fluids.

Schedule

The lectures are given by Visiting Professor Sergey Repin on Wednesdays at 12-14 in the room U322 and on Fridays at 8-10 in the room U356. The first lecture is on Wednesday 4.10.2006. There are no lectures during the exam period 26.10.-1.11.

Prerequisities

The course is oriented towards students and young scientists. The basic knowledge of differential calculus, functional analysis and finite element methods form a sufficient background to follow the course.

Course Material

The course material is announced during the lectures and on the course homepage.

  • Lecture Plan (PDF)
  • Lecture Notes (PDF)

    • Additional Information

    The course values 2 old credits (ov) and the requirements for passing the course consist of homework assignments. Listeners interested in a deeper investigation of the subject will be supplied with the literature and special research type tasks.

    The course assistant is Antti Niemi.

    Last Update: 6.9.2006