Syllabus
Introduction to the finite element method. Discretization of general elliptic second order partial differential equation. Finite element space construction.
Cea theorem, convergence, superconvergence, adaptivity, maximum principle. Implementation of finite element method in computers, properties of linear systems coming from finite element discretization, discrete solution computing.
Annotation
Foundations of the Finite Element Method. Recommended elective course for bachelor's program in General
Mathematics, specialization Mathematical Modelling and Numerical Analysis.