Galerkin Finite Element Methods for Parabolic Problems
Publication year: 2006
: 978-3-540-33122-3
This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution.
: Mathematics and Statistics, Approximation, Galerkin methods, differential equations, finite element method, finite element theory, maximum, parabolic partial
