Galerkin Finite Element Methods for Parabolic Problems

Bibliographic Details
Main Author: Thomee, V.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1984, 1984
Edition:1st ed. 1984
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • The standard Galerkin method
  • Semidiscrete methods based on more general approximations of the elliptic problem
  • Smooth and non-smooth data error estimates for the homogeneous equation
  • Parabolic equations with more general elliptic operators
  • Maximum-Norm estimates
  • Negative norm estimates and superconvergence
  • Completely discrete schemes for the homogeneous equation
  • Completely discrete schemes for the inhomogeneous equation
  • Time discretization by the discontinuous Galerkin method
  • A nonlinear problem
  • The method of lumped masses
  • The H1 and H?1 methods
  • A mixed method
  • A singular problem