Galerkin Finite Element Methods for Parabolic Problems

Inhaltsverzeichnis

• 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.