Galerkin finite element methods for parabolic problems

Bibliographic Information

Galerkin finite element methods for parabolic problems

Vidar Thomée

(Lecture notes in mathematics, 1054)

Springer-Verlag, 1984

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  • : us

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Includes bibliographies and index

Description and Table of Contents

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.

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