Galerkin Finite Element Methods for Parabolic Problems

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Thomée, Vidar. Galerkin Finite Element Methods for Parabolic Problems by Vidar Thomée. -
XII, 364 p. online resource. - (Springer Series in Computational Mathematics, 25) Content notes : The Standard Galerkin Method -- Methods Based on More General Approximations of the Elliptic Problem -- Nonsmooth Data Error Estimates -- More General Parabolic Equations -- Negative Norm Estimates and Superconvergence -- Maximum-Norm Estimates and Analytic Semigroups -- Single Step Fully Discrete Schemes for the Homogeneous Equation -- Single Step Fully Discrete Schemes for the Inhomogeneous Equation -- Single Step Methods and Rational Approximations of Semigroups -- Multistep Backward Difference Methods -- Incomplete Iterative Solution of the Algebraic Systems at the Time Levels -- The Discontinuous Galerkin Time Stepping Method -- A Nonlinear Problem -- Semilinear Parabolic Equations -- The Method of Lumped Masses -- The H1 and H?1 Methods -- A Mixed Method -- A Singular Problem -- Problems in Polygonal Domains -- Time Discretization by Laplace Transformation and Quadrature. 9783540331223 * Numerical analysis. Global analysis (Mathematics). Numerical Analysis. Analysis. Theoretical, Mathematical and Computational Physics. * Series