Galerkin Finite Element Methods for Parabolic Problems
Springer Berlin (Verlag)
978-3-642-06967-3 (ISBN)
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.
Erscheint lt. Verlag | 18.11.2010 |
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Reihe/Serie | Springer Series in Computational Mathematics |
Zusatzinfo | XII, 364 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 578 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Naturwissenschaften ► Physik / Astronomie | |
Schlagworte | Analysis • Approximation • Differential Equations • Finite Element Method • finite element theory • Galerkin Methods • Maximum • parabolic partial |
ISBN-10 | 3-642-06967-3 / 3642069673 |
ISBN-13 | 978-3-642-06967-3 / 9783642069673 |
Zustand | Neuware |
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