hp-Finite Element Methods for Singular Perturbations

• Κύριος συγγραφέας: Melenk, Jens M. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Lecture Notes in Mathematics, 1796
• Θέματα: Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Mechanical engineering.; Numerical analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Analysis.; Mathematical and Computational Engineering.; Mechanical Engineering.; Numerical Analysis.; Global Analysis and Analysis on Manifolds.; Partial Differential Equations.

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-co...

Πίνακας περιεχομένων:

• 1.Introduction
• Part I: Finite Element Approximation
• 2. hp-FEM for Reaction Diffusion Problems: Principal Results
• 3. hp Approximation
• Part II: Regularity in Countably Normed Spaces
• 4. The Countably Normed Spaces blb,e
• 5. Regularity Theory in Countably Normed Spaces
• Part III: Regularity in Terms of Asymptotic Expansions
• 6. Exponentially Weighted Countably Normed Spaces
• Appendix
• References
• Index.