hp-Finite Element Methods for Singular Perturbations

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...

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שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Melenk, Jens Markus, 1967-...., mathématicien
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
סדרה:Lecture notes in mathematics 1796
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הערה: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• hp-finite element methods for singular perturbations, Jens M. Melenk, 2002, Berlin, Springer, 1 vol. (XIV-318 p.), Lecture notes in mathematics, 3-540-44201-4
• hp-Finite Element Methods for Singular Perturbations, Texte imprimé, 9783662175804
תוכן הענינים:
  • 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.