Produktbild: A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.09.2012

Abbildungen

X, 294 p.

Verlag

Springer Basel

Seitenzahl

294

Maße (L/B/H)

24,4/17/1,7 cm

Gewicht

535 g

Sprache

Englisch

ISBN

978-3-0348-7599-8

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.09.2012

Abbildungen

X, 294 p.

Verlag

Springer Basel

Seitenzahl

294

Maße (L/B/H)

24,4/17/1,7 cm

Gewicht

535 g

Sprache

Englisch

ISBN

978-3-0348-7599-8

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
  • 1 Introduction.- 2 Evolutionary Variational Inequality Approach.- 2.1 The degenerate free boundary problem.- 2.2 Some application problems.- 2.3 Different fixed domain formulations.- 3 Properties of the Variational Inequality Solution.- 3.1 Problem setting and general notations.- 3.2 Existence and uniqueness result.- 3.3 Monotonicity properties and regularity with respect to time.- 3.4 Regularity with respect to space variables.- 3.5 Some remarks on further regularity results.- 4 Finite Volume Approximations for Elliptic Inequalities.- 4.1 Finite element and volume approximations for the obstacle problem.- 4.2 Comparison of finite volume and finite element approximations.- 4.3 Error estimates for the finite volume solution.- 4.4 Penalization methods for the finite volume obstacle problem.- 4.5 The Signorini problem as a boundary obstacle problem.- 4.6 Results from numerical experiments for elliptic obstacle problems.- 5 Numerical Analysis of the Evolutionary Inequalities.- 5.1 Finite element and volume approximations for the evolutionary problems.- 5.2 Error estimates for the finite element and finite volume solutions.- 5.3 Penalization methods for the evolutionary finite volume inequalities.- 5.4 Numerical experiments for evolutionary variational inequalities.- 6 Injection and Compression Moulding as Application Problems.- 6.1 Classical Hele-Shaw flows and related moving boundary problems.- 6.2 Mathematical modelling of injection and compression moulding.- 6.3 Simulation results.- 7 Concluding Remarks.- List of Figures.- List of Tables.- List of Symbols.