VARIATIONAL ASYMPTOTIC DERIVATION OF AN ELASTIC MODEL ARISING FROM THE PROBLEM OF 3D AUTOMATIC SEGMENTATION OF CARDIAC IMAGES

DOI10.1142/S0219530504000382zbMath1172.74318MaRDI QIDQ4657755

Jérôme Pousin, Blaise Faugeras

Publication date: 14 March 2005

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

elasticityasymptotic analysismixed variational formulationshellSegmentationcardiac

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) Variational methods for elliptic systems (35J50) Biomechanical solid mechanics (74L15)

Cites Work

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• Yield design of bonded joints
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Asymptotic analysis of a thin-layer device with Tresca's contact law in elasticity

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