A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity

DOI10.1007/BF01385615zbMath0706.73080OpenAlexW2020327980MaRDI QIDQ918815

Pablo V. Negrón-Marrero

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133492

zbMATH Keywords

three-dimensional problemsLavrentiev phenomenon

Mathematics Subject Classification ID

Related Items (15)

On the Lavrentiev phenomenon for autonomous second-order integrands ⋮ Multiscale registration ⋮ The Numerical Computation of the Critical Boundary Displacement for Radial Cavitation ⋮ Joint Segmentation/Registration Model by Shape Alignment via Weighted Total Variation Minimization and Nonlinear Elasticity ⋮ Surface penalization of self-interpenetration in linear and nonlinear elasticity ⋮ A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis ⋮ Gene expression data to mouse atlas registration using a nonlinear elasticity smoother and landmark points constraints ⋮ A non-local topology-preserving segmentation-guided registration model ⋮ Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms ⋮ Nonlocal Joint Segmentation Registration Model ⋮ Elastostatics in the presence of a temperature distribution or inhomogeneity ⋮ Interpretation of the Lavrentiev phenomenon by relaxation ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ A Joint Segmentation/Registration Model Based on a Nonlocal Characterization of Weighted Total Variation and Nonlocal Shape Descriptors ⋮ Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
• A numerical method for detecting singular minimizers
• Singular minimisers in the calculus of variations in one dimension
• Regularity properties of deformations with finite energy
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• Convexity conditions and existence theorems in nonlinear elasticity
• Singular minimizers for regular one-dimensional problems in the calculus of variations
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A field theory approach to stability of radial equilibria in nonlinear elasticity
• Almost-everywhere injectivity in nonlinear elasticity
• Global invertibility of Sobolev functions and the interpenetration of matter

This page was built for publication: A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity