Stability and continuation of solutions to obstacle problems

DOI10.1016/0377-0427(91)90195-PzbMath0731.73100MaRDI QIDQ808883

Erich Miersemann, Hans D. Mittelmann

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational inequalitiesenergy functionalbifurcationstable solutionsstability boundsunilateral problemeigenvalue parameterclosed convex subset of real Hilbert spacenonlinearity of space of admissible vectorsnumerical continuation of solutionsobstacle problems in elasticityoptimal regularity properties of solutionsstrict local minimum

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Plates (74K20) Bifurcation and buckling (74G60) Optimization of other properties in solid mechanics (74P10) Regularity of solutions in optimal control (49N60) Theories of friction (tribology) (74A55)

Related Items (8)

The post-buckling behavior of a beam constrained by springy walls ⋮ Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets ⋮ Smooth dependence on parameters of solutions and contact regions for an obstacle problem. ⋮ Smooth dependence on parameters of solutions of variational inequalities ⋮ Direction and stability of bifurcation branches for variational inequalities ⋮ Optimization-based stability analysis of structures under unilateral constraints ⋮ Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem. ⋮ Smooth bifurcation for variational inequalities based on the implicit function theorem

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