Duality and variational principles of potential boundary value problems

DOI10.1016/0045-7825(87)90051-XzbMath0607.73017OpenAlexW2014327719MaRDI QIDQ1085657

Gonzalo Alduncin

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90051-x

zbMATH Keywords

elastostaticssubdifferential equationscomplementary, mixed, augmented Lagrangianfriction constraintshybrid variational formulationsperturbation duality theorypotential nonlinear boundary value problemsSignorini boundary constraints

Mathematics Subject Classification ID

Related Items (9)

Macro-hybrid dual optimal control of transport flow through elastoviscoplastic porous media ⋮ Optimality condition analysis of macro-hybrid mixed variational inclusions ⋮ Macro-Hybrid Variational Formulations of Constrained Boundary Value Problems ⋮ Subdifferential and variational formulations of boundary value problems ⋮ Optimal control of evolution mixed variational inclusions ⋮ Parallel proximal‐point algorithms for mixed finite element models of flow in the subsurface ⋮ Augmented Macro-Hybrid Mixed Finite Element Schemes for Elastic Contact Problems ⋮ Numerical resolvent methods for macro-hybrid mixed variational nequalities ⋮ Composition duality principles for mixed variational inequalities

Cites Work

• Lectures on numerical methods for non-linear variational problems
• Variational methods in theoretical mechanics
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• On dual-complementary variational principles in mathematical physics
• An introduction to continuum mechanics
• Duality and stability in extremum problems involving convex functions
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• Proximité et dualité dans un espace hilbertien
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