An iterative method for obstacle problems via green's functions

DOI10.1016/0362-546X(90)90142-4zbMath0725.65068OpenAlexW2040047022MaRDI QIDQ5203592

Peter Shi

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90142-4

zbMATH Keywords

strong convergencevariational inequalitiesSobolev spacefixed point theoryGreen's functionobstacle problemsHilbert spaceintegral operatoriterative methodscompact operator

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (16)

Generalized quasi variational inequalities and implicit wiener – hopf equations^* ⋮ Generalized multivalued variational inequalities. II ⋮ The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities ⋮ Set-valued variational inequalities ⋮ Generalized multivalued quasi-variational inequalities ⋮ Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities ⋮ Generalized multivalued quasi-variational inequalities. II ⋮ Multivalued strongly nonlinear variational inequalities ⋮ Multivalued quasi variational inclusions and implicit resolvent equations. ⋮ Set-valued resolvent equations and mixed variational inequalities ⋮ Generalized set-valued variational inclusions and resolvent equations ⋮ Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities ⋮ Set-valued mixed quasi-variational inequalities and implicit resolvent equations ⋮ Some aspects of variational inequalities ⋮ Wiener-Hopf equations and variational inequalities ⋮ Generalized variational inclusions and generalized resolvent equations in Banach spaces

Cites Work

• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
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