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The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.

Boundary value problems --- Differential equations, Partial --- Lagrangian functions. --- Multipliers (Mathematical analysis) --- Numerical solutions. --- Functional analysis --- Harmonic analysis --- Functions, Lagrangian --- Calculus of variations --- Dynamics --- Mathematical optimization --- Numerical analysis