On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
Helmut Gfrerer, Michael Mandlmayr, Jiří V. Outrata, Jan Valdman
Abstract
Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace containing derivative) mapping. Under a rather mild regularity requirement, the method exhibits (locally) superlinear convergence behavior. From the main conceptual algorithm, two implementable variants are derived whose efficiency is tested via a generalized equation modeling a discretized static contact problem with Coulomb friction.
Topics & Concepts
MathematicsDiscretizationConvergence (economics)Subspace topologyClass (philosophy)Newton's methodCoulomb frictionApplied mathematicsCoulombMathematical analysisMathematical optimizationNonlinear systemComputer sciencePhysicsArtificial intelligenceEconomicsEconomic growthQuantum mechanicsElectronContact Mechanics and Variational InequalitiesDynamics and Control of Mechanical SystemsNumerical methods in engineering