Upper and lower solution estimates in unilateral viscoelastodynamics
Copyright policy )Upper and lower solution estimates in unilateral viscoelastodynamics
The variational and bounding method of hypercircle for linear, elliptic, boundary-value problems of mathematical physics [e.g. \textit{W. Velte}, Direkte Methoden der Variationsrechnung (1976; Zbl 0333.49035)], is extended in this paper to inequality, evolution problems of time- dependent structural mechanics. So a procedure is presented, which provides two-sided estimates for solution quantities, either global or local, of the initial mixed boundary-value problem in piecewise linearized unilateral viscoelastodynamics.
initial mixed boundary-value problem, inequality, linear, elliptic, boundary-value problems, bounding method, piecewise linearized unilateral viscoelastodynamics, Variational inequalities, Other numerical methods in solid mechanics, global, evolution problems, two- sided estimates for solution, local, Unilateral problems; variational inequalities (elliptic type), Dynamical problems in solid mechanics, hypercircle, time-dependent structural mechanics
initial mixed boundary-value problem, inequality, linear, elliptic, boundary-value problems, bounding method, piecewise linearized unilateral viscoelastodynamics, Variational inequalities, Other numerical methods in solid mechanics, global, evolution problems, two- sided estimates for solution, local, Unilateral problems; variational inequalities (elliptic type), Dynamical problems in solid mechanics, hypercircle, time-dependent structural mechanics
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