典型文献
A GENERALIZED PENALTY METHOD FOR DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
文献摘要：
We consider a differential variational-hemivariational inequality with constraints,in the framework of reflexive Banach spaces.The existence of a unique mild solution of the inequality,together with its stability,was proved in[1].Here,we complete these results with existence,uniqueness and convergence results for an associated penalty-type method.To this end,we construct a sequence of perturbed differential variational-hemivariational inequalities governed by perturbed sets of constraints and penalty coefficients.We prove the unique solvability of each perturbed inequality as well as the convergence of its solution to the solution of the original inequality.Then,we consider a mathematical model which describes the equilibrium of a viscoelastic rod in unilateral contact.The weak formulation of the model is in a form of a differential variational-hemivariational inequality in which the unknowns are the displacement field and the history of the deformation.We apply our abstract penalty method in the study of this inequality and provide the corresponding mechanical interpretations.
文献关键词：
中图分类号：
作者姓名：
Liang LU;Lijie LI;Mircea SOFONEA
作者机构：
Guangxi Key Laboratory of Cross-border E-commerce Intelligent Information Processing,Guangxi University of Finance and Economics,Nanning 530003,China;Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Yulin 537000,China;Laboratoire de Mathématiques et Physique,Université de Perpignan Via Domitia,52 Avenue Paul Alduy,66860 Perpignan,France
文献出处：
引用格式：
[1]Liang LU;Lijie LI;Mircea SOFONEA-.A GENERALIZED PENALTY METHOD FOR DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES)[J].数学物理学报（英文版）,2022(01):247-264
A类：
GENERALIZED,PENALTY,DIFFERENTIAL,VARIATIONAL,HEMIVARIATIONAL,INEQUALITIES,hemivariational
B类：
METHOD,FOR,We,consider,differential,inequality,constraints,framework,reflexive,Banach,spaces,existence,mild,solution,together,its,stability,was,proved,Here,complete,these,results,uniqueness,convergence,associated,penalty,type,method,To,this,end,construct,sequence,perturbed,inequalities,governed,by,sets,coefficients,solvability,each,well,original,Then,mathematical,model,which,describes,equilibrium,viscoelastic,rod,unilateral,contact,weak,formulation,unknowns,are,displacement,field,history,deformation,apply,our,abstract,study,provide,corresponding,mechanical,interpretations
AB值：
0.489131
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