In this paper, we present a successive approximation damped Newton methodfor bi-obstacle problems based on its equivalent nonsmooth equations. Under suitable conditions, we get the global convergence of the algorithm....In this paper, we present a successive approximation damped Newton methodfor bi-obstacle problems based on its equivalent nonsmooth equations. Under suitable conditions, we get the global convergence of the algorithm. Some numericalresults are also reported in the paper.展开更多
This paper is devoted to the existence and the uniqueness of the entropy solution for a general scalar conservation law associated with a forced bilateral obstacle condition in a bounded domain of Rp, p>= 1. The me...This paper is devoted to the existence and the uniqueness of the entropy solution for a general scalar conservation law associated with a forced bilateral obstacle condition in a bounded domain of Rp, p>= 1. The method of penalization is used with a view to obtaining an existence result. However, the former only gives uniform L -estimates and so leads in fact to look for an Entropy Measure-Valued Solution, according to the specific properties of bounded sequences in L . The uniqueness of this EMVS is proved. Classically, it first ensures the existence of a bounded and measurable function U entropy solution and then the strong convergence in Lq of approximate solutions to U.展开更多
文摘In this paper, we present a successive approximation damped Newton methodfor bi-obstacle problems based on its equivalent nonsmooth equations. Under suitable conditions, we get the global convergence of the algorithm. Some numericalresults are also reported in the paper.
文摘This paper is devoted to the existence and the uniqueness of the entropy solution for a general scalar conservation law associated with a forced bilateral obstacle condition in a bounded domain of Rp, p>= 1. The method of penalization is used with a view to obtaining an existence result. However, the former only gives uniform L -estimates and so leads in fact to look for an Entropy Measure-Valued Solution, according to the specific properties of bounded sequences in L . The uniqueness of this EMVS is proved. Classically, it first ensures the existence of a bounded and measurable function U entropy solution and then the strong convergence in Lq of approximate solutions to U.
