Canonical approach to biharmonic variational problems
نویسندگان
چکیده
منابع مشابه
A variational approach to double-porosity problems
In this paper we outline an approach by Γ-convergence to some problems related to ‘double-porosity’ homogenization. Various such models have been discussed in the mathematical literature, the first rigorous result for a linear double-porosity model having been obtained by Arbogast, Douglas and Hornung in [7]. The two-scale convergence approach to double-porosity problems was developed by Allair...
متن کاملVariational Approach to Some Optimization Control Problems
This paper presents the variational approach to some optimization problems: Mayer’s problem with or without constraints on the final point, local controllability of a trajectory, time-optimal problems.
متن کاملA numerical approach to variational problems subject to convexity constraint
We describe an algorithm to approximate the minimizer of an elliptic functional in the form ∫ Ω j(x, u,∇u) on the setC of convex functions u in an appropriate functional spaceX . Such problems arise for instance in mathematical economics [4]. A special case gives the convex envelope u∗∗ 0 of a given function u0. Let (Tn) be any quasiuniform sequence of meshes whose diameter goes to zero, and In...
متن کاملSinc Solution of Biharmonic Problems
In this paper we solve two biharmonic problems over a square, B = (−1, 1) × (−1, 1). (1) The problem ∇4U = f , for which we determine a particular solution, U , given f , via use of Sinc convolution; and (2) The boundary value problem ∇4V = 0 for which we determine V given V = g and normal derivative Vn = h on ∂B, the boundary of B. The solution to this problem is carried out based on the identity
متن کاملCanonical Dual Approach to Solving 0-1 Quadratic Programming Problems
By using the canonical dual transformation developed recently, we derive a pair of canonical dual problems for 0-1 quadratic programming problems in both minimization and maximization form. Regardless convexity, when the canonical duals are solvable, no duality gap exists between the primal and corresponding dual problems. Both global and local optimality conditions are given. An algorithm is p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1970
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/99801