We consider the discretization of an optimal boundary control problem with distributed observation by the boundary concentrated finite element method. With an H(Ω) regular elliptic PDE on two-dimensional domains as constraint, we prove that the discretization error ‖u∗ − uh‖L2(Γ) decreases like N −δ, where N denotes the total number of unknowns. For the case δ = 1 in convex polygonal domains, t...

Abstract. We consider a fully discrete approximation of the H gradient flow of an energy integral where the energy density is given by the sum of a nonnegative multi-well potential term and a bending energy term. The spatial discretization is based on a Fourier spectral method, which is combined with an implicit Euler time discretization. The numerical method is shown to be stable and to exhibi...

Submitted for the DFD12 Meeting of The American Physical Society On a robust ALE method with the discrete primary and secondary conservation properties1 SEONGWON KANG, NAHMKEON HUR, Dept. of Mechanical Engineering, Sogang University, Korea — The objective of the present study is to construct a robust, implicit discretization method for the arbitrary Lagrangian-Eulerian (ALE) method for deformin...

We propose a new scheme of discretization for solving Fredholm integral equations of the first kind and show that for some classes of equations this scheme is order-optimal in the sense of amount of used Galerkin information.

Contents Introduction 3 1 Finite volume discretization of balance laws 4 1.