The inexact primal-dual interior point method which is discussed in this paper chooses a new iterate along an approximation to the Newton direction. The method is the Kojima, Megiddo, and Mizuno globally convergent infeasible interior point algorithm The inexact variation is shown to have the same convergence properties accepting a residual in both the primal and dual Newton step equation also ...

The singular solution of the Laplace equation with a straight-crack is represented by a series of eigenpairs, shadows and their associated edge flux intensity functions (EFIFs). We address the computation of the EFIFs associated with the integer eigenvalues by the quasi-dual function method (QDFM).The QDFM is based on the dual eigenpairs and shadows, and we exhibit the presence of logarithmic t...

This paper proposes a ramp dual-pulse actuation-voltage waveform that reduces actuation-voltage shift in capacitive microelectromechanical system (MEMS) switches. The proposed waveform as well as two reported waveforms (dual pulse, and novel dual-pulse) are analyzed using equivalent-circuit and equation models. Based on the analysis outcome, the paper provides a clear understanding of trapped c...

Article history: Received 14 January 2010 Received in revised form 4 April 2010 Accepted 15 April 2010 Available online 21 April 2010

The solutions of the dual bending energy functional on unit sphere S2 ? D3 are investigated. Dual spherical elastica is characterized by Euler-Lagrange equation using techniques calculus variation. real and parts differential solved different methods. shown to correspond elastic strip constituted planar in R3.

In this paper we introduce the (n + 2)-dimensional Born-Infeld action with a dual field strength H̃. We compute the field equation by using Schur polynomials and give a soliton solution.

Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace’s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems. Since the mixed boundary conditions and the f...

In this paper, we establish an optimal dual version of trace estimate involving angular regularity. Based on this estimate, we get the generalized Morawetz estimates and weighted Strichartz estimates for the solutions to a large class of evolution equations, including the wave and Schrödinger equation. As applications, we prove the Strauss’ conjecture with a kind of mild rough data for 2 ≤ n ≤ ...