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1

A non-interior-point algorithm predictor-corrector algorithm for Variational Inequality Problem with equality linear constraints

Hu X., Huang C., Luo A., Chen H.

Przegląd Elektrotechniczny

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2013

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R. 89, nr 3b

101--103

EN

We present a noninterior-point predictor-corrector algorithm for variational inequality Problem with equality linear constraints based on Chen-Kanzow-Smale smoothing techniques. This method is based upon a modified predictor-corrector interior-point algorithm. It is established the global linear convergence.

PL

W artykule przedstawiono metodę punktów nie-wewnętrznych predykator-korektor, uwzględniający nierówności wariancyjne z liniowym ograniczeniem liniowości. Jego działanie oparto na technice Chen-Kanzow-Smale oraz zmodyfikowanej metodzie punktów wewnętrznych predykator-korektor. Analizie poddano liniową zbieżność algorytmu.

2

Parallelization of an optimal power flow with a multicore symmetric shared memory computer

Moreira Meira J. C., Miguez Garcia E., Vilacha Perez C., Fernandez Otero A.

Przegląd Elektrotechniczny

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2011

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R. 87, nr 10

241-245

EN

The boom of multicore microprocessors seen in recent years has made it so that any personal computer (PC) can be used as a small parallel computer. In this new environment a review of the algorithms and the tools used for the analysis of electrical systems is needed in order to take advantage of all the computing power available today on a PC. This paper presents the parallelization of an optimal power flow (OPF) which is solved with a predictor-corrector interior point method (PCIPM). OpenMP, a programming model for symmetric machines with shared memory, will be used for the parallelization.

PL

Rozkwit procesorów wielordzeniowych procesorów w ostatnich latach umożliwia zastosowanie przeciętnego komputera osobistego (PC) jako małego komputera równoległego. Przeglądu algorytmów oraz narzędzi używanych do analizy systemów elektrycznych w środowisku procesorów wielordzeniowych jest niezbędny w celu skorzystania z mocy obliczeniowej dostępnej obecnie na komputerze PC. W artykule przedstawiono paralelizację optymalnego przepływu energii (OFE), który został rozwiązany za pomocą algorytmu predyktor-korektor metody punktu wewnętrznego (PCIPM). Zastosowano do paralelizacja OpenMP, model programowania dla symetrycznych maszyn o pamięci współdzielonej.

3

On explicit interval methods of Adams - Bashforth type

Jankowska M., Marciniak A.

Computational Methods in Science and Technology

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2002

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Vol. 8, nr 2

46--57

EN

In our previous paper [1] we have considered implicit interval multistep methods of Adams-Moulton type for solving the initial value problem. On the basis of these methods and the explicit ones introduced by Sokin [2] we wanted to construct predictor-corrector (explicit-implicit) interval methods. However, it turned out that the formulas given by Šokin are incorrect even in the simplest case. Therefore, in this paper we direct our attention to the explicit interval methods of Adams-Bashforth type and modify the formulas of Šokin. For the modified explicit interval methods it is proved, like f o r the implicit interval methods considered in [1], that the exact solution of the problem belongs to interval-solutions obtained by these methods. Moreover, it is shown an estimation of the widths of such interval-solutions.

4

New predictor-corrector method used as a solver for decohesion problem

Kowalczyk M.

Computer Assisted Mechanics and Engineering Sciences

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1998

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Vol. 5, nr 4

399-420

EN

In certain problems of loading of elastic-perfectly plastic thin sheets a continuous displacement solution may not exist. The evolution of plastic zone is then connected with the evolution of discontinuity lines in both velocity and displacement fields. In the present paper it is assumed that in the presence of discontinuity lines the localized plastic zones start to proceed. A numerical study of decohesion within thin elastic-plastic sheets is conducted to total collapse. It is shown, that the localized plastic flow may develop simultaneously with the diffuse plastic zones. The structural softening caused by decohesive cracks is coupled with a complex elasto-plastic deformation process, where the previously developed diffuse plastic zones are subjected to unloading. The post-critical analysis is performed using a new reliable algoritm of a continuation method. The algorithm is based on a rank analysis of the rectangular matrix of the homogeneous set of incremental equations.