Twin adaptive scheme for solving inverse problems

• Autorzy: Schaefer, R. , Barabasz, B. , Paszyński, M.
• Konferencja: Evolutionary Computation and Global Optimization (10; Krajowa Konferencja Algorytmy Ewolucyjne i Optymalizacja Globalna; 11-13.06.2007; Będlewo, Poland)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with a class of inverse parametric problems for which the energy function may be defined. The advanced multi-deme strategy that offers an adaptive accuracy is utilized for solving associated optimal control problems. The direct problems necessary for fitness evaluation are computed by the hp-adaptive Finite Elements. The new iterative strategy balances the error of solving the direct problem and the error of solving the optimal control problem in order to descrease the total computational cost. The concept of the strategy is partially formally verified (see Lemma 3.1 and 3.2), moreover the advantages in the computational practice are mentioned.

Słowa kluczowe

EN

inverse parametric problems; genetic strategy

• Czasopismo: Prace Naukowe Politechniki Warszawskiej. Elektronika
• Rocznik: 2007
• Tom: z. 160
• Strony: 241-249
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Schaefer, R.

autor

Barabasz, B.

autor

Paszyński, M.

• University of Science Technology Cracow Poland,

Bibliografia

• [1] Kołodziej J. Hierarchical Strategies of the Genetic Global Optimization. PhD thesis, Jagiellonian University, Faculty of Mathematics and Informatics, 2003.
• [2] Momot J, Kosacki K, Grochowski M, Uhruski P, and Schaefer R. Multi-agent system for irregular parallel genetic computations. LNCS, 3038:623-630, 2004.
• [3] Demkowicz L. Computing with hp-Adaptive Finite Elements. Chapman & Hall/Crc Applied Mathematics & Nonlinear Science, 2006.
• [4] Paszyński M, Barabasz B, and Schaefer R. Efficient adaptive strategy for solving inverse problems. Lecture Notes in Computer Science, 4487 (2007):342-349, 2007.
• [5] Paszyński M and Demkowicz L. Parallel fully automatic hp-adaptive 3d finite element package. Engineering with Computers, 22:255-276, 2006.
• [6] Vose MD. The Simple Genetic Algorithm. MIT Press, 1999.
• [7] Ciarlet P. The Finite Element Method for Elliptic Problems. Society for Industrial & Applied, 2002.
• [8] Schaefer R and Kołodziej J. Genetic search reinforced by the population hierarchy. Foundations of Genetic Algorithms 7, pages 383-399, 2003.
• [9] Rachowicz W, Pardo D, and Demkowicz L. Fully automatic hp-adaptivity in three dimensions. Technical report, ICES Report 04-22, 2004.