General aspects of Trefftz method and relations to error estimation of finite element approximations

• Autorzy: Ohnumus S. , Rüter M. , Stein E.
• Konferencja: International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
• Języki publikacji: EN

Abstrakty

EN

In this paper a guaranteed upper bound of the global discretization error in linear elastic finite element approximations is presented, based on a generalized Trefftz functional. Therefore, the general concept of complementary energy functionals and the corresponding approximation methods of Ritz, Trefftz, the method of orthogonal projection and the hypercircle method are briefly outlined. Furthermore, it is shown how to use a generalized Trefftz functional to solve a Neumann problem in linear elasticity. Based on an implicit a posteriori error estimator within the finite element method, using equilibrated local Neumann problems, the generalized Trefftz functional yields a computable guaranteed upper bound of the discretization error without multiplicative constants.

Słowa kluczowe

EN

Trefftz method

PL

metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 2-3
• Strony: 425--437
• Opis fizyczny: Bibliogr. 51 poz., wykr.

Twórcy

autor

Ohnumus S.

• Institute for Structural and Computational Mechanics, University of Hannover, Appelstr. 9A, 30167 Hannover, Germany

autor

Rüter M.

• Institute for Structural and Computational Mechanics, University of Hannover, Appelstr. 9A, 30167 Hannover, Germany

autor

Stein E.

• Institute for Structural and Computational Mechanics, University of Hannover, Appelstr. 9A, 30167 Hannover, Germany

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