onr:"swepub:oai:research.chalmers.se:01ab9b19-0f38-49d7-9184-3a2fe5e6abc9"
Search: onr:"swepub:oai:research.chalmers.se:01ab9b19-0f38-49d7-9184-3a2fe5e6abc9" > Finite element meth...
- 1 of 1
- Previous record
- Next record
- To hitlist
Finite element method algorithm for geotechnical applications based on Runge-Kutta scheme with automatic error control
-
- Abed, Ayman, 1976 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Aalto-Yliopisto,Aalto University
-
- Solowski, W. (author)
- Aalto-Yliopisto,Aalto University
- (creator_code:org_t)
- Elsevier BV, 2020
- 2020
- English.
- In: Computers and Geotechnics. - : Elsevier BV. - 0266-352X .- 1873-7633. ; 128
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- This paper introduces a novel explicit algorithm to solve the finite element equation linking the nodal displacements of the elements with the external forces applied via means of non-linear global stiffness matrix. The proposed method solves the equation using Runge-Kutta scheme with automatic error control. The method allows any Runge-Kutta scheme, with the paper demonstrating the algorithm efficiency for Runge-Kutta schemes of second to fifth order of accuracy. The paper discusses the theoretical background, the implementation steps and validates the proposed algorithm. The numerical tests show that the proposed method is robust and stable. In comparison to the iterative implicit methods (e.g. Newton-Raphson method), the new algorithm overcomes the problem of occasional divergence. Furthermore, considering the computation time, the fifth-order accurate scheme proves to be competitive with the iterative method. It seems that the proposed algorithm could be a powerful alternative to the standard solution procedures for the cases with strong nonlinearity, where the typical algorithms may diverge.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
Keyword
- Runge-Kutta scheme
- Explicit methods
- FEM
- Automatic error control
Publication and Content Type
- art (subject category)
- ref (subject category)
Find in a library
- Computers and Geotechnics (Search for host publication in LIBRIS)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Abed, Ayman, 197 ...
- Solowski, W.
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Computational Ma ...
-
- ENGINEERING AND TECHNOLOGY
- ENGINEERING AND ...
- and Electrical Engin ...
- and Control Engineer ...
-
- ENGINEERING AND TECHNOLOGY
- ENGINEERING AND ...
- and Electrical Engin ...
- and Signal Processin ...
- Articles in the publication
- Computers and Ge ...
- By the university
- Chalmers University of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
