Adaptive Integration of Cut Finite Elements and Cells for Nonlinear Structural Analysis

2020 ◽  
pp. 31-73
Author(s):  
Alexander Düster ◽  
Simeon Hubrich
Keyword(s):  
Structural Analysis ◽  
Finite Elements ◽  
Adaptive Integration ◽  
Nonlinear Structural Analysis ◽  
Nonlinear Structural

scholarly journals Parallel in Time Algorithms for Nonlinear Iterative Methods

2018 ◽  
Vol 63 ◽  
pp. 248-257 ◽  
Author(s):  
Mustafa Gaja ◽  
Olga Gorynina
Keyword(s):  
Boundary Condition ◽  
Structural Analysis ◽  
Iterative Methods ◽  
Numerical Experiments ◽  
Numerical Results ◽  
Contact Boundary ◽  
Nonlinear Structural Analysis ◽  
Nonlinear Structural

In this paper we investigate the feasibility of applying the Parareal algorithm [5, 6] for quasi-static nonlinear structural analysis problems. We describe how this proposal has been realized and present some preliminary numerical results of applying this algorithm to a beam undergoing nonlinear deflection with a contact boundary condition. Further numerical experiments are needed to provide an evidence for the effciency of the method.

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