Comparison of implicit and explicit numerical integration schemes for a bounding surface soil model without elastic range

2021 ◽  
Vol 140 ◽  
pp. 104206
Author(s):  
Christian Carow ◽  
Frank Rackwitz
Keyword(s):  
Numerical Integration ◽  
Surface Soil ◽  
Bounding Surface ◽  
Elastic Range ◽  
Integration Schemes ◽  
Soil Model ◽  
Implicit And Explicit

3D nonlinear MHD calculations using implicit and explicit time integration schemes

1986 ◽  
Vol 65 (2) ◽  
pp. 253-272 ◽  
Author(s):  
L. Garcia ◽  
H.R. Hicks ◽  
B.A. Carreras ◽  
L.A. Charlton ◽  
J.A. Holmes
Keyword(s):  
Time Integration ◽  
Explicit Time Integration ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Implicit And Explicit

A Comparative Study of Implicit and Explicit Composite Time Integration Schemes

2020 ◽  
Vol 20 (13) ◽  
pp. 2041003 ◽  
Author(s):  
Wooram Kim ◽  
J. N. Reddy
Keyword(s):  
Time Integration ◽  
Point Of View ◽  
Structural Problems ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Nonlinear Transient ◽  
Computational Aspects ◽  
Similarities And Differences ◽  
Implicit And Explicit

In this paper, a number of recently proposed implicit and explicit composite time integration schemes are reviewed and critically evaluated. To give suitable guidelines of using them in practical transient analyses of structural problems, numerical performances of these schemes are compared through illustrative examples. Meaningful insights into computational aspects of the composite schemes are also provided. In the discussion, the role of the splitting ratio of the recent composite schemes is also investigated through a different point of view, and similarities and differences of various composite schemes are also studied. It is shown that the explicit composite scheme proposed recently by the authors can noticeably increase the efficiency and the accuracy of linear and nonlinear transient analyses when compared with other well-known composite schemes.

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