Stable semi-explicit algorithms for non-linear dynamic problems

1988 ◽  
Vol 16 (6) ◽  
pp. 855-865 ◽  
Author(s):  
Jerzy Kujawski
2002 ◽  
Vol 28 (2) ◽  
pp. 83-104 ◽  
Author(s):  
S. Erlicher ◽  
L. Bonaventura ◽  
O. S. Bursi

Author(s):  
Ewen Biotteau ◽  
Anthony Gravouil ◽  
Antonius Lubrecht ◽  
Alain Combescure

This paper presents an adaptive strategy dedicated to non-linear transient dynamic problems. The spatial mesh is optimized to ensure the accuracy of the solution. Beginning from a coarse mesh, an error indicator is used to estimate the discretization error and new elements are created where the prescribed accuracy is not reached. A localized multigrid solver is used and the strategy is applied recursively until the local mesh size ensures that the discretization error is less than the prescribed accuracy. The spatial mesh is recreated at each time step.


2020 ◽  
Author(s):  
Gabriel Stockdale ◽  
Vasilis Sarhosis ◽  
Gabriele Milani

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