Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration

1995 ◽  
Vol 32 (6) ◽  
pp. 1750-1763 ◽  
Author(s):  
Kenneth Eriksson ◽  
Claes Johnson
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Time Integration ◽  
Parabolic Problems ◽  
Adaptive Finite Element ◽  
Adaptive Finite Element Methods ◽  
Long Time ◽  
Long Time Integration

scholarly journals Adaptivity in Crashworthiness Calculations

1993 ◽  
Vol 1 (2) ◽  
pp. 97-106 ◽  
Author(s):  
Ted Belytschko ◽  
Sang-Ho Lee ◽  
I-Sheng Yeh ◽  
Jerry I. Lin ◽  
Chen-Shyh Tsay ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Transient Analysis ◽  
Time Integration ◽  
Adaptive Finite Element ◽  
Data Preparation ◽  
Adaptive Finite Element Methods ◽  
Explicit Time Integration ◽  
Car Model ◽  
Nonlinear Transient

h-Adaptive finite element methods for nonlinear transient analysis by explicit time integration are described. Examples are given of adaptive calculations for simple components and prototype calculations for a full car model. h-Adaptivity offers substantial reductions in data preparation costs and improvements in accuracy.

scholarly journals Adaptive finite element methods in geodynamics

2008 ◽  
Vol 18 (7/8) ◽  
pp. 1015-1035 ◽  
Author(s):  
D.R. Davies ◽  
J.H. Davies ◽  
O. Hassan ◽  
K. Morgan ◽  
P. Nithiarasu
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Adaptive Finite Element ◽  
Adaptive Finite Element Methods

Mesh Refinement Formulations in Adaptive Finite Element Methods

1996 ◽  
Vol 210 (4) ◽  
pp. 353-361 ◽  
Author(s):  
L-Y Li ◽  
P Bettess ◽  
J W Bull ◽  
T Bond
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Mesh Refinement ◽  
Adaptive Finite Element ◽  
Global Level ◽  
Adaptive Finite Element Methods ◽  
Element Level ◽  
Adaptive Remeshing ◽  
Numerical Examples ◽  
New Ideas

This paper presents some new ideas for developing adaptive remeshing strategies. It is shown that correct mesh refinement formulations should be defined at an element level rather than a global level. To accomplish this, permissible element errors are required to be defined. This paper describes the methods to determine the permissible element errors. Two mesh refinement formulations are derived according to different accuracy definitions and are compared with the conventional mesh refinement formulation derived at the global level. Numerical examples are shown to explain the features of these mesh refinement formulations. Recommendations are made for use of these mesh refinement formulations.

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