Piecewise polynomial shape functions for hp-finite element methods

2009 ◽  
Vol 198 (13-14) ◽  
pp. 1126-1137 ◽  
Author(s):  
Matthias Baitsch ◽  
Dietrich Hartmann
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Piecewise Polynomial ◽  
Shape Functions ◽  
Hp Finite Element

Progress on adaptive hp-finite element methods for the incompressible Navier-Stokes equations

1993 ◽  
Vol 11 (5-6) ◽  
pp. 421-432 ◽  
Author(s):  
J. T. Oden ◽  
S. R. Kennon ◽  
W. W. Tworzydlo ◽  
J. M. Bass ◽  
C. Berry
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Hp Finite Element

SMOOTHED FINITE ELEMENT METHODS FOR THERMO-MECHANICAL IMPACT PROBLEMS

2013 ◽  
Vol 10 (01) ◽  
pp. 1340010 ◽  
Author(s):  
V. KUMAR
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Large Deformations ◽  
Physical Domain ◽  
Shape Functions ◽  
Mechanical Impact ◽  
Element Approach ◽  
Impact Problems ◽  
Isoparametric Mapping ◽  
Derivatives Of

We present a Smoothed Finite Element Methods (SFEM) for thermo-mechanical impact problems. The smoothing is applied to the strains and the standard finite element approach is used for the temperature field. The SFEM allows for highly accurate results and large deformations. No isoparametric mapping is needed; the shape functions are computed in the physical domain. Moreover, no derivatives of the shape functions must be computed. We implemented a visco-plastic constitutive model and validate the method by comparing numerical results to experimental data.

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