h- p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of stability theorem

2015 ◽  
Vol 125 (3) ◽  
pp. 413-447 ◽  
Author(s):  
P DUTT ◽  
AKHLAQ HUSAIN ◽  
A S VASUDEVA MURTHY ◽  
C S UPADHYAY
Keyword(s):  
Three Dimensional ◽  
Elliptic Problems ◽  
Spectral Element ◽  
Stability Theorem ◽  
Spectral Element Methods

h-p Spectral element methods for three dimensional elliptic problems on non-smooth domains

2014 ◽  
Vol 234 ◽  
pp. 13-35 ◽  
Author(s):  
P. Dutt ◽  
Akhlaq Husain ◽  
A.S. Vasudeva Murthy ◽  
C.S. Upadhyay
Keyword(s):  
Three Dimensional ◽  
Elliptic Problems ◽  
Spectral Element ◽  
Spectral Element Methods

Spectral element method for three dimensional elliptic problems with smooth interfaces

2017 ◽  
Vol 315 ◽  
pp. 522-549 ◽  
Author(s):  
Arbaz Khan ◽  
Akhlaq Husain ◽  
Subhashree Mohapatra ◽  
Chandra Shekhar Upadhyay
Keyword(s):  
Spectral Element Method ◽  
Three Dimensional ◽  
Elliptic Problems ◽  
Spectral Element ◽  
Element Method

scholarly journals Nonconforming h-p spectral element methods for elliptic problems

2007 ◽  
Vol 117 (1) ◽  
pp. 109-145 ◽  
Author(s):  
P K Dutt ◽  
N Kishore Kumar ◽  
C S Upadhyay
Keyword(s):  
Elliptic Problems ◽  
Spectral Element ◽  
Spectral Element Methods

Stability estimates for h-p spectral element methods for elliptic problems

2002 ◽  
Vol 112 (4) ◽  
pp. 601-639 ◽  
Author(s):  
Pravir Dutt ◽  
Satyendra Tomar ◽  
B. V. Rathish Kumar
Keyword(s):  
Elliptic Problems ◽  
Spectral Element ◽  
Stability Estimates ◽  
Spectral Element Methods

scholarly journals Wave Propagation Analysis in Composite Laminates Containing a Delamination Using a Three-Dimensional Spectral Element Method

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Fucai Li ◽  
Haikuo Peng ◽  
Xuewei Sun ◽  
Jinfu Wang ◽  
Guang Meng
Keyword(s):  
Wave Propagation ◽  
Lamb Wave ◽  
Composite Laminates ◽  
Composite Structures ◽  
Spectral Element Method ◽  
Three Dimensional ◽  
Spectral Element ◽  
Wave Mode ◽  
Diagonal Form ◽  
Element Method

A three-dimensional spectral element method (SEM) was developed for analysis of Lamb wave propagation in composite laminates containing a delamination. SEM is more efficient in simulating wave propagation in structures than conventional finite element method (FEM) because of its unique diagonal form of the mass matrix. Three types of composite laminates, namely, unidirectional-ply laminates, cross-ply laminates, and angle-ply laminates are modeled using three-dimensional spectral finite elements. Wave propagation characteristics in intact composite laminates are investigated, and the effectiveness of the method is validated by comparison of the simulation results with analytical solutions based on transfer matrix method. Different Lamb wave mode interactions with delamination are evaluated, and it is demonstrated that symmetric Lamb wave mode may be insensitive to delamination at certain interfaces of laminates while the antisymmetric mode is more suited for identification of delamination in composite structures.

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