mixed eigenvalue
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2021 ◽  
Vol 19 (2) ◽  
pp. 75-82
Author(s):  
Niranjan Bora

It was mainly due to Atkinson works, who introduced Linear Multiparameter Eigenvalue problems (LMEPs), based on determinantal operators on the Tensor Product Space. Later, in the area of Multiparameter eigenvalue problems has received attention from the Mathematicians in the recent years also, who pointed out that there exist a variety of mixed eigenvalue problems with several parameters in different scientific domains. This article aims to bring into a light variety of scientific problems that appear naturally as LMEPs. Of course, with all certainty, the list of collection of applications presented here are far from complete, and there are bound to be many more applications of which we are currently unaware. The paper may provide a review on applications of Multiparameter eigenvalue problems in different scientific domains and future possible applicatios both in theoretical and applied disciplines.



2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Fleurianne Bertrand ◽  
Daniele Boffi ◽  
Rui Ma

Abstract In this paper, we study the approximation of eigenvalues arising from the mixed Hellinger–Reissner elasticity problem by using a simple finite element introduced recently by one of the authors. We prove that the method converges when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom. A postprocessing technique originally proposed in a different context is discussed and tested numerically.





2015 ◽  
Vol 298 ◽  
pp. 1-28 ◽  
Author(s):  
Eldar Akhmetgaliyev ◽  
Oscar P. Bruno ◽  
Nilima Nigam


2013 ◽  
Vol 16 (1) ◽  
pp. 13002 ◽  
Author(s):  
Brics ◽  
Kaupuzs ◽  
Mahnke


2010 ◽  
Vol 17 (12) ◽  
pp. 1851-1861 ◽  
Author(s):  
Mohamed A Ramadan ◽  
Ehab A El-Sayed


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