Preface of the “Symposium on multiscale methods and their application to the problems arising in complex system’s modeling”

2012 ◽  
Author(s):  
Eugene B. Postnikov
Keyword(s):  
1998 ◽  
Author(s):  
K. Eom ◽  
M. Wellman ◽  
N. Srour ◽  
D. Hillis ◽  
R. Chellappa

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Konrad Simon ◽  
Jörn Behrens

AbstractWe introduce a new framework of numerical multiscale methods for advection-dominated problems motivated by climate sciences. Current numerical multiscale methods (MsFEM) work well on stationary elliptic problems but have difficulties when the model involves dominant lower order terms. Our idea to overcome the associated difficulties is a semi-Lagrangian based reconstruction of subgrid variability into a multiscale basis by solving many local inverse problems. Globally the method looks like a Eulerian method with multiscale stabilized basis. We show example runs in one and two dimensions and a comparison to standard methods to support our ideas and discuss possible extensions to other types of Galerkin methods, higher dimensions and nonlinear problems.


Materials ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 2794
Author(s):  
Damian Gogolewski ◽  
Tomasz Bartkowiak ◽  
Tomasz Kozior ◽  
Paweł Zmarzły

The paper presents the results of tests aimed at evaluating the surface textures of samples manufactured from material based on 316L stainless steel. The analysis of the surface topography was conducted based on the classical approach in accordance with the current standard and with the use of multiscale methods; i.e., wavelet transformation and geometric via curvature. Selective laser melting 3D printing technology was used to produce samples for surface testing. Furthermore, additional assessment of surfaces created as result of milling was conducted. Statistical research demonstrated a differentiation in the distribution of particular morphological features in certain ranges of the analyzed scales.


2014 ◽  
Vol 54 (6) ◽  
pp. 1461-1476 ◽  
Author(s):  
Kenji Takizawa ◽  
Tayfun E. Tezduyar ◽  
Ryan Kolesar ◽  
Cody Boswell ◽  
Taro Kanai ◽  
...  

2002 ◽  
Author(s):  
Philippe Querre ◽  
Jean-Luc Starck ◽  
Vicent J. Martinez

2019 ◽  
Vol 778 ◽  
pp. 427-438 ◽  
Author(s):  
Ruiling Jia ◽  
Shuang Yu ◽  
Dan Li ◽  
Tao Zhang ◽  
Fuhui Wang ◽  
...  

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