A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction

2010 ◽  
pp. 141-152 ◽  
Author(s):  
Yanlai Chen ◽  
Jan S. Hesthaven ◽  
Yvon Maday
Keyword(s):  
Reduced Basis ◽  
Basis Element ◽  
Element Method

scholarly journals A reduced basis element method for the steady Stokes problem

2006 ◽  
Vol 40 (3) ◽  
pp. 529-552 ◽  
Author(s):  
Alf Emil Løvgren ◽  
Yvon Maday ◽  
Einar M. Rønquist
Keyword(s):  
Stokes Problem ◽  
Reduced Basis ◽  
Basis Element ◽  
Element Method

scholarly journals Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)

2018 ◽  
Vol 63 ◽  
pp. 208-227
Author(s):  
Rachida Chakir ◽  
Charles Dapogny ◽  
Caroline Japhet ◽  
Yvon Maday ◽  
Jean-Baptiste Montavon ◽  
...  
Keyword(s):  
Reduced Basis ◽  
Component Method ◽  
Basis Element ◽  
Reduced Basis Methods ◽  
Element Method

The aim of this paper is to develop some techniques for automation of the mappings (between working and reference domains) required by reduced basis methods: the development of geometry mappings is indeed often a substantial impediment to the implementation of reduced basis techniques, especially in the context of the reduced basis element method (RBEM) and the reduced basis component method (RBCM). In the RBCM context, the geometry mappings are applied at the level of components. The methods have been tested on various cases to understand the limits of the approach and try to foresee and overcome the possible failures.

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