scholarly journals Comparison between results of solution of Burgers’ equation and Laplace’s equation by Galerkin and least-square finite element methods

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Arash Adib ◽  
Davood Poorveis ◽  
Farid Mehraban
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Burgers Equation ◽  
Least Square ◽  
Laplace’S Equation ◽  
Laplace's Equation

scholarly journals Overlapped Bem-Fem and Some Schwarz Iterations

2004 ◽  
Vol 4 (1) ◽  
pp. 3-22 ◽  
Author(s):  
Ricardo Celorrio ◽  
Victor Dominguez ◽  
Francisco-Javier Sayas
Keyword(s):  
Finite Element ◽  
Unbounded Domain ◽  
Numerical Experiments ◽  
Single Layer ◽  
Laplace’S Equation ◽  
Element Solution ◽  
Discrete Solution ◽  
Full Generality ◽  
Laplace's Equation ◽  
Layer Solution

AbstractIn this work we consider the numerical solution of the Laplace's equation in a domain with holes by means of the overlapping of finite and boundary elements. The essence of the method is the consideration of the finite element solution of the Laplace's equation in the domain without holes and the exterior single{layer solution on the unbounded domain around these holes. This solution can be viewed as a limit of a discretized interior{exterior Schwarz-type iteration. A convergence analysis of both the iteration and the discrete solution is carried out, taking full generality in the BEM scheme. Some numerical experiments are also given.

scholarly journals Echocardiographic particle imaging velocimetry data assimilation with least square finite element methods

2014 ◽  
Vol 68 (11) ◽  
pp. 1569-1580 ◽  
Author(s):  
Prathish K. Rajaraman ◽  
T.A. Manteuffel ◽  
M. Belohlavek ◽  
E. McMahon ◽  
Jeffrey J. Heys
Keyword(s):  
Finite Element ◽  
Data Assimilation ◽  
Finite Element Methods ◽  
Least Square ◽  
Particle Imaging Velocimetry ◽  
Particle Imaging
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