On the convergence and error of the bubnov-galerkin method

1974 ◽  
pp. 434-450 ◽  
Author(s):  
Frank Stenger
Keyword(s):  
Galerkin Method

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

2013 ◽  
Vol 44 (3) ◽  
pp. 327-354
Author(s):  
Aleksey Igorevich Troshin ◽  
Vladimir Viktorovich Vlasenko ◽  
Andrey Viktorovich Wolkov
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Selection Of

Application of an Element-free Galerkin Method to Water Wave Propagation Problems

2014 ◽  
Vol 60 (1-4) ◽  
pp. 87-105 ◽  
Author(s):  
Ryszard Staroszczyk
Keyword(s):  
Wave Propagation ◽  
Galerkin Method ◽  
Present Model ◽  
Free Surface Elevation ◽  
Element Free Galerkin Method ◽  
Plane Flow ◽  
Element Free Galerkin ◽  
Proposed Model ◽  
Sloping Bed ◽  
Element Free

Abstract The paper is concerned with the problem of gravitational wave propagation in water of variable depth. The problem is solved numerically by applying an element-free Galerkin method. First, the proposed model is validated by comparing its predictions with experimental data for the plane flow in water of uniform depth. Then, as illustrations, results of numerical simulations performed for plane gravity waves propagating through a region with a sloping bed are presented. These results show the evolution of the free-surface elevation, displaying progressive steepening of the wave over the sloping bed, followed by its attenuation in a region of uniform depth. In addition, some of the results of the present model are compared with those obtained earlier by using the conventional finite element method.

Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number

2017 ◽  
Author(s):  
Francisco Augusto Aparecido Gomes ◽  
Paulo Rogério Novak ◽  
Aureo Quintas Garcia ◽  
Mildred Ballin Hecke ◽  
Fernando José da Silva
Keyword(s):  
Reynolds Number ◽  
Fluid Flow ◽  
Incompressible Fluid ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Low Reynolds Number ◽  
Incompressible Fluid Flow ◽  
Flow Simulations ◽  
Low Reynolds
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