scholarly journals Mortar spectral element discretization of the stokes problem in axisymmetric domains

2013 ◽  
Vol 30 (1) ◽  
pp. 44-73 ◽  
Author(s):  
Saloua Mani Aouadi ◽  
Christine Bernardi ◽  
Jamil Satouri
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretization

scholarly journals A penalty algorithm for the spectral element discretization of the Stokes problem

2010 ◽  
Vol 45 (2) ◽  
pp. 201-216 ◽  
Author(s):  
Christine Bernardi ◽  
Adel Blouza ◽  
Nejmeddine Chorfi ◽  
Nizar Kharrat
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretization ◽  
Penalty Algorithm

scholarly journals Spectral element discretization of the vorticity, velocity and pressure formulation of the Navier–Stokes problem

CALCOLO ◽  
2007 ◽  
Vol 44 (3) ◽  
pp. 165-188 ◽  
Author(s):  
K. Amoura ◽  
M. Azaïez ◽  
C. Bernardi ◽  
N. Chorfi ◽  
S. Saadi
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Navier Stokes ◽  
Element Discretization ◽  
Pressure Formulation

Inf-sup conditions for the mortar spectral element discretization of the Stokes problem

2000 ◽  
Vol 85 (2) ◽  
pp. 257-281 ◽  
Author(s):  
F. Ben Belgacem ◽  
C. Bernardi ◽  
N. Chorfi ◽  
Y. Maday
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretization

A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems

2018 ◽  
Vol 16 (01) ◽  
pp. 1850093 ◽  
Author(s):  
Chaoxu Pei ◽  
Mark Sussman ◽  
M. Yousuff Hussaini
Keyword(s):  
Discontinuous Galerkin ◽  
Spectral Element Method ◽  
Burgers Equation ◽  
Spectral Element ◽  
Space Time ◽  
Picard Iteration ◽  
Spectral Accuracy ◽  
Element Discretization ◽  
Space And Time ◽  
Element Method

A space-time discontinuous Galerkin spectral element method is combined with two different approaches for treating problems with discontinuous solutions: (i) adding a space-time dependent artificial viscosity, and (ii) tracking the discontinuity with space-time spectral accuracy. A Picard iteration method is employed to solve nonlinear system of equations derived from the space-time DG spectral element discretization. Spectral accuracy in both space and time is demonstrated for the Burgers’ equation with a smooth solution. For tests with discontinuities, the present space-time method enables better accuracy at capturing the shock strength in the element containing shock when higher order polynomials in both space and time are used. The spectral accuracy of the shock speed and location is demonstrated for the solution of the inviscid Burgers’ equation obtained by the tracking method.

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