scholarly journals A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems

2012 ◽  
Vol 231 (16) ◽  
pp. 5469-5488 ◽  
Author(s):  
A.G.B. Cruz ◽  
E.G. Dutra do Carmo ◽  
F.P. Duda
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Fourth Order ◽  
Incompressible Flow ◽  
Flow Problems

A fully interior penalty discontinuous Galerkin method for variable density groundwater flow problems

2020 ◽  
Vol 213 ◽  
pp. 104744
Author(s):  
Ali Raeisi Isa-Abadi ◽  
Vincent Fontaine ◽  
Hamid-Reza Ghafouri ◽  
Anis Younes ◽  
Marwan Fahs
Keyword(s):  
Groundwater Flow ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Variable Density ◽  
Interior Penalty ◽  
Flow Problems

scholarly journals Discontinuous Galerkin Method for Material Flow Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Simone Göttlich ◽  
Patrick Schindler
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
Discontinuous Galerkin Method ◽  
Material Flow ◽  
Numerical Study ◽  
Hyperbolic Partial Differential Equations ◽  
Finite Volume Schemes ◽  
Flow Problems ◽  
Alternative Approach

For the simulation of material flow problems based on two-dimensional hyperbolic partial differential equations different numerical methods can be applied. Compared to the widely used finite volume schemes we present an alternative approach, namely, the discontinuous Galerkin method, and explain how this method works within this framework. An extended numerical study is carried out comparing the finite volume and the discontinuous Galerkin approach concerning the quality of solutions.

C0IPG for a Fourth Order Eigenvalue Problem

2016 ◽  
Vol 19 (2) ◽  
pp. 393-410 ◽  
Author(s):  
Xia Ji ◽  
Hongrui Geng ◽  
Jiguang Sun ◽  
Liwei Xu
Keyword(s):  
Eigenvalue Problem ◽  
Galerkin Method ◽  
Numerical Computation ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Fourth Order ◽  
Well Posedness ◽  
Numerical Examples ◽  
Fourth Order Eigenvalue Problem ◽  
Lagrange Elements

AbstractThis paper concerns numerical computation of a fourth order eigenvalue problem. We first show the well-posedness of the source problem. An interior penalty discontinuous Galerkin method (C0IPG) using Lagrange elements is proposed and its convergence is studied. The method is then used to compute the eigenvalues. We show that the method is spectrally correct and prove the optimal convergence. Numerical examples are presented to validate the theory.

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