Splitting-methods based on Approximate Matrix Factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs

2016 ◽  
Vol 104 ◽  
pp. 166-181 ◽  
Author(s):  
S. González-Pinto ◽  
D. Hernández-Abreu
Keyword(s):  
Matrix Factorization ◽  
Time Integration ◽  
Splitting Methods ◽  
Diffusion Reaction ◽  
Advection Diffusion ◽  
Approximate Matrix Factorization

scholarly journals A Finite Volume-Complete Flux Scheme for a Polluted Groundwater Site

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
M. F. P. ten Eikelder ◽  
J. H. M. ten Thije Boonkkamp ◽  
M. P. T. Moonen ◽  
B. V. Rathish Kumar
Keyword(s):  
Time Integration ◽  
Stability Result ◽  
Coupled System ◽  
Diffusion Reaction ◽  
Advection Diffusion ◽  
Guarani Aquifer ◽  
Space Discretization ◽  
Reaction Equations ◽  
Advection Diffusion Reaction Equations ◽  
Good Agreement

We present a model of a polluted groundwater site. The model consists of a coupled system of advection-diffusion-reaction equations for the groundwater level and the concentration of the pollutant. We use the complete flux scheme for the space discretization in combination with the ϑ-method for time integration and we prove a new stability result for the scheme. Numerical results are computed for the Guarani Aquifer in South America and they show good agreement with results in literature.

A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.

2016 ◽  
Vol 274 ◽  
pp. 565-584 ◽  
Author(s):  
S. González-Pinto ◽  
D. Hernández-Abreu ◽  
S. Pérez-Rodríguez ◽  
R. Weiner
Keyword(s):  
Time Integration ◽  
Diffusion Reaction ◽  
Third Order ◽  
Advection Diffusion
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