A VEM-Based Positivity-Preserving Conservative Scheme For  Anisotropic  Diffusion Problems on Generalized Polyhedral Meshes

2021 ◽  
Author(s):  
Di Yang ◽  
Zhi-Ming Gao ◽  
Meihua Sheng ◽  
Guoxi Ni
Keyword(s):  
Positivity Preserving ◽  
Conservative Scheme ◽  
Polyhedral Meshes ◽  
Diffusion Problems

A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

2005 ◽  
Vol 15 (10) ◽  
pp. 1533-1551 ◽  
Author(s):  
FRANCO BREZZI ◽  
KONSTANTIN LIPNIKOV ◽  
VALERIA SIMONCINI
Keyword(s):  
Finite Difference ◽  
Material Properties ◽  
Numerical Experiments ◽  
Finite Difference Methods ◽  
Polyhedral Meshes ◽  
Discretization Schemes ◽  
Difference Methods ◽  
Theoretical Results ◽  
Diffusion Problems

A family of inexpensive discretization schemes for diffusion problems on unstructured polygonal and polyhedral meshes is introduced. The material properties are described by a full tensor. The theoretical results are confirmed with numerical experiments.

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