High-order mimetic finite differences for anisotropic elliptic equations

2020 ◽  
Vol 213 ◽  
pp. 104746
Author(s):  
Angel Boada ◽  
Christopher Paolini ◽  
Jose E. Castillo
Keyword(s):  
Finite Differences ◽  
Elliptic Equations ◽  
High Order ◽  
Mimetic Finite Differences ◽  
Anisotropic Elliptic Equations

scholarly journals Modelling of rupture propagation using high-order mimetic finite differences

2008 ◽  
Vol 172 (2) ◽  
pp. 631-650 ◽  
Author(s):  
Otilio Rojas ◽  
Steven Day ◽  
Jose Castillo ◽  
Luis A. Dalguer
Keyword(s):  
Finite Differences ◽  
High Order ◽  
Rupture Propagation ◽  
Mimetic Finite Differences

scholarly journals The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences

2014 ◽  
Vol 270 ◽  
pp. 308-322 ◽  
Author(s):  
Eduardo J. Sanchez ◽  
Christopher P. Paolini ◽  
Jose E. Castillo
Keyword(s):  
Finite Differences ◽  
Object Oriented ◽  
Mimetic Finite Differences

High-Order, Fast-Direct Methods for Separable Elliptic Equations

1984 ◽  
Vol 21 (4) ◽  
pp. 672-694 ◽  
Author(s):  
Linda Kaufman ◽  
Daniel D. Warner
Keyword(s):  
Elliptic Equations ◽  
Direct Methods ◽  
High Order

scholarly journals Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data

2021 ◽  
Vol 7 (2) ◽  
pp. 277-298
Author(s):  
Mostafa El Moumni ◽  
Deval Sidi Mohamed
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Variable Exponents ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic ◽  
Anisotropic Elliptic Equations

Abstract We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

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