scholarly journals M-Adapting Low Order Mimetic Finite Differences for Dielectric Interface Problems

2016 ◽  
Author(s):  
Duncan A. McGregor ◽  
Vitaliy Gyrya ◽  
Gianmarco Manzini
Keyword(s):  
Finite Differences ◽  
Interface Problems ◽  
Dielectric Interface ◽  
Mimetic Finite Differences ◽  
Low Order

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

Mimetic finite differences for nonlinear and control problems

2014 ◽  
Vol 24 (08) ◽  
pp. 1457-1493 ◽  
Author(s):  
P. F. Antonietti ◽  
L. Beirão da Veiga ◽  
N. Bigoni ◽  
M. Verani
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Finite Differences ◽  
Stokes Equations ◽  
Free Boundary Problems ◽  
Quasilinear Elliptic Equations ◽  
Control Problems ◽  
Mimetic Finite Difference Method ◽  
Mimetic Finite Differences

In this paper we review some recent applications of the mimetic finite difference method to nonlinear problems (variational inequalities and quasilinear elliptic equations) and optimal control problems governed by linear elliptic partial differential equations. Several numerical examples show the effectiveness of mimetic finite differences in building accurate numerical approximations. Finally, driven by a real-world industrial application (the numerical simulation of the extrusion process) we explore possible further applications of the mimetic finite difference method to nonlinear Stokes equations and shape optimization/free-boundary problems.

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 Mimetic finite differences for elliptic problems

2008 ◽  
Vol 43 (2) ◽  
pp. 277-295 ◽  
Author(s):  
Franco Brezzi ◽  
Annalisa Buffa ◽  
Konstantin Lipnikov
Keyword(s):  
Finite Differences ◽  
Elliptic Problems ◽  
Mimetic Finite Differences
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