A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes-Reference-Cited by-同舟云学术

A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes

Published:2018-02 Issue: Volume:355 Page:59-77
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Raeli Alice,Bergmann Michel,Iollo Angelo

Funder

Bordeaux INP

LABRI

IMB

Conseil Régional d'Aquitaine

Université de Bordeaux

CNRS

ANR

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference17 articles.

1. A penalization method to take into account obstacles in incompressible viscous flows;Angot;Numer. Math.,1999

2. Algorithms and data structures for massively parallel generic adaptive finite element codes;Bangerth;ACM Trans. Math. Softw.,2011

3. p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees;Burstedde;SIAM J. Sci. Comput.,2011

4. Boundary layer for a penalization method for viscous incompressible flow;Carbou;Adv. Differ. Equ.,2003

5. Level-set, penalization and cartesian meshes: a paradigm for inverse problems and optimal design;Chantalat;J. Comput. Phys.,2009

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