A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains

Author:

Colnago Marilaine,Casaca WallaceORCID,de Souza Leandro Franco

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

Elsevier BV

Subject

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

Reference41 articles.

1. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources;Leveque;SIAM J. Numer. Anal.,1994

2. A boundary condition capturing method for Poisson's equation on irregular domains;Liu;J. Comput. Phys.,2000

3. The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions;Wiegmann;SIAM J. Numer. Anal.,2000

4. The Immersed Interface Method: Numerical Solutions of PDEs Involving Interface and Irregular Domains;Li,2006

5. A new high-order immersed interface method for multi-phase flow simulation;Zhong,2006

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