An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods.
An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods.
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DOI：
10.4208/cicp.070211.150811s
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发表时间：
2012
影响因子：
3.7
通讯作者：
Song P
中科院分区：
文献类型：
--
作者：
Li Z;Song P
An adaptive mesh refinement strategy is proposed in this paper for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular sources. The interface is represented by the zero level set of a Lipschitz function φ(x,y). Our adaptive mesh refinement is done within a small tube of |φ(x,y)|≤ δ with finer Cartesian meshes. The discrete linear system of equations is solved by a multigrid solver. The AMR methods could obtain solutions with accuracy that is similar to those on a uniform fine grid by distributing the mesh more economically, therefore, reduce the size of the linear system of the equations. Numerical examples presented show the efficiency of the grid refinement strategy.
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影响因子：
4.1
作者：
Griffith, BE;Peskin, CS
通讯作者：
Peskin, CS
影响因子：
2.9
作者：
LEVEQUE, RJ;LI, ZL
通讯作者：
LI, ZL
影响因子：
4.1
作者：
MCQUEEN, DM;PESKIN, CS
通讯作者：
PESKIN, CS
影响因子：
4.1
作者：
PESKIN, CS;PRINTZ, BF
通讯作者：
PRINTZ, BF
影响因子：
4.1
作者：
Hou, TY;Li, ZL;Zhao, HK
通讯作者：
Zhao, HK