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Mesh refinement and local inversion of elliptic partial differential equations

Journal Article · · J. Comput. Phys.; (United States)

A fast numerical method is developed to find an approximate solution to a general class of mildly nonlinear elliptic partial differential equations with Dirichlet boundary conditions in one, two, and three dimensions. The method is based on a local mesh refinement technique which provides an initial guess for iterative algorithms, and can be used to refine the mesh in multigrid methods.

Research Organization:
Theoretical Division, University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545
OSTI ID:
7100087
Journal Information:
J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 23:2; ISSN JCTPA
Country of Publication:
United States
Language:
English