A fourth order accurate adaptive mesh refinement method forpoisson's equation
Journal Article
·
· Journal of Computational Physics
OSTI ID:886965
We present a block-structured adaptive mesh refinement (AMR) method for computing solutions to Poisson's equation in two and three dimensions. It is based on a conservative, finite-volume formulation of the classical Mehrstellen methods. This is combined with finite volume AMR discretizations to obtain a method that is fourth-order accurate in solution error, and with easily verifiable solvability conditions for Neumann and periodic boundary conditions.
- Research Organization:
- Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
- Sponsoring Organization:
- USDOE Director. Office of Science. Office of AdvancedScientific Computing Research, Office of Mathematical Information andComputational Sciences. Applied Mathematics Program, ComputationalScience Graduate Fellowship under Contract DE-FG02-97ER25308
- DOE Contract Number:
- AC02-05CH11231
- OSTI ID:
- 886965
- Report Number(s):
- LBNL--56190; BnR: KJ0101010
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 209; ISSN 0021-9991; ISSN JCTPAH
- Country of Publication:
- United States
- Language:
- English
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