A fourth order accurate adaptive mesh refinement method forpoisson's equation

Journal Article · Fri Aug 20 00:00:00 EDT 2004 · Journal of Computational Physics

OSTI ID:886965

Barad, Michael; Colella, Phillip

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: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• 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: DE-AC02-05CH11231
• OSTI ID: 886965
• Report Number(s): LBNL-56190; JCTPAH; R&D Project: 619501; BnR: KJ0101010; TRN: US200617%%407
• Journal Information: Journal of Computational Physics, Vol. 209, Issue 1; Related Information: Journal Publication Date: 10/10/2005; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BOUNDARY CONDITIONS
DIMENSIONS
LAWRENCE BERKELEY LABORATORY