Accession Number:

ADA455373

Title:

Newton-Krylov-Schwarz Methods for Richards' Equation

Descriptive Note:

Corporate Author:

NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION

Personal Author(s):

• Jenkins, E. W.
• Berger, R. C.
• Hallberg, J. P.
• Howington, Stacy E.
• Kelley, C. T.
• Schmidt, Joseph H.
• Stagg, Alan
• Tocci, M. D.

Report Date:

1999-10-13

Pagination or Media Count:

12.0

Abstract:

This paper discusses the design and implementation of a Newton-Krylov-Schwarz solver for the implicit temporal integration on an unstructured three-dimensional spatial mesh of Richards equation for groundwater flow in unsaturated porous media. We use aggregation techniques from the algebraic multigrid literature to construct a coarse mesh for two-level Schwarz methods. Our coarse mesh differs from other constructions in that no coarse mesh geometry need be created and we do not need geometric information about the subdomains. We report on a computational example to illustrate the performance of the preconditioner.

Descriptors:

• *WATER FLOW
• *FINITE ELEMENT ANALYSIS
• *GROUND WATER
• SPATIAL DISTRIBUTION
• THREE DIMENSIONAL
• FINITE DIFFERENCE THEORY

Subject Categories:

• Hydrology, Limnology and Potamology
• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE