Newton-Krylov-Schwarz Methods for Richards' Equation

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.

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Document Details

Document Type
Technical Report
Publication Date
Oct 13, 1999
Accession Number
ADA455373

Entities

People

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

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Additives (Chemicals)
  • Barometric Pressure
  • Boundaries
  • Computational Fluid Dynamics
  • Computations
  • Differential Equations
  • Equations
  • Errors
  • Flow
  • Fluid Dynamics
  • Geometry
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Simulations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)