Solving nonlinear heat conduction problems with multigrid preconditioned Newton-Krylov methods

Conference · Mon Sep 01 00:00:00 EDT 1997

OSTI ID:522747

Rider, W J; Knoll, D A

Our objective is to investigate the utility of employing multigrid preconditioned Newton-Krylov methods for solving initial value problems. Multigrid based method promise better performance from the linear scaling associated with them. Our model problem is nonlinear heat conduction which can model idealized Marshak waves. Here we will investigate the efficiency of using a linear multigrid method to precondition a Krylov subspace method. In effect we will show that a fixed point nonlinear iterative method provides an effective preconditioner for the nonlinear problem.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: USDOE Assistant Secretary for Human Resources and Administration, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 522747
• Report Number(s): LA-UR--97-2929; CONF-970717--1; ON: DE97008319
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
CONVERGENCE
NEWTON METHOD
NONLINEAR PROBLEMS
PERFORMANCE
THERMAL CONDUCTION