The solution of a parabolic partial differential equation via domain decomposition: The synthesis of asymptotic and numerical analysis

Technical Report · Wed Jun 01 00:00:00 EDT 1988

OSTI ID:6764169

Scroggs, J S

A parallel algorithm for the efficient solution of a time dependent reaction convection diffusion equation with small parameter on the diffusion term will be presented. The method is based on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions were certain reduced equations may be solved in place of the full equation. Parallelism is evident at two levels. Domain decomposition provides parallelism at the highest level, and within each domain there is ample opportunity to exploit parallelism. Run-time results demonstrate the viability of the method. 66 refs., 31 figs., 4 tabs.

• Research Organization: Argonne National Lab., IL (USA)
• DOE Contract Number: W-31109-ENG-38; W-7405-ENG-48; FG02-85ER25001
• OSTI ID: 6764169
• Report Number(s): ANL/MCS-TM-123; ON: DE88016889
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
ASYMPTOTIC SOLUTIONS
BOUNDARY LAYERS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
LAYERS
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING