An asymptotically induced domain decomposition method for parabolic boundary layer problems
Conference
·
OSTI ID:6676298
- California Univ., Davis, CA (USA). Dept. of Applied Science
- California State Univ., Hayward, CA (USA). Dept. of Mathematics and Computer Science
An iterative method for computing an approximation to the solution of the singularly perturbed elliptic partial differential equation ({partial derivative}u/{partial derivative}x) {minus} {var epsilon}{Delta}u = 0 is described. Smoothness of the boundary conditions are established that will enable the iterates to asymptotically approximate the parabolic boundary layers of the solution. A domain decomposition technique based around the results of the asymptotic analysis is developed to numerically solve the above differential equation when the boundary functions are discontinuous. Convergence results of the numerical scheme are established and a computational example is given. Divergence is computationally examined. 7 refs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- Sponsoring Organization:
- DOE/DP
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6676298
- Report Number(s):
- UCRL-JC-104001; CONF-9002131--1; ON: DE90014620
- Country of Publication:
- United States
- Language:
- English
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