Numerical method for solving elliptic boundary value problems in unbounded domains
Conference
·
OSTI ID:5292562
A numerical method for solving elliptic boundary value problems in unbounded domains is described. An artificial boundary near infinity, say a sphere GAMMA/sub R/ of large radius R, and an approximate local boundary condition on GAMMA/sub R/ are introduced. A finite element method is then employed to discretize this approximate problem. Since R must be large in order to estimate the error due to the artificial boundary, the resulting system of linear equations is usually quite large. A description is given on how to reduce the number of linear equations to the asymptotically optimal amount, while optimal error estimates and the sparseness of the matrix are preserved, by grading the mesh systematically in such a way that the element mesh sizes are increased as the distance from the origin increases. Some numerical results are given. 1 table. (RWR)
- Research Organization:
- Brookhaven National Lab., Upton, NY (USA)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5292562
- Report Number(s):
- BNL-28138; CONF-800699-1
- Country of Publication:
- United States
- Language:
- English
Similar Records
Multigrid methods for elliptical problems in unbounded domains
Finite element method with nonuniform mesh sizes for unbounded domains
Finite element method for solving Helmholtz type equations in waveguides and other unbounded domains
Journal Article
·
Sun Jan 31 23:00:00 EST 1993
· SIAM Journal on Numerical Analysis (Society for Industrial and Applied Mathematics); (United States)
·
OSTI ID:6421153
Finite element method with nonuniform mesh sizes for unbounded domains
Journal Article
·
Tue Mar 31 23:00:00 EST 1981
· Math. Comput.; (United States)
·
OSTI ID:6350258
Finite element method for solving Helmholtz type equations in waveguides and other unbounded domains
Journal Article
·
Fri Oct 01 00:00:00 EDT 1982
· Math. Comput.; (United States)
·
OSTI ID:6788525