Don't suppress the wiggles - they're telling you something
The subject of oscillatory solutions (wiggles), which sometimes result when the conventional Galerkin finite element method is employed to approximate the solution of certain partial differential equations, is addressed. It is argued that there is an important message behind these wiggles and that the appropriate response to it involves a combination of reexamination of the imposed boundary conditions, judicious mesh refinement (via isoparametric elements) in critical areas, and sometimes even admitting that the problem, as posed, is just too difficult to solve adequately on an affordable mesh. It is further argued that it is usually an inappropriate response to develop methods which a priori suppress these wiggles and thereby lead to claims that these unconventional FEM techniques are actually improvements and can be used to solve difficult problems on coarse meshes. 9 figures.
- Research Organization:
- California Univ., Livermore (USA). Lawrence Livermore Lab.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5603843
- Report Number(s):
- UCRL-82979; CONF-791205-12; TRN: 80-002275
- Resource Relation:
- Conference: ASME winter annual meeting, New York, NY, USA, 2 Dec 1979
- Country of Publication:
- United States
- Language:
- English
Similar Records
Another attempt to overcome the bent element blues
Two dimensional finite element model for LR55 track system
Related Subjects
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
FLUID MECHANICS
COMPUTER CALCULATIONS
HEAT TRANSFER
DIFFUSION
FINITE ELEMENT METHOD
GALERKIN-PETROV METHOD
GRAPHS
ONE-DIMENSIONAL CALCULATIONS
QUADRATURES
THEORETICAL DATA
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
DATA
DATA FORMS
ENERGY TRANSFER
EQUATIONS
INFORMATION
ITERATIVE METHODS
MECHANICS
NUMERICAL DATA
658000* - Mathematical Physics- (-1987)