Digitale Medien
Chichester
:
Wiley-Blackwell
International Journal for Numerical Methods in Fluids
8 (1988), S. 933-942
ISSN:
0271-2091
Schlagwort(e):
Least squares
;
Finite elements
;
Non-linear
;
Hyperbolic
;
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Maschinenbau
Notizen:
A class of stable least-square finite element methods for non-linear hyperbolic problems is developed and some exploratory studies made. The methods are based on modifying the L2-norm of the. residual and a related approximation to the H1-norm of the residual. The effect of the additional terms in these residual functionals is to introduce a dissipative effect proportional to the solution gradient. This acts to stabilize the solution for non-linear hyperbolic problems which generate shocks. Numerical results for a one-dimensional nozzle and shock tube problem demonstrate the accuracy and stability of the method. Results are for an implicit scheme and calculations for linear, quadratic and cubic elements are given.
Zusätzliches Material:
6 Ill.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/fld.1650080805
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