Advanced Finite Element Technologies by Jörg Schröder & Peter Wriggers

Author:Jörg Schröder & Peter Wriggers
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(21a)

(21b)

For the global problem, originally (10), continuity of fluxes is now only imposed along the internal faces, see (19). Hence, the global weak problem is: find for all such that

(22)

where the definition of the numerical flux, see (20), has already been used.

The discrete versions of these weak problem (21) and (22) are automatically determined as: for , find for all such that

(23a)

(23b)

and find for all such that

(24)

where, again, are directly functions of as determined by (23).

Finally, the following system of equations is obtained for the local problem, for each element ,

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