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#181 P1 shape functions for pyramid are buggy

Metadata

Property Value
Reported by Oliver Sander (oliver.sander@tu-dresden.de)
Reported at Oct 9, 2006 08:32
Type Bug Report
Version Git (pre2.4) [autotools]
Operating System Unspecified / All
Last edited by Oliver Sander (oliver.sander@tu-dresden.de)
Last edited at Sep 23, 2008 17:37
Closed by Oliver Sander (oliver.sander@tu-dresden.de)
Closed at Sep 23, 2008 17:37
Closed in version Unknown
Resolution Not a bug
Comment This is not a bug. The shape functions really are not differentiable everywhere.

Description

The first-order shape functions 0-3 for the pyramid have buggy first derivatives, as witnessed by the unit test 'lagrangeshapefunctiontest':

Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 0 at position 0 0 1: derivative in direction 0 is 0, but -0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 0 at position 0 0 1: derivative in direction 1 is -1, but -0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 1 at position 0 0 1: derivative in direction 0 is 0, but 0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 1 at position 0 0 1: derivative in direction 1 is -0, but -0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 2 at position 0 0 1: derivative in direction 0 is 1, but 0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 2 at position 0 0 1: derivative in direction 1 is 0, but 0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 3 at position 0 0 1: derivative in direction 0 is -1, but -0.5 is expected. Bug in shape function of order 1 for pyramid. Shape function derivative does not agree with FD approximation Shape function 3 at position 0 0 1: derivative in direction 1 is 1, but 0.5 is expected.