- #1
Jeffrey Yang
- 39
- 0
As required by the Green's identity, the integrated function has to be smooth and continuous in the integration region Ω.
How about if the function is just discontinuous at the boundary?
For example, I intend to make a volume integration of a product of electric fields, the field function is well-behaved in the volume but discontinue at the boundary (for the normal component of the field) due to a difference of permitivity occurs.
In this case, can I still use the Green's first identity?
If I can, what kind of surface divergence I should use at the boundary?
Thanks for your help
How about if the function is just discontinuous at the boundary?
For example, I intend to make a volume integration of a product of electric fields, the field function is well-behaved in the volume but discontinue at the boundary (for the normal component of the field) due to a difference of permitivity occurs.
In this case, can I still use the Green's first identity?
If I can, what kind of surface divergence I should use at the boundary?
Thanks for your help