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Posted:
5 years ago
15.11.2019, 07:34 GMT-5
What is the dweak form?
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ZHANG, Pu
School of Physics,
Huazhong University of Science and Technology
What is the dweak form?
Eric Favre
COMSOL Employee
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Posted:
5 years ago
16.11.2019, 13:28 GMT-5
Updated:
5 years ago
16.11.2019, 13:28 GMT-5
Hello,
You are right, the "dweak" term was in the past used for entering the time derivative of the unknown for time-dependent problem (there is no mathematical "dweak form", only a "weak form").
The time derivative expression can actually be entered in the "weak" term : COMSOL will detect the time derivative automatically.
So for instance a time-dependent Poisson equation with source = 1 on a 1D segment along direction x reads :
weak = ux * test(ux) - 1 * test(u) - d(u,t) * test(u)
d(u,t) is the time derivative.
you need to add boundary conditions of course.
"weak" means : integration over the selected domain (or the boundary, depending where you write the equation).
The order of the terms does not matter.
So whatever was written in the "dweak" term in old versions, you can enter it in the "weak" term without any problem.
You can find more advanced details in the documentation.
Eric Favre
COMSOL France
-------------------
Eric Favre
COMSOL France
Hello,
You are right, the "dweak" term was in the past used for entering the time derivative of the unknown for time-dependent problem (there is no mathematical "dweak form", only a "weak form").
The time derivative expression can actually be entered in the "weak" term : COMSOL will detect the time derivative automatically.
So for instance a time-dependent Poisson equation with source = 1 on a 1D segment along direction x reads :
weak = ux * test(ux) - 1 * test(u) - d(u,t) * test(u)
d(u,t) is the time derivative.
you need to add boundary conditions of course.
"weak" means : integration over the selected domain (or the boundary, depending where you write the equation).
The order of the terms does not matter.
So whatever was written in the "dweak" term in old versions, you can enter it in the "weak" term without any problem.
You can find more advanced details in the documentation.
Eric Favre
COMSOL France