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Remove incorrect statements about initial conditions (#601)
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KnutAM committed Feb 23, 2023
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Showing 1 changed file with 1 addition and 14 deletions.
15 changes: 1 addition & 14 deletions docs/src/manual/boundary_conditions.md
Original file line number Diff line number Diff line change
Expand Up @@ -272,17 +272,4 @@ u = zeros(ndofs(dh))
apply_analytical!(u, dh, :p, x -> ρ * g * x[2])
```

See also [Time Dependent Problems](@ref) for one example.

*Note about solving DAE:*
A Differential Algebraic Equations (DAE) is an equation of the form
``\boldsymbol{r}(\boldsymbol{u}(t),\boldsymbol{u}'(t),t)=\boldsymbol{0}``,
which usually cannot be expressed as a true ODE. They occur often,
but not always, in forms where some time derivatives are missing
```math
u_1'(t) = f(\boldsymbol{u}(t),t)
0 = g(\boldsymbol{u}(t),t)`
```
In for such equations, it is usually necessary to specify initial conditions
for both ``\boldsymbol{u}(0)`` and ``\boldsymbol{u}'(0)``, and these must be consistent,
i.e. ``\boldsymbol{r}(\boldsymbol{u}(0),\boldsymbol{u}'(0),0)=\boldsymbol{0}``.
See also [Time Dependent Problems](@ref) for one example.

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