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Tutorial3 and 1 fix (#67)

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This commit is contained in:
Dario Coscia
2023-01-03 10:22:24 +01:00
committed by GitHub
parent 53cbf3f22c
commit 9347e79287
4 changed files with 8 additions and 9 deletions
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11
docs/source/_rst/tutorial1/tutorial.rst
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@@ -82,12 +82,11 @@ time domain where we want the solution.
Summarizing, in PINA we can initialize a problem with a class which is
inherited from three base classes: ``SpatialProblem``,
``TimeDependentProblem``, ``ParametricProblem``, depending on the type
of problem we are considering. For reference: \* ``SpatialProblem``
:math:`\rightarrow` spatial variable(s) presented in the differential
equation \* ``TimeDependentProblem`` :math:`\rightarrow` time
variable(s) presented in the differential equation \*
``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the
differential equation
of problem we are considering. For reference:
* ``SpatialProblem`` :math:`\rightarrow` spatial variable(s) presented in the differential equation
* ``TimeDependentProblem`` :math:`\rightarrow` time variable(s) presented in the differential equation
* ``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the differential equation
Write the problem class
~~~~~~~~~~~~~~~~~~~~~~~

2
docs/source/_rst/tutorial3/tutorial.rst
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@@ -13,7 +13,7 @@ The problem is written in the following form:
:raw-latex:`\begin{equation}
\begin{cases}
\Delta u(x,y,t) = \frac{\partial^2}{\partial t^2} u(x,y,t) \quad \text{in } D, \\\\
u(x, y, t=0) = \sin(\pi x)\sin(\pi y)\cos(\sqrt{2}\pi), \\\\
u(x, y, t=0) = \sin(\pi x)\sin(\pi y), \\\\
u(x, y, t) = 0 \quad \text{on } \Gamma_1 \cup \Gamma_2 \cup \Gamma_3 \cup \Gamma_4,
\end{cases}
\end{equation}`