From 639858476903da6c85e125e905862695f0a4f24a Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Sat, 16 Dec 2023 08:54:17 -0700 Subject: [PATCH] Minor update to the introduction of step-41. --- examples/step-41/doc/intro.dox | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/step-41/doc/intro.dox b/examples/step-41/doc/intro.dox index 5eb82e888a..ee3c69917a 100644 --- a/examples/step-41/doc/intro.dox +++ b/examples/step-41/doc/intro.dox @@ -54,9 +54,9 @@ The classical formulation of the problem possesses the following form: \sigma &= \nabla u & &\quad\text{in } \Omega,\\ u(\mathbf x) &= 0 & &\quad\text{on }\partial\Omega,\\ (-\Delta u - f)(u - g) &= 0 & &\quad\text{in } \Omega,\\ - u(\mathbf x) &\geq g(\mathbf x) & &\quad\text{in } \Omega + u(\mathbf x) &\geq g(\mathbf x) & &\quad\text{in } \Omega, @f} -with $u\in H^2(\Omega)$. $u$ is a scalar valued function that denotes the +where $u$ is a scalar valued function that denotes the vertical displacement of the membrane. The first equation is called equilibrium condition with a force of areal density $f$. Here, we will consider this force to be gravity. The second one is known as Hooke's Law that says that the stresses -- 2.39.5