3 posts tagged with "dirichletBC"

Introduction​

To apply boundary condition in FEM computation, EASIFEM, provides a class called DirichletBC_.

To understand how DirichletBC works, lets consider an example of linear elasticity. Let's say we want to apply the following boundary condition.

We may think that there is only one boundary condition. But in easifem this is not the case. Actually, $\mathbf{u}$, has three components in 3D (and two components in 2D). Therefore, the above boundary condition is actually boundary condition for $u_x$, $u_y$, and $u_z$. So, we have three boundary condition on a given boundary $\Gamma$.

Introduction​

In this example, Dirichlet boundary conditions is given by a user defined function.

Mesh and degrees of freedom​

Introduction​

To apply boundary condition in FEM computation, EASIFEM, provides a class called DirichletBC_.

To understand how DirichletBC works, lets consider an example of linear elasticity. Let's say we want to apply the following boundary condition.

We may think that there is only one boundary condition. But in easifem this is not the case. Actually, $\mathbf{u}$, has three components in 3D (and two components in 2D). Therefore, the above boundary condition is actually boundary condition for $u_x$, $u_y$, and $u_z$. So, we have three boundary condition on a given boundary $\Gamma$.