to something more interesting.
In the default scenario, $\Gamma$ has co-dimension one, and this tutorial
-program implements the Fictitious Boundary Method. As it turns out, the same
+program implements the Fictitious %Boundary Method. As it turns out, the same
techniques are used in the Variational Immersed Finite Element Method, and
the coupling operator $C$ defined above is the same in almost all of these
non-matching methods.
International Journal of Multiphase Flow 25 (5). Pergamon: 755–94.
- Boffi, D., L. Gastaldi, L. Heltai, and C.S. Peskin. 2008. “On the
- Hyper-Elastic Formulation of the Immersed Boundary Method.” Computer Methods
+ Hyper-Elastic Formulation of the Immersed %Boundary Method.” Computer Methods
in Applied Mechanics and Engineering 197 (25–28).
- Heltai, L., and F. Costanzo. 2012. “Variational Implementation of Immersed
So $S$ is some sort of Neumann to Dirichlet map, and we would like to have a
good approximation for the Dirichlet to Neumann map. A possibility would be to
-use a Boundary Element approximation of the problem on $\Gamma$, and construct a
+use a %Boundary Element approximation of the problem on $\Gamma$, and construct a
rough approximation of the hyper-singular operator for the Poisson problem
associated to $\Gamma$, which is precisely a Dirichlet to Neumann map.