finite difference finite element and boundary integral equation methods have limitations when the solution has the singularity on the boundary which is due to either a reentrant corner or to an abrupt change of boundary condition.
They also described how the approximation may be post-processed in the neighbourhood of a reentrant corner singularity in order to obtain an improved and more rapidly converging representation.
This example presents an analysis of the waveguide containing boundary singularities such as a reentrant corner
in a L-shaped waveguide.
2] away from the reentrant corners of [omega], and at the reentrant corner [c.
Suppose only one of the vertex of T is a reentrant corner [c.
For example, a surface flaw may propagate into the reentrant corner of a reactor pressure vessel's primary coolant pipe during severe thermal shock conditions when there is a loss of coolant within the pressure vessel.
Merkle at Oak Ridge performed a series of three-dimensional stress freezing photoelastic simulation tests of the reentrant corner surface flaw.
In case of a solution with singularities, an appropriate grading of the mesh around the reentrant corner
leads to the same convergence order of the semidiscretization (in space) and of the fully discrete method as in case of a regular solution.
A noteworthy aspect of this method is its use of singular (Fourier-Bessel) functions in the expansion to incorporate, for example, reentrant corners
However, problems with non-convex boundaries (useful for scatters with reentrant corners
in order to minimize the number of unknowns) does not follow the convergence behavior described above.
Good coverage also avoids reentrant corners
such as recessed doorways in corridors where an inmate can hide.
The high interfacial energy between inclusions and molten aluminum causes reentrant corners
to collect H from the melt as [H.