Correction methods
This tutorial is still a work in progress. We will update it with more details and examples in the future.
- Overview of the correction methods available in Inti.jl
- Details and limitations of the various correction methods
- Guideline on how to choose a correction method
When the underlying kernel is singular, a correction is usually necessary in order to obtain accurate results in the approximation of the underlying integral operator by a quadrature. At present, Inti.jl provides the following functions to correct for singularities:
They have different strengths and weaknesses, and we will discuss them in the following sections.
Note that the single_double_layer, adj_double_layer_hypersingular, and volume_potential functions have high-level API with a correction keyword argument that allows one to specify the correction method to use when constructing the integral operators; see the documentation of these functions for more details.