2 papers
math.CV2024
The Unified Transform Method: beyond circular or convex domains
Jesse J. Hulse, Loredana Lanzani, Stefan G. Llewellyn Smith +1
A new transform-based approach is presented that can be used to solve mixed boundary value problems for Laplace's equation in non-convex and other planar domains, specifically the…
math.CV2023
A transform pair for bounded convex planar domains
Jesse Hulse, Loredana Lanzani, Stefan Llewellyn Smith +1
A new transform pair which can be used to solve mixed boundary value problems for Laplace's equation and the complex Helmholtz equation in bounded convex planar domains is presente…