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Mathematical Background

Coming soon!

Prerequisites

We will assume that the reader is familiar with:

  • Partial differential equations (PDEs)
  • Finite element methods (FEM)
  • Complex analysis, especially the Cauchy-Riemann equations

Motivation

Poisson Spaces

A Dirichlet-to-Neumann Map for Harmonic Functions

An Anti-Laplacian of a Harmonic Function

Multiply Connected Mesh Cells

Modified Poisson Spaces (in progress)

This work has yet to be published.

References