Is the Helmholtz equation really sign-indefinite?

4 December 2014
14:00
Dr Euan Spence
Abstract

The usual variational formulations of the Helmholtz equation are sign-indefinite (i.e. not coercive). In this talk, I will argue that this indefiniteness is not an inherent feature of the Helmholtz equation itself, only of its standard formulations. I will do this by presenting new sign-definite formulations of several Helmholtz boundary value problems.

This is joint work with Andrea Moiola (Reading).
 

  • Computational Mathematics and Applications Seminar