pyoomph.equations.helmholtz module

class pyoomph.equations.helmholtz.HelmholtzEquation(name='u', k=1, complex=False, space='C2', coeff=1, test_coeff=1)[source]

Bases: Equations

Represents the Helmholtz equation, which is a second order elliptic partial differential equation given by:

laplace(u) + k^2 u = 0

where u is the unknown field, k is a constant and laplace is the Laplace operator.

Parameters:

  • name (str) – Name of the unknown field.

  • k (ExpressionOrNum) – Wavenumber.

  • complex (bool) – If True, the equation is complex.

  • space (FiniteElementSpaceEnum) – Finite element space.

  • coeff (ExpressionOrNum) – Coefficient of the unknown field.

  • test_coeff (ExpressionOrNum) – Coefficient of the test field.