pymor.analyticalproblems.helmholtz

Module Contents

Functions

helmholtz_problem

Helmholtz equation problem.
pymor.analyticalproblems.helmholtz.helmholtz_problem(domain=RectDomain(), rhs=None, parameter_range=(0.0, 100.0), dirichlet_data=None, neumann_data=None)[source]

Helmholtz equation problem.

This problem is to solve the Helmholtz equation

- ∆ u(x, k) - k^2 u(x, k) = f(x, k)

on a given domain.

Parameters

domain

A DomainDescription of the domain the problem is posed on.

rhs

The Function f(x, μ).

parameter_range

A tuple (k_min, k_max) describing the interval in which k is allowd to vary.

dirichlet_data

Function providing the Dirichlet boundary values.

neumann_data

Function providing the Neumann boundary values.