Computation eigenvalues and eigenfunctions of mixed BVP for Helmholtz equation

摘要

The direct and adjoint Monte Carlo methods were constructed to solve eigenvalues problem of systems algebraic equations corresponding to the standard difference approximation and the mixed BVP for the two-dimensional Helmholtz equation in a triangle domain. Eigenfunction is computed using a linear fill in the grid nodes. The laboriousness and the convergence rate of obtained methods is investigated.