This is a preview. Log in through your library . Abstract For a Helmholtz eigenvalue problem with a multiply connected domain, the boundary integral equation approach as well as the boundary-element ...

Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Spectral problems in boundary value problems constitute a fundamental area of applied mathematics and mathematical physics, where the focus lies on determining eigenvalues and corresponding ...

SIAM Journal on Numerical Analysis, Vol. 52, No. 4 (2014), pp. 2027-2047 (21 pages) Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The new methods are based on ...

The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations ...