David Pnueli
Abstract
A method is presented to compute a lower bound to the nth eigenvalue of the Helmholtz equation over two-dimensional regions. The shape of the regions is arbitrary and only their area need be known.
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A method is presented to compute a lower bound to the nth eigenvalue of the Helmholtz equation over two-dimensional regions. The shape of the regions is arbitrary and only their area need be known.
Key concepts: Helmholtz equation, Eigenvalues and eigenvectors, Upper and lower bounds, Helmholtz free energy, Mathematics, Mathematical analysis, Physics, Boundary value problem