High-frequency asymptotics for the modified Helmholtz equation in a quarter-plane

DOI10.1080/00036811.2010.534858zbMath1231.35020OpenAlexW2083482085WikidataQ58181722 ScholiaQ58181722MaRDI QIDQ3096924

Yu-Qiu Zhao, Min-Hai Huang

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.534858

zbMATH Keywords

Neumann conditionhigh-frequency asymptoticsmodified Helmholtz equationmethod of steepest descentsFokas' integral representation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• A fast collocation method for acoustic scattering in shallow oceans
• The solution of the modified Helmholtz equation in a wedge and an application to diffusion-limited coalescence
• Asymptotically derived boundary elements for the Helmholtz equation in high frequencies
• High-frequency asymptotics for the numerical solution of the Helmholtz equation
• High Frequency Analysis of Helmholtz Equations: Case of Two Point Sources
• A Unified Approach to Boundary Value Problems
• Numerical solution of the Helmholtz equation with high wavenumbers
• The modified Helmholtz equation in a semi-strip