Helmholtz equation with artificial boundary conditions in a two-dimensional waveguide

DA Mitsoudis, C Makridakis, M Plexousakis - SIAM Journal on Mathematical …, 2012 - SIAM
We consider a time-harmonic acoustic wave propagation problem in a two-dimensional
water waveguide confined between a horizontal surface and a locally varying bottom. We …

Approximations of the Helmholtz equation with variable wave number in one dimension

DA Mitsoudis, M Plexousakis… - Studies in Applied …, 2024 - Wiley Online Library
This work is devoted to the numerical solution of the Helmholtz equation with variable wave
number and including a point source in appropriately truncated infinite domains. Motivated …

Finite element discretization of the Helmholtz equation in an underwater acoustic waveguide

NA Kampanis, VA Dougalis - Effective Computational Methods …, 2008 - books.google.com
The numerical solution of time-harmonic problems governed by the Helmholtz equation
remains a task of central importance and an active area of research for over thirty years. In …

[PDF][PDF] A finite element method with nonlocal boundary conditions for the Helmholtz Equation with complex wavenumber in stratified waveguides

DA Mitsoudis, M Plexousakis - Acta Acustica United with …, 2009 - users.math.uoc.gr
A finite element method for solving the Helmholtz equation with a complex wavenumber in
an axially symmetric stratified waveguide is presented. We use a standard Galerkin …

Finite Element Discretization of the Helmholtz Equation in an Underwater Acoustic Waveguide, DA Mitsoudis, NA Kampanis and VA Dougalis

NA Kampanis, V Dougalis… - … Methods for Wave …, 2008 - taylorfrancis.com
The numerical solution of time-harmonic problems governed by the Helmholtz equation
remains a task of central importance and an active area of research for over thirty years. In …

[引用][C] Application of Dirichlet-to-Neumann map to calculation of band gaps for scalar waves in two-dimensional phononic crystals

FL Li, YS Wang - Acta Acustica United with …, 2011 - European Acoustics Association