Essays about: "Helmholtz equation"

Showing result 1 - 5 of 22 essays containing the words Helmholtz equation.

  1. 1. Moderling Acoustic Transmission in Towed Array Sonars : Computations of the coupled acoustic and elastic wave equations

    University essay from KTH/Matematik (Avd.)

    Author : Bill Claesson; [2023]
    Keywords : ;

    Abstract : This thesis presents a method of solving the Helmholtz equation coupled with the Navier-Cauchy equation over a cross section of a Towed Array Sonar (TAS) modeled as a simplified cylindrical shell. The purpose of solving these equations is to estimate the transfer function of the pressure between the outside boundary and a position inside the TAS. READ MORE

  3. 2. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Tindra Jernström; Anna Öhman; [2023]
    Keywords : Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Abstract : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. READ MORE

  4. 3. Implementation and study of boundary integral operators related to PDE:s in the plane

    University essay from Lunds universitet/Matematik LTH

    Author : Erik Andersson; [2023]
    Keywords : Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

    Abstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE

  5. 4. HRTF-Based Sound Field Interpolation in the Presence of a Human Head

    University essay from Lunds universitet/Matematisk statistik

    Author : Anton Björkman; [2023]
    Keywords : Sound field interpolation; HRTF; head-related transfer function; kernel ridge regression; in-ear sound estimate; Helmholtz equation; Mathematics and Statistics;

    Abstract : There are different ways of evaluating the sound pressure in a sound field. Doing so is an essential part of several applications, such as active sound control and voice analysis. READ MORE

  6. 5. Computation of Underwater Acoustic Wave Propagation Using the WaveHoltz Iteration Method

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Paul Wall; [2022]
    Keywords : WaveHoltz iteration method; Helmholtz equation; Discontinuous Galerkin methods; Underwater acoustics.; WaveHoltziterativametod; Helmholtzekvation; DiskontinuerligaGalerkinmetoder; Undervattensakustik.;

    Abstract : In this thesis, we explore a novel approach to solving the Helmholtz equation,the WaveHolz iteration method. This method aims to overcome some ofthe difficulties with solving the Helmholtz equation by providing a highlyparallelizable iterative method based on solving the time-dependent Waveequation. READ MORE