Exploració per tema "Helmholtz equation"
Ara es mostren els items 1-11 de 11
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A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
(1999-09)
Article
Accés obertA Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional ... -
A semi-analytical scheme for highly oscillatory integrals over tetrahedra
(John Wiley & Sons, 2017-08)
Article
Accés obertThis paper details a semi-analytical procedure to efficiently integrate the product of a smooth function and a complex exponential over tetrahedral elements. These highly oscillatory integrals appear at the core of different ... -
Boundary element method based on preliminary discretization
(2014-03)
Article
Accés obertA new numerical method for solving wave diffraction problems is given. The method is based on the concept of boundary elements; i.e., the unknown values are the field values on the surface of the scatterer. An analog of a ... -
Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation
(John Wiley & sons, 2011-06-10)
Article
Accés obertAn estimator for the error in the wave number is presented in the context of finite element approximations of the Helmholtz equation. The proposed estimate is an extension of the ideas introduced in Steffens and D'iez ... -
Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies
(2011-01-14)
Article
Accés obertThis paper introduces a new goal-oriented adaptive technique based on a simple and effective post-process of the finite element approximations. The goal-oriented character of the estimate is achieved by analyzing both the ... -
High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
(Elsevier, 2020)
Article
Accés obertArbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary ... -
Hybridizable discontinuous Galerkin p-adaptivity for wave propagation problems
(2013)
Article
Accés obertA p-adaptive hybridizable discontinuous Galerkin method for the solution of wave problems is presented in a challenging engineering problem. Moreover, its performance is compared with a high-order continuous Galerkin. The ... -
Numerical modeling of undersea acoustics using a partition of unity method with plane waves enrichment
(2016-05)
Article
Accés obertA new 2D numerical model to predict the underwater acoustic propagation is obtained by exploring the potential of the Partition of Unity Method (PUM) enriched with plane waves. The aim of the work is to obtain sound pressure ... -
Numerical solution of the Helmholtz Equation using high-order continuous Galerkin methods
(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obertWe show a continuous Galerkin formulation with high-order polynomials to solve the Helmholtz equation. High-order formulations obtain solutions with less numerical error, and can use curved high-order meshes to approximate ... -
Simple assessment of the numerical wave number in the fe solution of the helmholtz equation
(2009-06-08T11:13:41Z)
Text en actes de congrés
Accés obertWhen numerical methods are applied to the computation of stationary waves, it is observed that "numerical waves" are dispersive for high wave numbers. The numerical wave shows a phase velocity which depends on the wave ... -
Stabilized finite element methods for convection-diffusion-reaction, helmholtz and stokes problems
(Universitat Politècnica de Catalunya, 2011-05-13)
Tesi
Accés obertWe present three new stabilized finite element (FE) based Petrov-Galerkin methods for the convection-diffusionreaction (CDR), the Helmholtz and the Stokes problems, respectively. The work embarks upon a priori analysis ...