Computation of Exterior Acoustics Problems in Two Dimensions by Trefftz-Type Finite Elements

Małgorzata Stojek

doi:10.4028/www.scientific.net/AMM.712.17

Paper Titles

Preface

Simulation-Based Engineering Science Challenges of the 21st Century
p.3

Bootstrap Identification of Confidence Intervals for the Non-Linear DoE Model
p.11

Computation of Exterior Acoustics Problems in Two Dimensions by Trefftz-Type Finite Elements
p.17

Fuel Recognition Using Particle Swarm Optimization of Classification Trees
p.23

Precision Mechanics of Contact Surfaces in the Transition from Stick to Slip
p.29

The Iterative Shooting Method Applied to the Modeling of the In-Run Profile of a Ski Jumping Hill
p.37

The Modified Power Method for Solving the Eigenvalue Problem with the Use of Idempotent Matrix
p.43

The Study of the Effect of Static Axial Loads on Vertically-Mounted Tapered Cantilever Transverse Vibrations Using the Cauchy Function
p.49

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 712Computation of Exterior Acoustics Problems in Two...

Computation of Exterior Acoustics Problems in Two Dimensions by Trefftz-Type Finite Elements

Abstract:

The paper deals with the application of the so-called T-type finite elements [1] to the calculation of the exterior acoustic problems in two dimensions. The method is based on the use of asuitably truncated T-complete set of Trefftz functions over individual subdomains linked by means ofa least square procedure. The vertex singularities and the Sommerfeld radiation condition are readilyincorporated in the trial functions. In order to show the performance of the approach two examples ofcomputations for infinite cylinders (of circular and square cross section) are presented and comparedwith those obtained by means of h-adaptive FE method [2].

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Periodical:

Applied Mechanics and Materials (Volume 712)

Pages:

17-22

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.712.17

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Online since:

January 2015

Authors:

Małgorzata Stojek*

Keywords:

Acoustics, Helmholtz Equation, Least-Square Method (LSM), Trefftz-Type Finite Elements

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References

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