Fictitious frequency revisited

DOI10.1016/j.enganabound.2009.06.001zbMath1244.76033OpenAlexW2132654339MaRDI QIDQ441475

J. Herrera, H. S. Yoon

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.06.001

zbMATH Keywords

singular value decompositionboundary element methodnonuniquenessexterior acousticsfictitious frequency

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05)

Related Items (9)

Water wave problems using null-field boundary integral equations: ill-posedness and remedies ⋮ A transformation of the CVIS method to eliminate the irregular frequency ⋮ Singular boundary method: a review and computer implementation aspects ⋮ Fictitious eigenfrequencies in the BEM for interior acoustic problems ⋮ Recent Advances in Acoustic Boundary Element Methods ⋮ Analytical investigation for true and spurious eigensolutions of multiply-connected membranes containing elliptical boundaries using the dual BIEM ⋮ On the improvement of the solution accuracy for exterior acoustic problems with BEM and FMBEM ⋮ On rank-deficiency in direct Trefftz method for 2D Laplace problems ⋮ Eliminating the fictitious frequency problem in BEM solutions of the external Helmholtz equation

Cites Work

• TREATMENT OF RANK DEFICIENCY IN ACOUSTICS USING SVD
• Nonexistence and nonuniqueness problems associated with integral equation methods in acoustics
• A Numerical Study Of The Coefficient Matrix Of The Boundary Element Method Near Characteristic Frequencies
• Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply connected problem
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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