Bipenalty method from a frequency domain perspective

DOI10.1002/nme.4266zbMath1242.74029OpenAlexW1520638247WikidataQ130574994 ScholiaQ130574994MaRDI QIDQ2895042

Sinniah Ilanko, Luis E. Monterrubio

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4266

zbMATH Keywords

eigenvaluesnatural frequenciesconstraintspenalty parameterbipenalty method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (1)

The bipenalty method for arbitrary multipoint constraints

Cites Work

• The role of the penalty in the local discontinuous Galerkin method for Maxwell's eigenvalue problem
• EXISTENCE OF NATURAL FREQUENCIES OF SYSTEMS WITH ARTIFICIAL RESTRAINTS AND THEIR CONVERGENCE IN ASYMPTOTIC MODELLING
• ASYMPTOTIC MODELLING OF RIGID BOUNDARIES AND CONNECTIONS IN THE RAYLEIGH–RITZ METHOD
• Natural frequencies of circular and annular plates with radial or circumferential cracks
• The use of negative penalty functions in linear systems of equations
• The use of the reciprocals of positive and negative inertial functions in asymptotic modelling
• Bipenalty method for time domain computational dynamics
• The flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method
• Tyings in linear systems of equations modelled with positive and negative penalty functions
• Introducing the use of positive and negative inertial functions in asymptotic modelling
• Asymptotic modelling theorems for the static analysis of linear elastic structures
• Variational methods for the solution of problems of equilibrium and vibrations
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