Penalty methods for finding eigenvalues of continuous systems: Emerging challenges and opportunities

Author:

Ilanko Sinniah

Publisher

Elsevier BV

Subject

Computer Science Applications,Mechanical Engineering,General Materials Science,Modeling and Simulation,Civil and Structural Engineering

Reference40 articles.

1. Variational methods for the solution of problems of equilibrium and vibration;Courant;Bull Amer Math Soc,1943

2. Upper and lower bounds for natural frequencies: a property of the smoothed finite element methods;Zhang;Int J Numer Meth Eng,2010

3. Zienkiewicz OC. Constrained variational principles and penalty function methods in the finite element analysis. Lecture Notes in Mathematics, Springer: Berlin, 363;1974:207–14.

4. The role of the penalty in the local discontinuous Galerkin method for Maxwell’s eigenvalue problem;Warburton;Comput Methods Appl Mech Eng,2006

5. Optimal penalty parameters for symmetric discontinuous Galerkin Discretisations of the time-harmonic Maxwell equations;Sármány;J Comput Appl Math,2010

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