The use of negative penalty functions in solving partial differential equations

DOI10.1002/cnm.729zbMath1068.65136OpenAlexW1985973530MaRDI QIDQ4667895

Sinniah Ilanko, Alan C. Tucker

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1002/cnm.729

zbMATH Keywords

Galerkin methodnumerical examplesRayleigh-Ritz methodLaplace's equationnegative penalty function

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

On the definition of penalty functions in data aggregation ⋮ The use of negative penalty functions in linear systems of equations ⋮ A generalization of stability for families of aggregation operators ⋮ The use of pseudo-inertia in asymptotic modelling of constraints in boundary value problems

Cites Work

• EXISTENCE OF NATURAL FREQUENCIES OF SYSTEMS WITH ARTIFICIAL RESTRAINTS AND THEIR CONVERGENCE IN ASYMPTOTIC MODELLING
• The flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method
• The use of negative penalty functions in constrained variational problems
• Variational methods for the solution of problems of equilibrium and vibrations
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