The hybrid-penalized method for the Timoshenko's beam

Rivera, Jaime E. Muñoz; Baldez, Carlos Alessandro da Costa

doi:10.1016/j.jmaa.2017.10.022

Search citation statements

Order By: Relevance

Paper Sections

Select...

Existence: the Hybrid-penalized Methods1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To prove the existence of weak solutions to Signorin's problem we use the hybridpenalized method introduced in [12]. That is given > 0, we consider the linear hybrid model…”

Section: Existence: the Hybrid-penalized Methodsmentioning

confidence: 99%

Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation

Munoz Rivera,

Baldez,

Cordeiro

2024

ejde

View full text Add to dashboard Cite

We prove the existence of a global solution to Signorini's problem for the localized viscoelastic Bresse beam model (circular arc) with continuous and discontinuous constitutive laws. We show that when the constitutive law is continuous, the solution decays exponentially to zero, and when the constitutive law is discontinuous the solution decays only polynomially to zero. The method we use for proving our result is different the others already used in Signorini's problem and is based on approximations through a hybrid model. Also, we present some numerical results using discrete approximations in time and space, based on the finite element method on the spatial variable and the implicit Newmark method to the discretized the temporal variable. For more information see https://ejde.math.txstate.edu/Volumes/2024/17/abstr.html

show abstract

“…To prove the existence of weak solutions to Signorin's problem we use the hybridpenalized method introduced in [12]. That is given > 0, we consider the linear hybrid model…”

Section: Existence: the Hybrid-penalized Methodsmentioning

confidence: 99%