%0 Journal Article
%T Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping
%A Tongxin Wang
%A Ziwen Jiang
%A Zhe Yin
%J American Journal of Computational Mathematics
%P 207-225
%@ 2161-1211
%D 2021
%I Scientific Research Publishing
%R 10.4236/ajcm.2021.113014
%X <span style=\"font-family:Verdana;\">In this
paper, for the initial and boundary value problem of beams with</span> <span style=\"font-family:Verdana;\">structural damping, by introducing intermediate
variables, the original </span><span style=\"font-family:Verdana;\">fourth-order problem is transformed into
second-order partial differential equations, and the mixed finite volume
element scheme is constructed, and the existence, uniqueness and convergence of
the scheme are analyzed</span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">.</span></span></span><span><span><span style=\"font-family:Verdana;\"> Numerical examples are provided to confirm the theoretical results. In
the end, we test the value of <em>¦Ä</em></span><span style=\"font-family:Verdana;\"> to observe its influence on the
model.</span></span></span>
%K Vibration Equations
%K Structural Damping
%K Mixed Finite Volume Element Method
%K Error Estimation
%K Numerical Simulation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=112219