Analysis of a dynamic electro-elastic problem
DOI10.1002/zamm.201200113zbMath1321.74051OpenAlexW2049578931MaRDI QIDQ2856964
Kamran Kazmi, Weimin Han, Mircea Sofonea, Mikäel Barboteu
Publication date: 31 October 2013
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201200113
convergencefinite element methoderror estimationpiezoelectric materialnumerical simulationinfinitesimal generatorfully discrete scheme\(C_{0}\) semigroup of linear continuous operatorselectro-elastic constitutive law
Control, switches and devices (``smart materials) in solid mechanics (74M05) Electromagnetic effects in solid mechanics (74F15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Numerical analysis of a dynamic piezoelectric contact problem arising in viscoelasticity
- Modeling and analysis of the unilateral contact of a piezoelectric body with a conductive support
- Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials
- Solvability of a dynamic contact problem between a piezoelectric body and a conductive foundation
- Space-time finite element methods for second-order hyperbolic equations
- The unilateral frictionless contact of a piezoelectric body with a rigid support.
- Saint-Venant's principle in linear piezoelectricity
- Polarization gradient in elastic dielectrics
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
