Original title:
Weak imposition of potential Dirichlet boundary conditions in piezoelasticity: Numerical study
Authors:
Cimrman, Robert Document type: Papers Conference/Event: Engineering mechanics 2024 /30./, Milovy (CZ), 20240514
Year:
2024
Language:
eng Abstract:
Detailed modelling of piezoelastic structures often includes also an external circuit. This is tied with the need for a weak imposition of electric potential Dirichlet boundary conditions and questions of simulation accuracy arise. Several methods allowing the weak imposition, namely the non-symmetric Nitsche’s method, penalty method and their combinations, are evaluated and their numerical convergence w.r.t. uniform mesh refinement for various finite element approximation orders is reported. The numerical study is performed on a geometry corresponding to a piezoelectric sensor.
Keywords:
dirichlet boundary conditions; numerical convergence; piezoelasticity; weak imposition Project no.: GA23-06220S (CEP) Funding provider: GA ČR Host item entry: Engineering Mechanics 2024, ISBN 978-80-214-6235-9, ISSN 1805-8248
Institution: Institute of Thermomechanics AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: https://hdl.handle.net/11104/0364299