Weak Imposition of Potential Dirichlet Boundary Conditions in Piezoelasticity: Numerical Study

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.