A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity

Abstract This work analyses a high-order hybridizable discontinuous Galerkin (HDG) method for the linear elasticity problem in domain not necessarily polyhedral. The is approximated by polyhedral computational where HDG solution can be computed. introduction of rotation as one unknowns allows us to use gradient displacements obtain an explicit representation boundary data domain. transferred from true line integrals, integrand depends on Cauchy stress tensor and rotation. Under closeness assumptions between boundaries, scheme shown well-posed optimal error estimates are provided even nearly incompressible case. Numerical experiments two dimensions presented.