A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation
A unified representation of various quantities is presented in this paper. Even pointwise quantities are shown to fit well with the unified representation. Dual error estimation is conducted based on the unified representation. Two bounding approaches are revisited and optimized for the goal-oriented error estimation. Strict upper and lower bounds of displacement integrals, stress integrals and pointwise quantities are acquired by the present unified approach.
goal-oriented error estimation constitutive relation error (cre) unified representation of quantities optimized bound bounds of pointwise quantities