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In this paper, we propose a locking-free stabilized mixed finite element method for the linear elasticity problem, which employs a jump penalty term for the displacement approximation. The continuous piecewise k-order polynomial space is used for the stress and the discontinuous piecewise $$(k-1)$$ (k-1) -order polynomial space for the displacement, where we require that $$k\ge 3$$ k≥3 in the two...
We consider residual-based a posteriori error estimation for lowest-order nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. The resulting error estimator is semi-robust in the sense that it yields lower and upper bounds of the error which differ by a factor equal at most to the square root of the Péclet number. The error analysis is...
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