Error estimates for the finite element solution of variational inequalities
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- Brezzi, F., Hager, W.W. & Raviart, P.A. Numer. Math. (1977) 28: 431. doi:10.1007/BF01404345
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We analyze the convergence of finite element approximations of some variational inequalities namely the “obstacle problem” and the “unilateral problem”. OptimalO(h) andO(h3/2−∈) error bounds for the obstacle problem (for linear and quadratic elements) and anO(h) error bound for the unilateral problem (with linear elements) are proved.