In this paper, we establish sharp error estimates of residual type for nite element approximation to elliptic obstacle problems. The estimates are of mixed nature, which are neither of a pure a priori form nor of a pure a posteriori form but instead they are combined by an a priori part and an a posteriori part. The key ingredient in our derivation for the mixed error estimates is the use of a ...

Abstract In their article “Coupling at a distance HDG and BEM” , Cockburn, Sayas Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) boundary element (BEM) to solve exterior Dirichlet problem. The novelty numerical scheme consisted using computational domain for discretization whose did not coincide with interface. article, authors provided extensive ev...

Anovel characteristic expandedmixed finite elementmethod is proposed and analyzed for reaction-convection-diffusion problems. The diffusion term ∇ ⋅ (a(x, t)∇u) is discretized by the novel expanded mixed method, whose gradient belongs to the square integrable space instead of the classical H(div; Ω) space and the hyperbolic part d(x)(∂u/∂t) + c(x, t) ⋅ ∇u is handled by the characteristic method...

In this paper, we develop a priori and a posteriori error estimates for wavelet-Taylor– Galerkin schemes introduced in Refs. 6 and 7 (particularly wavelet Taylor–Galerkin scheme based on Crank–Nicolson time stepping). We proceed in two steps. In the first step, we construct the priori estimates for the fully discrete problem. In the second step, we construct error indicators for posteriori esti...