...Shuai Yang; Yiping Wang; Quan Yuan; Si Yuan Purpose This paper aims to propose a novel yet simple approach to the adaptive finite element (FE) analysis of two-dimensional boundary value problems (BVPs) in the maximum norm with local refinement of unstructured meshes based on the reduced element...

.... The improved adaptive procedure characterizes simpler and faster computational algorithm and can produce results with required accuracy measured in maximum norm. 09 02 2022 28 07 2022 12 12 2022 04 01 2023 (4) u h ( ξ , η ) = ∑ i = 1 m + 1 ∑ j...

... error estimate in maximum norm was established and an adaptive 2D nonlinear FE strategy of h-version mesh refinement was developed. Findings Three classical known surfaces, including a singularity problem, were analysed. Moreover, an example whose analytic solution is unavailable...