Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems

Finite element approximation to a decoupled formulation for the quad-curl problem is studied in this paper. The difficulty of constructing elements with certain conformity quad–curl problems has been greatly reduced. For convex domains, where regularity assumption holds Stokes equation, curl true solution quadratic order convergence and first energy norm. If shows singularity, an posterior error estimator developed separate marking adaptive finite procedure proposed, together its proved. Both priori posteriori analysis are supported by numerical examples.