Quad-curl equations with Navier type boundary conditions are studied in this paper.Stable order reduced formulations equivalent to the model problems are presented,and finite element discretizations are designed.Optim...Quad-curl equations with Navier type boundary conditions are studied in this paper.Stable order reduced formulations equivalent to the model problems are presented,and finite element discretizations are designed.Optimal convergence rates are proved.展开更多
基金The work of the first author was supported in part by Yunnan Provincial Science and Technology Department Research Award:Interdisciplinary Research in Computational Mathematics and Mechanics with Applications in Energy Engineering(Grant No.2009CI128)Yunnan Provincial Science and Technology Project(Grant No.2014RA071)The work of the second author was supported partially by the National Natural Science Foundation of China with Grant Nos 11471026 and 11871465 and National Centre for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences.
文摘Quad-curl equations with Navier type boundary conditions are studied in this paper.Stable order reduced formulations equivalent to the model problems are presented,and finite element discretizations are designed.Optimal convergence rates are proved.