Simple finite element schemes for the solution of the curl-div system
arXiv:1512.085325 citationsh-index: 27
Originality Synthesis-oriented
AI Analysis
Provides theoretically sound numerical schemes for solving the curl-div system, relevant to computational electromagnetics and fluid dynamics.
The authors propose new variational formulations for the curl-div system and prove convergence of finite element approximations using curl-free and divergence-free elements.
New variational formulations are devised for the curl--div system, and the corresponding finite element approximations are shown to converge. Curl--free and divergence--free finite elements are employed for discretizing the problem.