High order locally corrected Nyström method with continuity constraints

An extension of the high order, locally corrected Nyström (LCN) discretization method is presented, which provides current continuity via auxiliary constraints on the LCN basis. The high-order, constrained LCN (CLCN) method is obtained by enforcing normal continuity on the test and source vector quantities at mesh element boundaries. It is shown that the CLCN method reduces the size of the system matrix compared to the LCN approach and improves the accuracy of the LCN discretization at low orders.