Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems Original Research Article

In this paper, the existence, uniqueness and convergence of the solutions of nonconforming and mixed methods with non-quasi-uniform partition are proven for nonselfadjoint and indefinite second-order elliptic problems under minimal regularity assumption, moreover, uniform convergence of the solution of nonconforming method is obtained. Meanwhile, the domain decomposition algorithm which suits non-quasi-uniform partition is proposed for nonconforming and mixed methods.