Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems (Q1971276)

Uniqueness and convergence of the solution of nonconforming and mixed finite element 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 the nonconforming method is obtained. Meanwhile, a domain decomposition algorithm which suits to a non-quasi-uniform partition is proposed for nonconforming and mixed methods.