New locally conservative finite element methods on a rectangular mesh
The paper proposes a new family of locally conservative finite element methods for a rectangular mesh for solving second-order elliptic equations. The authors generate a partial differential equation-adapted local basis and solve a global matrix system arising from a flux continuity equation. Quadratic and cubic elements are analyzed and optimal order error estimates measured in the energy norm are provided for elliptic equations. Numerical examples are also discussed.
scientific article; zbMATH DE number 6138631
scientific article