Error Estimates of H1-Galerkin Expanded Mixed Finite Element Methods for Heat Problems
H1-Galerkin expanded mixed element method are discussed for a class of second-order heat equations. The methods possesses the advantage of mixed finite element while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. H1-Galerkin expanded mixed finite element method for heat equations are described, an optimal order error estimate for the methods is obtained.
H. T. Che et al., "Error Estimates of H1-Galerkin Expanded Mixed Finite Element Methods for Heat Problems", Advanced Materials Research, Vol. 267, pp. 493-498, 2011