A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow

Table 1

Three numerical test cases.

Case	Coefficient 𝜇/𝜅	True solution 𝑢	True solution 𝑝
1	1	𝑥^2𝑦−𝑥^4𝑦𝑥𝑦^4−𝑥𝑦^2	(𝑥−1/2)(𝑦−1/2)
2	𝑒^2𝑥𝑦2001𝑥+𝑦	𝑥^2𝑦−𝑥^4𝑦𝑥𝑦^4−𝑥𝑦^2	(𝑥−1/2)(𝑦−1/2)
3	𝑒^2𝑥𝑦2001𝑥+𝑦	𝑒^−𝑥𝑦𝑥^2cos𝑦	𝑦𝑒^𝑥