Analysis of a new augmented mixed finite element method
for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations

Gabriel N. Gatica

Analysis of a non-standard mixed finite element method with applications to superconvergence

Jan Brandts (2009)

Applications of Mathematics

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We show that a non-standard mixed finite element method proposed by Barrios and Gatica in 2007, is a higher order perturbation of the least-squares mixed finite element method. Therefore, it is also superconvergent whenever the least-squares mixed finite element method is superconvergent. Superconvergence of the latter was earlier investigated by Brandts, Chen and Yang between 2004 and 2006. Since the new method leads to a non-symmetric system matrix, its application seems however more...

Displaying similar documents to “Analysis of a new augmented mixed finite element method for linear elasticity allowing ℝ𝕋 0 - ℙ 1 - ℙ 0 approximations”

Analysis of a non-standard mixed finite element method with applications to superconvergence

Displaying similar documents to “Analysis of a new augmented mixed finite element method for linear elasticity allowing ${ℝ𝕋}_{0}$ - $ℙ_{1}$ - $ℙ_{0}$ approximations”