An improved accuracy version of the mixed finite-element method for a second-order elliptic equation

• Autores: R.R.P. van Nooyen
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 1, 1993, pág. 11
• Idioma: inglés
• DOI: 10.1016/0377-0427(93)90087-r
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• Resumen

  • We discuss a new variant of the mixed finite-element method for a second-order elliptic problem. By using an appropriate quadrature rule to compute the coefficient matrix, we obtain an improvement in the order of approximation of local averages. We show how the new method can be used to obtain an a posteriori error estimate for a lower-order method.