zbMATH — the first resource for mathematics

\(L_\infty\)-convergence of saddle-point approximations for second order problems. (English) Zbl 0356.35026

35J25 Boundary value problems for second-order elliptic equations
35J35 Variational methods for higher-order elliptic equations
35A35 Theoretical approximation in context of PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
Full Text: DOI EuDML
[1] 1. P. G. CIARLET and P.A. RAVIARTG, General Lagrange and Hermite interpolation in Rn with applications to finite element methods. Archive Rational Mech. Anal., Vol. 46, 1972, pp. 177-199. Zbl0243.41004 MR336957 · Zbl 0243.41004 · doi:10.1007/BF00252458
[2] 2. F. NATTERER, Über die punkweise Konvergenz finiter Elemente, Numer. Math., Vol.25, 1975. pp. 67-77, Zbl0331.65073 MR474884 · Zbl 0331.65073 · doi:10.1007/BF01419529 · eudml:132361
[3] 3. J. NITSCHE, \(L_\infty\)- convergence of finite element approximation, Second Conference on Finite Elements, Rennes, France. (To appear). MR568857
[4] 4. J. NITSCHE, Über \(L_\infty\)-Abschätzungen von Projektionen auf finite Elemente, Bonner Mathematische Schriften Vol. 89, 1976, pp. 13-30. Zbl0358.65094 MR451780 · Zbl 0358.65094
[5] 5. P. A. RAVIART and J. M. THOMAS, A mixed finite element method for second order elliptic problems. (To appear). Zbl0362.65089 · Zbl 0362.65089
[6] 6. R. SCHOLZ, Approximation von Sattelpunkten mit finiten Elementen, Bonner Mathe-matische Schriften Vol. 89, 1976, pp, 53-66. Zbl0359.65096 MR471377 · Zbl 0359.65096
[7] 7. YOSIDA, Functional analysis, Springer Verlag, Berlin-Heidelberg-New York, 1965. Zbl0126.11504 · Zbl 0126.11504
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.