A mixed method for 4th order problems using linear finite elements

 Access to full text

 Full (PDF)

1. 1. F. BREZZI and P. A. RAVIART, Mixed Finite Element Methods for Mh Order Elliptic Equations (to appear). Zbl0434.65085
2. 2. P. G. CIARLET and P. A. RAVIART, Interpolation Theory Over Curved Elements, with Applications to Finite Element Methods, Computer Meth. Appl. Mech. Engrg., 1, 1972, pp. 217-249. Zbl0261.65079MR375801
3. 3. P. G. CIARLET and P. A. RAVIART, A Mixed Finite Element Method for the Biharmonic Equation in Mathematical Aspects of Finite Elements in Partial Differential Equations, C. DEBOOR, Ed., Proc. Symp. Math. Res. Center, Univ. Wisconsin, April 1-3, 1974, Academic Press, New York - San Francisco- London, 1974, pp. 125-145. Zbl0337.65058MR657977
4. 4. J. FREHSE and R. RANNACHER, Eine $L^1$-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente, Bonner Math. Schriften, 89, 1976, pp. 92-114. Zbl0359.65093MR471370
5. 5. S. G. MDCHLIN, The Problem of the Minimum of a Quadratic Functional, Holden-Day, Inc., San Francisco - London - Amsterdam, 1965. Zbl0121.32801MR171196
6. 6. J. NITSCHE, $L_{\infty }$-Convergence of Finite Element Approximations, Rom, 1975 (to appear). Zbl0362.65088MR568857
7. 7. J. NITSCHE, $L_{i}nfty$-convergence of the Ritz-method with linear finite elements for second order elliptic boundary value problems (to appear in the anniversary volume dedicated to academician I. N. Vekua). Zbl0424.35033MR513396
8. 8. R. RANNACHER, Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem, Manuscripta Math., 19, 1976, pp. 401-416. Zbl0383.65061MR423841
9. 9. R. SCHOLZ, Approximation von Sattelpunkten mit finiten Elementen, Bonner Math. Schriften, 89, 1976, pp. 53-66. Zbl0359.65096MR471377
10. 10. M. ZLAMAL, Curved Elements in the Finite Element Method, I. S.LA.M. J. Numer. Anal., 10, 1973, pp. 229-240; II. S.I.A.M. J. Numer. Anal.,11, 1974, pp. 347-362. Zbl0285.65067MR395263

1. Mohamed Amara, Christine Bernardi, Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
2. Pulin K. Bhattacharyya, Neela Nataraj, On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients
3. Rolf Rannacher, On nonconforming an mixed finite element methods for plate bending problems. The linear case
4. T. Scapolla, A mixed finite element method for the biharmonic problem
5. R. S. Falk, J. E. Osborn, Error estimates for mixed methods
6. Daniele Boffi, Franco Brezzi, Lucia Gastaldi, On the convergence of eigenvalues for mixed formulations