Approximation by finite element functions using local regularization

 Access to full text

 Full (PDF)

1. [1] Ph. CLEMENT, Un problème d'approximation par éléments finis, Annexe à la thèse de Doctorat, Ecole Polytechnique Fédérale de Lausane, 1973. 
2. [2] J. J GOEL, Construction of Basic Functions for Numerical Utilisation of Ritz-s Method, Numer. Math., (1968), 12, 435-447. Zbl0271.65061MR256580
3. [3] M. ZLAMAL, On the Finite Element Method, Numer. Math., (1968), 12, 394-409. Zbl0176.16001MR243753
4. [4] J. H. BRAMBLE and M. ZLAMAL, Triangular Elements in the Finite Element Method, Math. of Comp. vol. 24, number 12, (1970), 809-820. Zbl0226.65073MR282540
5. [5] G. STRANG, Approximation in the finite element method, Numer Math., (1972), 19, 81-98. Zbl0221.65174MR305547
6. [6] G DUPUIS et J. J. GOEL, Eléments finis raffinés en élasticité bidimensionnelle, ZAMP, vol. 20, (1969), 858-881. Zbl0201.26604
7. [7] J. DESCLOUX, Méthodes des éléments finis, Dept. de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1973. 
8. [8] J. DESCLOUX, Two Basic Properties of Finite Eléments, Dept. of Math., Ecole Polytechnique Fédérale de Lausanne, 1973. 
9. [9] P. G. CIARLET and P. A. RAVIART, General Lagrange and Hermite interpolation in $R^n$ with applications to finite elements methods, Arch. Rational Mech. Anal., 46 (1972), 177-199. Zbl0243.41004MR336957
10. [10] G. FICHERA, Linear elliptic differential systems and eigenvalue problems, Lecture Notes in Mathematics 8, Springer, 1965. Zbl0138.36104MR209639
11. [11] S. HILBERT, A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations, Math. of Comp., 27 (1973), 81-89.tisf Zbl0257.65087MR331715

1. Alexandre Ern, Sébastien Meunier, A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
2. Stefano Berrone, Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients
3. Daniel Kessler, Ricardo H. Nochetto, Alfred Schmidt, A posteriori error control for the Allen–Cahn problem : circumventing Gronwall’s inequality
4. Rüdiger Verfürth, Error estimates for some quasi-interpolation operators
5. R. Verfürth, A posteriori error estimates for nonlinear problems. $L^r$-estimates for finite element discretizations of elliptic equations
6. Sergey Repin, Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
7. Stefano Berrone, Robust error estimates for finite element discretizations of the heat equation with discontinuous coefficients
8. Daniel Kessler, Ricardo H. Nochetto, Alfred Schmidt, error control for the Allen–Cahn problem: circumventing Gronwall's inequality
9. Alexandre Ern, Sébastien Meunier, error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
10. Sergey I. Repin, Tatiana S. Samrowski, Stéfan A. Sauter, Combined modeling-discretization error estimate for elliptic problems with complicated interfaces