A Galerkin method for a nonlinear Dirichlet problem. (English) Zbl 0306.65072
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65H10 | Numerical computation of solutions to systems of equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J60 | Nonlinear elliptic equations |
| 65N15 | Error bounds for boundary value problems involving PDEs |
References:
| [1] | Jim Douglas Jr., Todd Dupont, and James Serrin, Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form, Arch. Rational Mech. Anal. 42 (1971), 157 – 168. · Zbl 0222.35017 · doi:10.1007/BF00250482 |
| [2] | Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. · Zbl 0142.38701 |
| [3] | J. Nitsche, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, Abh. Math. Sem. Univ. Hamburg 36 (1971), 9 – 15 (German). Collection of articles dedicated to Lothar Collatz on his sixtieth birthday. · Zbl 0229.65079 · doi:10.1007/BF02995904 |
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