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On the numerical analysis of nonlinear twofold saddle point problems |
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| Authors: | Gatica Gabriel N; Heuer Norbert; Meddahi Salim |
| Institution: | 1 GI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile 2 Departamento de Matemática, Universidad de Oviedo, Calvo Sotelo s/n, 33007 Oviedo, España |
| Abstract: | We provide a general abstract theory for the solvability andGalerkin approximation of nonlinear twofold saddle point problems.In particular, a Strang error estimate containing the consistencyterms arising from the approximation of the continuous operatorsinvolved is deduced. Then we apply these results to analysea fully discrete Galerkin scheme for a twofold saddle pointformulation of a nonlinear elliptic boundary value problem indivergence form. Some numerical results are also presented. |
| Keywords: | Dual– dual formulation nonlinear operator equation fully discrete scheme numerical quadrature |
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