A black-box solver for the solution of general nonlinear functional equations by mixed FEM The authors present a strategy to compute the approximation of the exact solution of steady functional equations by the mixed finite element method (FEM) with low computational amount. The discretized functional equation is solved by the Newton-Raphson method. The problem for getting statements on the discretization error by involving an error indicator based on an inspection of the functional on a space different from the FEM space is discussed.par The idea has been realized in the FORTRAN 77 program package VECFEM for vector computers. An example for the computation of the velocity distribution and the pressure of a viscous incompressible flow (two-dimensional problem) through a channel with a barrier using an SNI/Fujitsu S600/20 computer is presented.
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References in zbMATH (referenced in 6 articles , 2 standard articles )
Showing results 1 to 6 of 6.
- Schönauer, Willi; Häfner, Hartmut: Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL (2002)
- Grosz, Lutz: VECFEM-solver for nonlinear partial differential equations (2000)
- Houstis, Elias N. (ed.); Rice, John R. (ed.); Gallopoulos, Efstratios (ed.); Bramley, Randall (ed.): Enabling technologies for computational science. Frameworks, middleware and environments (2000)
- Schönauer, Willi: Numerical engineering: Design of PDE black-box solvers (2000)
- Grosz, L.; Roll, C.; Schönauer, W.: A black-box solver for the solution of general nonlinear functional equations by mixed FEM (1994)
- Mehrabi, M. Reza; Brown, Robert A.: Finite-element/Newton method for solution of nonlinear problems in transport processes using domain decomposition and nested dissection on MIMD parallel computers (1994)