A Petrov-Galerkin approximation of convection-diffusion and reaction- diffusion problems
zbMath0748.65061MaRDI QIDQ1184930
Publication date: 28 June 1992
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/15683
algorithmDirichlet problemconvection-diffusion equationnumerical examplesPetrov-Galerkin methodreaction-diffusion equationtest functions
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)
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Cites Work
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- Singularly perturbed finite element methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Skew upstream differencing schemes for problems involving fluid flow
- An asymptotic finite element method for improvement of solutions of boundary layer problems
- Numerical aspects of singular perturbation problems
- New Monotone Type Approximations for Elliptic Problems
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