A generalized statement for advective-diffusive phenomena. Finiteelement model and applications
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Summary
Several problems in one and two-dimensional domains have been solved to show that the proposed use of Cattaneo’s law for the formulation of the advective-diffusive problem can be used in real engineering problems.
- Type
- article
- Published
- 2000-01-01
- Cited by
- 0
- References
- 35
- Access
- Open access
- OpenAlex
- https://openalex.org/W833840342
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:60170871
Keywords
Spurious relationship, Galerkin method, Discretization, Convection–diffusion equation, Partial differential equation
References
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- An analysis of time discretization in the finite element solution of hyperbolic problems
- On numerical solution of hyperbolic heat conduction
- Finite element methods for linear hyperbolic problems
- An introduction to finite element methods for transient advection problems
- The design and analysis of the Generalized Finite Element Method
- A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
- On the Stability of Residual-Free Bubbles for Convection-Diffusion Problemsand their Approximation by a Two-Level Finite Element Method.
- Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
- High-order accurate time-stepping schemes for convection-diffusion problems
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The variational multiscale method—a paradigm for computational mechanics
- The Discontinuous Enrichment Method
- An evaluation of upwind and central difference approximations by a study of recirculating flow
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