Kehinde O. Ladipo, Roland Glowinski, Tsorng-Whay Pan
Published 2003-09-02Version 1
This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra. Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range $10^3$ to $10 ^6$ are obtained and they are in good agreement with those in literature obtained by other methods.
A posteriori error estimates of finite element methods by preconditioning
Finite difference and finite element methods for partial differential equations on fractals
Hessian Recovery for Finite Element Methods
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