martes, 3 de noviembre de 2009
A nonstandard finite difference scheme for contaminant transport with kinetic Langmuir sorption
This study focuses on a contaminant transport model with Langmuir sorption under nonequilibrium conditions. The numerical instabilities of the standard finite difference schemes including the upwind method are investigated. By using the nonstandard finite difference method, a better finite difference model is constructed. The numerical simulation on a specific system configuration proves the advantages of the new finite difference model. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010
A posteriori error analysis for finite element solution of elliptic differential equations using equidistributing meshes. (arXiv:0911.0065v1 [math.NA])
The paper is concerned with the adaptive finite element solution of linear
elliptic differential equations using equidistributing meshes. A strategy is
developed for defining this type of mesh based on residual-based a posteriori
error estimates and rigorously analyzing the convergence of a linear finite
element approximation using them. The existence and computation of
equidistributing meshes and the continuous dependence of the finite element
approximation on mesh are also studied. Numerical results are given to verify
the theoretical findings.
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