A simple adaptive technique for nonlinear wave problems
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Some observations on a static spatial remeshing method based on equidistribution principles
Journal of Computational Physics
SIAM Journal on Scientific Computing
Proceedings of international centre for mathematical sciences on Grid adaptation in computational PDES : theory and applications: theory and applications
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
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We present a method-of-lines solution procedure for modelling charge transport and recombination in organic light-emitting diodes operating in the trap-free space-charge-limited regime. The numerical procedure employs a spatial remeshing algorithm based on equidistribution principles as reported by Sanz-Serna and Christie (1986, J. Comput. Phys. 67, 348) and incorporates additional refinements proposed by Revilla (1986, Int. J. Numer Methods Eng. 23, 2263) and Saucez et al. (1996, J. Comput. Phys. 128, 274). The method, which does not give rise to ill-conditioned series of differential equations, offers rapid convergence to the steady state and is especially well suited to systems of equations displaying steep moving solution fronts. The technique is readily extended to more complex systems.