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One key issue in using moving mesh methods is to choose the monitor function.
Numerical confirmation of the conservation properties and the order of accuracy of these unstructured staggered mesh methods is presented.
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It is observed that while uniform mesh methods fail for high values of λ, the quasi-variable mesh methods are successful.
The MAEs and RMSEs obtained with the uniform mesh methods are tabulated in Table 16 and that obtained with quasi-variable mesh methods in Table 17.
In this paper moving mesh methods are used to simulate the blowup in a reaction diffusion equation with traveling heat source.
The time steps associated with moving mesh methods are proportional to the smallest mesh size in space and as a result they are very small at each time level.
The mesh method is sweep method.
A self-adaptive moving mesh method is also described.
An adaptive mesh method is presented for numerical simulation of shock-induced combustion.
Firstly, a bi-layer mesh method is proposed to divide the pedestrian space in complex building into cells.
An effective conforming mesh method is employed in the element discretizing procedure for the complex fracture network system.
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