Moving mesh methods for problems with blow-up
Nettet15. jan. 2008 · In convection-diffusion problems a first-order upwind difference approximation is usually used on a locally refined mesh to get a wiggle free solution, … Nettet1. okt. 2009 · In this paper moving mesh methods are used to simulate the blowup in a reaction-diffusion equation with traveling heat ... Huang, W. and Russell, R.D., Moving mesh methods for problems with blow-up. SIAM J. Sci. Comput. v17. 305-327. Google Scholar Digital Library [5] Budd, C.J., Leimkuhler, B. and Piggott, M.D., Scaling …
Moving mesh methods for problems with blow-up
Did you know?
Nettet12. aug. 2014 · The mesh generator is based on minimizing the sum of two diagonal lengths in each cell. We also add second order difference terms to obtain smoother and … NettetThe work continues a series of articles devoted to the peculiarities of solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection-type with data on the position of the reaction front. In this paper, we place the emphasis on some problems of the numerical solving process. One of the approaches …
Nettet1. jun. 2012 · Moving mesh methods based on moving mesh partial differential equations Numerical analysis of semilinear parabolic problems with blow-up solutions … Nettet1. aug. 2014 · Moving mesh methods are adaptive techniques for solving partial differential equations (PDEs) where the grid evolves to improve the approximation to …
NettetV. T. Nguyen and H. Zaag, Blow-up results for a strongly perturbed semilinear heat equation: Theoretical analysis and numerical method, Anal. PDE, 9 (2016), pp. 229--257. Google Scholar NettetWe consider moving mesh methods for which the mesh is determined using so-called moving mesh partial differential equations (MMPDEs). Specifically, the underlying …
Nettet1. jun. 2014 · The mesh generator is based on minimizing the sum of two diagonal lengths in each cell. We also add second order difference terms to obtain smoother and more orthogonal mesh. The method is...
Nettet18. feb. 2016 · The aim of this paper is to simulate the blow-up solutions to generalized Korteweg-de Vries (KdV) equations. The KdV equations are discretized with the use of a quintic Hermite collocation method based on the moving meshes generated by solving moving mesh partial differential equations (MMPDEs). plastic lids for dry herbsNettetWe consider moving mesh methods for which the mesh is determined using so-called moving mesh partial differential equations (MMPDEs).Specifically, the underlying PDE … plastic lids for large anchor hocking jarsNettetWe consider moving mesh methods for which the mesh is determined using so-called moving mesh partial differential equations (MMPDEs).Specifically, the underlying PDE and the MMPDE are solved for the blow-up solution … plastic lids for food warmerNettet1. okt. 2009 · Moving mesh methods have been of much success in the simulation of blowup in reaction–diffusion equations with stationary nonlinear heat source. The first … plastic lids for microwaveNettet1. aug. 2009 · In this paper we implement the moving mesh PDE method for simulating the blowup in reaction–diffusion equations with temporal and spacial nonlinear nonlocal terms. ... Moving mesh methods for problems with blow-up. SIAM J. Sci. Comput., 17 (1996), pp. 305-327. CrossRef View in Scopus Google Scholar [8] plastic lids for half gallon jarsNettet1. jun. 2012 · Since the uniform fixed spatial meshes may be inefficient, we adopt moving mesh partial differential equation (MMPDE) method to adapt the spatial mesh as the singularity develops. Combining... plastic lids for open top cansNettet31. aug. 2011 · More recently Ma et al. [ 8, 9] have used the moving mesh methods to numerically study blow-up in nonlocal reaction diffusion equations and partial integrodifferential equations in general. In this paper we will use the method of lines (MOLs) to solve ( 1.1 ). plastic lids for magma pots