Moving mesh methods for problems with blow-up
Nettet1. okt. 2009 · In this paper moving mesh methods are used to simulate the blowup in a reaction–diffusion equation with traveling heat source. The finite-time blowup occurs if … 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...
Moving mesh methods for problems with blow-up
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Nettet1. mar. 2008 · (1) is difficult due to the moving singularity and also because the blow-up phenomenon will happen in small spatial and temporal scales. The moving mesh PDF (MMPDE) method developed in... 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
Nettet15. jan. 2008 · Moving mesh method in the last decade was used for solving time-dependent PDEs with large variation in solutions widely. For solving such equations, … NettetINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluids 2004; 00:1–6 Prepared using fldauth.cls [Version: 2002/09/18 v1.01] A Moving Mesh Finite Element Algorithm for Fluid Flow Problems with Moving Boundaries M. J. Baines1, M. E. Hubbard2,∗ and P. K. Jimack2
NettetIt is shown that for suitable ones the MMPDE solution evolves towards a (moving) mesh which close to the blow-up point automatically places the mesh points in such a manner that the ignition kernel, which is well known to be a natural coordinate in ... Keyphrases mesh method different choice Nettet1. jun. 2012 · Moving mesh methods based on moving mesh partial differential equations Numerical analysis of semilinear parabolic problems with blow-up solutions …
NettetThe other essential difficulty is the character of blow-up in finite time. Since the singularity of blow-up contains large variations in small length scales, the numerical methods to reproduce such singularity behavior with uniform mesh diminish its accuracy significantly. The moving mesh partial differential equations (MMPDEs) method has
Nettet1. aug. 2014 · Moving mesh methods are adaptive techniques for solving partial differential equations (PDEs) where the grid evolves to improve the approximation to … citcle around emoji snapNettet29. sep. 1995 · In this paper, we give a short review of the moving mesh methods based upon moving mesh PDEs, including a brief description of a new moving collocation … citb gov.ukNettet20. aug. 2015 · This article describes a number of velocity-based moving mesh numerical methods for multidimensional nonlinear time-dependent partial differential equations (PDEs). It consists of a short historical review followed by a detailed description of a recently developed multidimensional moving mesh finite element method based on … cite a drug monographNettetIt is a challenging numerical problem to capture the qualitative behaviour in the blow-up region, and the use of nonuniform meshes is essential. We consider moving mesh … cita zivotinjaNettet24. sep. 1998 · Current work on the computation of blow-up solutions in parabolic problems (1.1)-(1.3) focuses on moving mesh methods (dynamic regridding) in which the spatial mesh is generated by appro- priately chosen moving mesh PDEs (see, for example, [64-67]). cite a\u0026p john updikeNettetThe whole computational domain consisted of moving meshes and fixed meshes that were matched with interfaces in the model. The moving part was meshed into hybrid … cite jedaidaNettetWe 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 … cite anime koroko basket