Practical Aspects of Formulation and Solution of Moving Mesh Partial Diierential Equations
نویسنده
چکیده
Moving mesh partial diierential equations (MMPDEs) are used in the MMPDE moving mesh method to generate adaptive moving meshes for the numerical solution of time dependent problems. How MMPDEs are formulated and solved is crucial to the eeciency and robustness of the method. In this paper, several practical aspects of formulating and solving MMPDEs are studied. They include spatial balance, scaling invariance, bounds on time steps, multiple sub-steps, and two-level mesh movement. Numerical results are also given.
منابع مشابه
Practical Aspects of Formulation and Solutionof Moving Mesh Partial Differential Equations
Moving mesh partial differential equations (MMPDEs) are used in the MMPDE moving mesh method to generate adaptive moving meshes for the numerical solution of time dependent problems. How MMPDEs are formulated and solved is crucial to the efficiency and robustness of the method. In this paper, several practical aspects of formulating and solving MMPDEs are studied. They include spatial balance, ...
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تاریخ انتشار 1999