Anisotropic mesh adaptation for finite element solution of Anisotropic Porous Medium Equation
نویسندگان
چکیده
منابع مشابه
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems
Heterogeneous anisotropic diffusion problems arise in the various areas of science and engineering including plasma physics, petroleum engineering, and image processing. Standard numerical methods can produce spurious oscillations when they are used to solve those problems. A common approach to avoid this difficulty is to design a proper numerical scheme and/or a proper mesh so that the numeric...
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Anisotropic diffusion problems arise in many fields of science and engineering and are modeled by partial differential equations (PDEs) or represented in variational formulations. Standard numerical schemes can produce spurious oscillations when they are used to solve those problems. A common approach is to design a proper numerical scheme or a proper mesh such that the numerical solution satis...
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We present a new technology for generating meshes minimizing the interpolation and discretization errors or their gradients. The key element of this methodology is construction of a space metric from edge-based error estimates. For a mesh with Nh triangles, the error is proportional to N −1 h and the gradient of error is proportional to N −1/2 h which are the optimal asymptotics. The methodolog...
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Mesh generation and algebraic solver are two important aspects of the finite element methodology. In this article, we are concerned with the joint adaptation of the anisotropic triangular mesh and the iterative algebraic solver. Using generic numerical examples pertaining to the accurate and efficient finite element solution of some anisotropic problems, we hereby demonstrate that the processes...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2018
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2017.08.005