APPLICATION OF h-, p-, and hp-MESH ADAPTATION TECHNIQUES TO THE SP3 EQUATIONS

作者：Ragusa Jean C^*

来源：Transport Theory and Statistical Physics, 2010, 39(2-4): 234-254.

DOI：10.1080/00411450.2010.533743

• Adaptive mesh refinement
• SP3 equations
• hp-adaptivity

This paper is devoted to the application of isotropic and anisotropic mesh adaptivity techniques to the SP3 equations. We compare uniform refinements, h-, p-, and hp-adaptivity techniques. h-versions only refine the mesh cells whereas p-versions increase locally the polynomial order of the approximation. hp-adaptivity combines both techniques but requires more knowledge regarding the shape of the error. The hp-finite element method (hp-FEM) generates a sequence of adapted meshes by either performing h-or p-refinements, based upon which choice is locally more efficient. At each adaptivity step, a pair of coarse/fine adapted meshes is employed to compute the local error and to determine the next adapted mesh that best minimizes the projection-based interpolation error. The implementation of the various hp-strategies analyzed is performed with the hp-FEM Hermes 2D code and numerical results are presented for the SP3 equations.

• 出版日期2010