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

abstract

• 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. Hpadaptivity 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 Hermes2D code and numerical results are presented for the SP3 equations. Taylor & Francis Group, LLC.

authors

• Ragusa, Jean

published proceedings

• TRANSPORT THEORY AND STATISTICAL PHYSICS

author list (cited authors)

• Ragusa, J. C.

citation count

• 6

complete list of authors

• Ragusa, Jean C

publication date

• March 2010

publisher

• Taylor & Francis  Publisher

keywords

• Adaptive Mesh Refinement
• Hp-adaptivity
• Sp3 Equations

Digital Object Identifier (DOI)

• 10.1080/00411450.2010.533743

start page

• 234

end page

• 254

volume

• 39

issue

• 2-4

URL

• http://dx.doi.org/10.1080/00411450.2010.533743