Unstructured, curved elements for the two-dimensional high order discontinuous control-volume/finite-element method

作者：Stipcich G^*; Piller M

来源：International Journal for Numerical Methods in Engineering, 2015, 102(1): 22-43.

DOI：10.1002/nme.4844

• discontinuous method
• curved elements
• finite volume
• finite element
• hybrid
• spectral method
• mapping

Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discontinuous, hybrid control-volume/finite-element method for elliptic problems. In order to accommodate hybrid meshes, encompassing both triangular and quadrilateral elements, one single mapping is used. The scheme is applied to two-dimensional problems with discontinuous, anisotropic diffusion coefficients, and the exponential convergence of the method is verified in the presence of curved geometries.

• 出版日期2015-4-6