Abstract
This paper develops a set of adaptive surface mesh equations by using a harmonic morphism, which is a special case of a harmonic map. These equations are applicable both to structured and unstructured surface meshes, provided that the underlying surface is given in a parametric form. By representing the target metric of the mesh as a sum of a coarse-grained component and a component quadratic in surface gradients, an improved surface mesh may be obtained. The weak form of the grid equations is solved using the finite element approximation, which reduces the grid equations to a nonlinear, algebraic set. Examples of structured and unstructured meshes are used to illustrate the applicability of the proposed approach.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.