Flexible finite‐difference stencils from isoparametric finite elements | Zendy

Frey William H. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Flexible finite‐difference stencils from isoparametric finite elements

Author(s) -

Frey William H.

Publication year - 1977

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620111103

Subject(s) - stencil , curvilinear coordinates , finite difference , mathematics , finite difference coefficient , finite difference method , grid , regular grid , finite element method , partial differential equation , context (archaeology) , mathematical analysis , generalization , polygon mesh , boundary value problem , geometry , mixed finite element method , computational science , paleontology , physics , biology , thermodynamics

A new finite‐difference technique for the numerical solution of boundary value problems for partial differential equations in two space variables is described. Isoparametric finite elements are used in a finite‐difference context to derive difference approximations to space derivatives on a locally curvilinear grid. The result is a generalization of a classical finite‐difference stencil which is ‘flexible’ in that it is adaptable to variable meshes, such as those arising from regions with curved boundaries. Numerical results presented for a test problem (potential flow past a circle) using a 9 × 10 grid agree with the analytic solution to within one per cent.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research