On the accuracy and convergence of conjugate flux approximations | Zendy

Rachowicz W. | Zendy; Oden J. Tinsley | Zendy

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On the accuracy and convergence of conjugate flux approximations

Author(s) -

Rachowicz W.,

Oden J. Tinsley

Publication year - 1989

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690050208

Subject(s) - mathematics , approximations of π , bilinear interpolation , piecewise , rate of convergence , piecewise linear function , convergence (economics) , polygon mesh , finite element method , mathematical analysis , conjugate , geometry , key (lock) , physics , economics , biology , economic growth , thermodynamics , ecology , statistics

We prove that the L 2 ‐projections of derivatives of piecewise bilinear or linear finite element approximations of smooth solutions of elliptic boundary‐value problems on the interior of uniform meshes, converge in L 2 and L ∞ at a rate faster than that of derivatives of the approximations themselves.

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