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Journal of Scientific Computing

Erschienen in:

20.09.2017

A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form

verfasst von: Ming-Jun Lai, Chunmei Wang

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2018

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Abstract

A bivariate spline method is developed to numerically solve second order elliptic partial differential equations in non-divergence form. The existence, uniqueness, stability as well as approximation properties of the discretized solution will be established by using the well-known Ladyzhenskaya–Babuska–Brezzi condition. Bivariate splines, discontinuous splines with smoothness constraints are used to implement the method. Computational results based on splines of various degrees are presented to demonstrate the effectiveness and efficiency of our method.

Vorheriger Artikel A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form

Nächster Artikel Divergence-Free H(div)-FEM for Time-Dependent Incompressible Flows with Applications to High Reynolds Number Vortex Dynamics

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Titel: A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form
verfasst von: Ming-Jun Lai
Chunmei Wang
Publikationsdatum: 20.09.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0562-0

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