Gradient schemes for linear and non-linear elasticity equations

Title: Gradient schemes for linear and non-linear elasticity equations
Creator: Droniou, Jérôme; Lamichhane, Bishnu P.
Relation: Numerische Mathematik Vol. 129, Issue 2, p. 251-277
Publisher Link: http://dx.doi.org/10.1007/s00211-014-0636-y
Publisher: Springer
Resource Type: journal article
Date: 2015
Description: The gradient scheme framework provides a unified analysis setting for many different families of numerical methods for diffusion equations. We show in this paper that the gradient scheme framework can be adapted to elasticity equations, and provides error estimates for linear elasticity and convergence results for non-linear elasticity. We also establish that several classical and modern numerical methods for elasticity are embedded in the gradient scheme framework, which allows us to obtain convergence results for these methods in cases where the solution does not satisfy the full H2-regularity or for non-linear models.
Subject: gradient scheme; diffusion equations; elasticity equations; convergence results
Identifier: http://hdl.handle.net/1959.13/1327646
Identifier: uon:25711
Identifier: ISSN:0029-599X
Language: eng
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