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math.NA2017
A Coupling Approach for Linear Elasticity Problems with Spatially Noncoincident Interfaces
Pavel Bochev, James Cheung, Max Gunzburger +1
We present a new formulation based on the classical Dirichlet-Neumann formulation for interface coupling problems in linearized elasticity. By using Taylor series expansions, we de…
math.NA2017
Optimally accurate higher-order finite element methods on polytopial approximations of domains with smooth boundaries
James Cheung, Mauro Perego, Pavel Bochev +1
Meshing of geometric domains having curved boundaries by affine simplices produces a polytopial approximation of those domains. The resulting error in the representation of the dom…
math.NA2017
An Optimally Convergent Coupling Approach for Interface Problems Approximated with Higher-Order Finite Elements
Pavel Bochev, James Cheung, Max Gunzburger +1
In this paper, we present a new numerical method for determining the numerical solution of interface problems to optimal accuracy with respect to the polynomial order of the Lagran…