209 citations · 549 across the 39 of their papers we have counts for
5 papers · 1 filter
Peridynamics and Material Interfaces
Bacim Alali, Max Gunzburger
The convergence of a peridynamic model for solid mechanics inside heterogeneous media in the limit of vanishing nonlocality is analyzed. It is shown that the operator of linear per…
Power-Law Noises over General Spatial Domains and on Non-Standard Meshes
Hans-Werner van Wyk, Max Gunzburger, John Burkardt +1
Power-law noises abound in nature and have been observed extensively in both time series and spatially varying environmental parameters. Although, recent years have seen the extens…
Optimal Point Sets for Total Degree Polynomial Interpolation in Moderate Dimensions
Max Gunzburger, Aretha L Teckentrup
This paper is concerned with Lagrange interpolation by total degree polynomials in moderate dimensions. In particular, we are interested in characterising the optimal choice of poi…
A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data
Aretha L. Teckentrup, Peter Jantsch, Clayton G. Webster +1
Stochastic collocation methods for approximating the solution of partial differential equations with random input data (e.g., coefficients and forcing terms) suffer from the curse…
A Generalized Nonlocal Calculus with Application to the Peridynamics Model for Solid Mechanics
Bacim Alali, Kuo Liu, Max Gunzburger
A nonlocal vector calculus was introduced in [2] that has proved useful for the analysis of the peridynamics model of nonlocal mechanics and nonlocal diffusion models. A generaliza…