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Analysis of a dislocation model for earthquakes
Jing Liu, Xin Yang Lu, Noel J Walkington
Approximation of problems in linear elasticity having small shear modulus in a thin region is considered. Problems of this type arise when modeling ground motion due to earthquakes…
Stability and Convergence of HDG Schemes under Minimal Regularity
Jiannan Jiang, Noel J. Walkington, Yukun Yue
Convergence and compactness properties of approximate solutions to elliptic partial differential computed with the hybridized discontinuous Galerkin (HDG) are established. While it…
A new reduced order model of linear parabolic PDEs
Noel Walkington, Franziska Weber, Yangwen Zhang
How to build an accurate reduced order model (ROM) for multidimensional time dependent partial differential equations (PDEs) is quite open. In this paper, we propose a new ROM for…
Numerical Approximation of Nonlinear SPDE's
Martin Ondrejat, Andreas Prohl, Noel Walkington
The numerical analysis of stochastic parabolic partial differential equations of the form is surveyed, where is a partial operator and a…