3 papers
math.NA2016
A Hybrid Method and Unified Analysis of Generalized Finite Differences and Lagrange Finite Elements
Rebecca Conley, Xiangmin Jiao, Tristan J. Delaney
Finite differences, finite elements, and their generalizations are widely used for solving partial differential equations, and their high-order variants have respective advantages…
math.NA2015
OPINS: An Orthogonally Projected Implicit Null-space Method for Singular and Nonsingular Saddle-point Systems
Cao Lu, Tristan Delaney, Xiangmin Jiao
Saddle-point systems appear in many scientific and engineering applications. The systems can be sparse, symmetric or nonsymmetric, and possibly singular. In many of these applicati…
math.NA2015
Overcoming Element Quality Dependence of Finite Elements with Adaptive Extended Stencil FEM (AES-FEM)
Rebecca Conley, Tristan J. Delaney, Xiangmin Jiao
The finite element methods (FEM) are important techniques in engineering for solving partial differential equations, but they depend heavily on element shape quality for stability…