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Joseph E. Flaherty

Researcher at Rensselaer Polytechnic Institute

Publications -  119
Citations -  5075

Joseph E. Flaherty is an academic researcher from Rensselaer Polytechnic Institute. The author has contributed to research in topics: Finite element method & Mesh generation. The author has an hindex of 41, co-authored 119 publications receiving 4864 citations. Previous affiliations of Joseph E. Flaherty include United States Department of the Army & University of Utah.

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Journal ArticleDOI

A rational function approximation for the integration point in exponentially weighted finite element methods

TL;DR: In this article, a rational function is presented for approximating the function f(z) = coth z - 1/z that appears in several exponentially fitted or weighted finite difference and finite element methods for convection-diffusion problems.

Adaptive Mesh Experiments for Hyperbolic Partial Differential Equations

TL;DR: Experiments were conducted on mesh moving and local mesh refinement algorithms that are used with a finite difference scheme to solve initial-boundary value problems for vector systems of hyperbolic partial differential equations in one dimension to gauge their effectiveness in solving one-dimensional problems.
Proceedings ArticleDOI

Investigation of turbulent melt flow in a crystal growth system

TL;DR: Melt flows associated with a Czochralski crystal growth process was investigated to better understand the transition from a steady laminar regime to an unsteady one as the Grashof number increases, and suggested the Reynolds quasi-steady assumption is valid.
Book ChapterDOI

Adaptive Methods for Parabolic Partial Differential Equations with Applications to Shear Band Formation

TL;DR: Adaptive methods for solving partial differential equations selectively and recursively “enriches” solutions until prescribed accuracy criteria have been satisfied to address a variety of problems involving steady and transient systems.