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Paul P. Lynn
Researcher at University of Colorado Boulder
Publications - 11
Citations - 439
Paul P. Lynn is an academic researcher from University of Colorado Boulder. The author has contributed to research in topics: Finite element method & Extended finite element method. The author has an hindex of 9, co-authored 11 publications receiving 435 citations.
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Transition elements to be used with quarter-point crack-tip elements
TL;DR: In this article, a generalization of the (r−1/2) strain or stress singularity capability of the quadratic isoparametric element is presented, by variable placement of the side-nobe between quarter- and mid-point.
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Use of the least squares criterion in the finite element formulation
Paul P. Lynn,Santosh K. Arya +1 more
TL;DR: In this article, a method of reducing the original governing differential equation to a set of equivalent system of first-order differential equations is proposed to overcome the high degree of inter-element continuity.
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Infinite elements with 1/rn type decay
Paul P. Lynn,Hassoun A. Hadid +1 more
TL;DR: In this paper, a method of developing a family of 1/rn type infinite elements for the analysis of problems definite in unbounded media is presented. But the use of the proposed infinite elements yields excellent results and preserves all the advantages of the finite element method.
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Finite elements formulated by the weighted discrete least squares method
Paul P. Lynn,Santosh K. Arya +1 more
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Least squares finite element analysis of laminar boundary layer flows
TL;DR: In this paper, a finite element formulation for viscous boundary layer flow problems is proposed, which is essentially a discrete element-wise minimization of square and weighted residuals which arise from the attempts in approximately satisfying boundary layer equations.