L
L. Ridgway Scott
Researcher at University of Chicago
Publications - 101
Citations - 12404
L. Ridgway Scott is an academic researcher from University of Chicago. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 27, co-authored 97 publications receiving 11467 citations. Previous affiliations of L. Ridgway Scott include Brookhaven National Laboratory & University of Houston.
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The Mathematical Theory of Finite Element Methods
TL;DR: In this article, the construction of a finite element of space in Sobolev spaces has been studied in the context of operator-interpolation theory in n-dimensional variational problems.
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Finite element interpolation of nonsmooth functions satisfying boundary conditions
L. Ridgway Scott,Shangyou Zhang +1 more
TL;DR: In this article, a modified Lagrange type interpolation operator is proposed to approximate functions in Sobolev spaces by continuous piecewise polynomials, and the combination of averaging and interpolation is shown to be a projection, and optimal error estimates are proved for the projection error.
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Electrostatics and diffusion of molecules in solution: simulations with the University of Houston Brownian dynamics program
Jeffry D. Madura,James M. Briggs,Rebecca C. Wade,Malcolm E. Davis,Brock A. Luty,Andrew Ilin,J. Antosiewicz,Michael K. Gilson,Babak Bagheri,L. Ridgway Scott,J. Andrew McCammon +10 more
TL;DR: A general-purpose Brownian dynamics program that has been developed at the University of Houston is described in this paper, where the diffusion of flexible chains is modeled by the finite difference solutions of the linearized Poisson-Boltzmann equation.
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Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
Rolf Rannacher,L. Ridgway Scott +1 more
TL;DR: In this paper, it was shown that the Ritz projection onto spaces of piecewise linear finite elements is bounded in the Sobolev space, Wl, for 2 - p < oc.
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