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Clint Dawson

Researcher at University of Texas at Austin

Publications -  187
Citations -  5035

Clint Dawson is an academic researcher from University of Texas at Austin. The author has contributed to research in topics: Finite element method & Discontinuous Galerkin method. The author has an hindex of 36, co-authored 181 publications receiving 4454 citations. Previous affiliations of Clint Dawson include University of Chicago & Rice University.

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Compatible algorithms for coupled flow and transport

TL;DR: This paper gives a definition of compatible flow and transport schemes, with emphasis on two popular types of transport algorithms, the streamline diffusion method and discontinuous Galerkin methods.
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A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation

TL;DR: In this article, a domain decomposition algorithm for numerically solving the heat equation in one and two space dimensions is presented, where interface values between subdomains are found by an explicit finite difference formula, and interior values are determined by backward differencing in time.
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A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations

TL;DR: In this paper, a two-level finite difference scheme for the approximation of nonlinear parabolic equations is presented, in which the full nonlinear problem is solved on a "coarse" grid of size H and an appropriate interpolation operator is used to provide values of the coarse grid solution on the fine grid in terms of superconvergent node points.
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Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry

TL;DR: An expanded mixed finite element method for solving second-order elliptic partial differential equations on geometrically general domains and is shown to be as accurate as the standard mixed method for a large class of smooth meshes.