Lewis, Thomas

uncg

There are 2 item/s.

TitleDateViewsBrief Description
Narrow-stencil finite difference methods for linear second order elliptic problems of non-divergence form 2021 283 This thesis presents a class of narrow-stencil finite difference methods for approximating the viscosity solution of second-order linear elliptic Dirichlet boundary value problems. The methods are simple to motivate and implement. This thesis proves ...
Symmetric dual-wind discontinuous Galerkin methods for elliptic variational inequalities 2020 332 The main goal of this dissertation is to formulate and analyze a dual wind discontinuous Galerkin method for approximating solutions to elliptic variational inequalities. A discontinuous Galerkin (DG) finite-element interior calculus is used as a com...