Browsing by Author "Pasciak, Joseph"
Now showing items 1-9 of 9
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Ginting, Victor Eralingga (Texas A&M University, 2005-08-29)In this dissertation we develop and analyze numerical method to solve general elliptic boundary value problems with many scales. The numerical method presented is intended to capture the small scales effect on the ...
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Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi (SIAM Journal on Numerical Analysis, 2014)
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Hidajat, Realino Lulie (2009-05-15)This dissertation presents the Generalized Finite Element Method (GFEM) for the scalar Helmholtz equation, which describes the time harmonic acoustic wave propagation problem. We introduce several handbook functions for ...
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Jones, Nathan (2012-10-19)Many reaction mechanisms have been developed over the past few decades to predict flame characteristics. A detailed reaction mechanism can predict flame characteristics well, but at a high computational cost. The reason ...
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Kolev, Tzanio Valentinov (Texas A&M University, 2004-11-15)The modeling of electromagnetic phenomena described by the Maxwell's equations is of critical importance in many practical applications. The numerical simulation of these equations is challenging and much more involved ...
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Ji, Bingbing (2017-11-30)In order to find the first few unconstrained saddles of functionals with different types of variational structures, a new local minimax method (LMM), based on a dynamics of points on virtual geometric objects such as curves, ...
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Zhou, Zhi (2015-07-09)This thesis is devoted to theoretical and experimental justifications of numerical methods for fractional differential equations, which have received significant attention over the past decades due to their extraordinary ...
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Dobrev, Veselin Asenov (2009-05-15)We consider algorithms for preconditioning of two discontinuous Galerkin (DG) methods for second order elliptic problems, namely the symmetric interior penalty (SIPG) method and the method of Baumann and Oden. For the SIPG ...
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Thompson, Travis Brandon (2013-07-19)The incompressible Navier-Stokes equations have proven formidable for nearly a century. The present difficulties are mathematical and computational in nature; the computational requirements, in particular, are exponentially ...