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Showing 1 to 14 of 14 for “"layer potential"”.
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Layer potential evaluations on distributed memory machines
… partial differential equations is evaluating layer potentials with singular kernels. Quadrature by Expansion (QBX) is a quadrature method to evaluate such layer potentials accurately for targets near or on the source boundary, by forming expansions in the high-accuracy region away from the …
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High-order numerical methods for layer potential evaluation
… of elliptic partial differential equations. Layer potentials play a central role in the integral equation formulation of boundary value problems. However, the numerical evaluation of layer potentials presents significant practical challenges associated with issues of singular/near-singular …
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Articles on Potential Theory, Functional Analysis and Hankel Forms
… in J. Anal. Math., (2012). The boundary double layer potential, or the Neumann-Poincaré operator, is studied on the Sobolev space of order $1/2$ along the boundary, coinciding with the space of charges giving rise to double layer potentials with finite energy in the whole space. Poincaré's …
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Surface Coverage and Structure of Catalytic Monolayers on Au(111) Electrodes
… $\alpha$-dodecatungstosilicate anion, which has potential applications in catalysis and corrosion inhibition, indicate that it binds to the Au(111) electrode throughout the double layer potential region. At positive potentials, it delays the onset of gold oxide formation. At extreme negative …
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An analysis of Atlantic Water in the Arctic Ocean using the Arctic Subpolar Gyre State Estimate and observations
The Atlantic Water (AW) Layer in the Arctic Subpolar gyre sTate Estimate (ASTE), a regional, medium-resolution coupled ocean-sea ice state estimate, is analyzed for the first time using bounding isopycnals. A surge of AW, marked by rapid increases in mean AW Layer potential temperature and AW Layer …
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An analysis of Atlantic water in the Arctic Ocean using the Arctic Subpolar gyre state estimate and observations
The Atlantic Water (AW) Layer in the Arctic Subpolar gyre sTate Estimate (ASTE), a regional, medium-resolution coupled ocean-sea ice state estimate, is analyzed for the first time using bounding isopycnals. A surge of AW, marked by rapid increases in mean AW Layer potential temperature and AW Layer …
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Under confinement : molecular dynamics investigations of ions and molecules in nanopores and at nanoscale interfaces.
… correlation between current computed and applied potential was observed with pores comparable to solvated ion dimension, owing to significant energy penalties for ion entry. Ion density and solvation, along with the orientation of water molecules in charged and uncharged pristine nanotubes were …
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The 1-dimensional [lambda]-self shrinkers in R² and the nodal sets of biharmonic Steklov problems
… measure of the nodal set. In chapter 4, we use layer potential to establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both the measure of boundary nodal sets and interior nodal sets for biharmonic …
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Direct Force Measurements on the Colloidal Scale: From Modified Electrodes to Particle Manipulation
… of an electrode modified with an organic layer. In particular the adhesion and ion adsorption have been studied, which are ubiquitous phenomena in the colloid science, electrochemistry, and biology. Moreover, a novel technique has been developed to fabricate chemically and mechanically …
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Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions
… solutions in terms of single and double layer potentials, establishing a mixed Rellich inequality, and applying functional analytic arguments to solve a two-by-two system of equations. These results are then extended to allow Robin data in place of Neumann data. This thesis also …
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A Technique for Solving the Singular Integral Equations of Potential Theory
<p>The singular integral equations of Potential Theory are investigated using ideas from both classical and contemporary mathematics. The goal of this semi-analytic approach is to produce numerical schemes that are both general and computationally simple. Previous works based on classical methods …
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Sound field reproduction
… mathematically<br/>represented by a single layer potential, whose density is to be determined. The singular value decomposition of the integral operator involved is proposed as a method for solving the inverse problem. Closed form expressions are derived for the singular system for …
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High-order hybrid methods using Green's functions and finite elements
… methods are designed to compute quantities (e.g. potentials or forces) that are sums of discrete Green's functions and represent the effects of N interacting bodies. To avoid an N^2 operation when the quantity is desired at all body locations (as is often the case), P3M methods decompose the …
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Surface characterization of self-assembled monolayers for applications of selective ionic transport through nanoporous membranes
… membranes to water desalination. For thin double layers, the volumetric flow ratio (VFR) between electroosmosis and pressure driven flow is inversely proportional to 1⁄r^2 , indicating the advantages of utilizing electrokinetics for systems with small characteristics length scales. Bare solid …