Results 51 to 60 of about 345,546 (151)
Estimation of quadrature errors in layer potential evaluation using quadrature by expansion
, 2016 In boundary integral methods it is often necessary to evaluate layer potentials on or close to the boundary, where the underlying integral is difficult to evaluate numerically. Quadrature by expansion (QBX) is a new method for dealing with such integrals,
Klinteberg, Ludvig af +1 more
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Fast algorithms for Quadrature by Expansion I: Globally valid expansions
, 2017 The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer potential integral operators with singular kernels, and fast algorithms for ...
Klöckner, Andreas +2 more
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A mathematical model for a steady-state seepage flow of groundwater under a reinforced concrete dam
Applied Computing and Geosciences, 2019 A numerical technique is applied to solve a biharmonic equation problem of a steady-state seepage flow of water through a thin layer of soil, under an impermeable dam.
Miltiades C. Elliotis
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An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
, 2020 We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discretization of the system in time using convex splitting leads to a modified
Jiang, Shidong +3 more
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Adaptive Non-singular Terminal Sliding Mode Control for DC-DC Converters
Advances in Electrical and Computer Engineering, 2011 DC-DC converters have some inherent characteristics such as high nonlinearity and time-variation, which often result in some difficulties in designing control schemes.
YU, Y., FAN, L.
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Archives of Mechanics, 2016 In the present paper the linear theory of viscoelasticity for Kelvin–Voigt materials with double porosity is considered. Some basic properties of plane harmonic waves are established and the boundary value problems (BVPs) of steady vibrations are ...
M.M. Svanadze
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A Hybrid Boundary Element Method for Elliptic Problems with Singularities
, 2010 The singularities that arise in elliptic boundary value problems are treated locally by a singular function boundary integral method. This method extracts the leading singular coefficients from a series expansion that describes the local behavior of the ...
Boudouvis, Andreas G. +2 more
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Analysis of the diffuse-domain method for solving PDEs in complex geometries
, 2015 In recent work, Li et al.\ (Comm.\ Math.\ Sci., 7:81-107, 2009) developed a diffuse-domain method (DDM) for solving partial differential equations in complex, dynamic geometries with Dirichlet, Neumann, and Robin boundary conditions.
Lervåg, Karl Yngve, Lowengrub, John
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Reviving the Method of Particular Solutions [PDF]
, 2003 Fox, Henrici and Moler made famous a "Method of Particular Solutions" for computing eigenvalues and eigenmodes of the Laplacian in planar regions such as polygons.
Betcke, Timo, Trefethen, Lloyd N.
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Neumann Homogenization via Integro-Differential Operators, Part 2: singular gradient dependence
, 2018 We continue the program initiated in a previous work, of applying integro-differential methods to Neumann Homogenization problems. We target the case of linear periodic equations with a singular drift, which includes (with some regularity assumptions ...
Guillen, Nestor, Schwab, Russell W.
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