Results 231 to 240 of about 3,234,210 (272)

Boundary integral equation analysis on the sphere

Numerische Mathematik, 2014
This work was supported in part by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 and by the Department of Energy under contract DEFGO288ER25053. This work was supported also by the Spanish Ministry of Science and Innovation (Ministerio de Ciencia e Innovacion) under ...
Felipe Vico, Leslie Greengard, Zydrunas Gimbutas   +2 more
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Boundary Conditions for Multidimensional Integrable Equations

Functional Analysis and Its Applications, 2004
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Khabibullin, I. T., Gudkova, E. V.
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Method of Boundary Integral Equations with Hypersingular Integrals in Boundary-Value Problems

Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parabolic Problems and Boundary Integral Equations

Mathematical Methods in the Applied Sciences, 1997
Let \(\mathbb{R}^{n+1}_+= \{(x,t): x\in\mathbb{R}^n, t\in(0,+\infty)\}\) and let \[ \partial u/\partial t-\sum^n_{i,j=1} a_{ij}(x,t)\partial^2u/\partial x_i\partial x_j+ \sum^n_{i=1} a_i(x,t)\partial u/\partial x_i+a_0(x,t)u=0\tag{\(*\)} \] be a linear, uniformly parabolic equation in \(\mathbb{R}^{n+1}_+\).
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WAVELET METHODS FOR BOUNDARY INTEGRAL EQUATIONS

Communications in Numerical Methods in Engineering, 1997
The author describes a recent application of the wavelet idea to the boundary integral equation of the two-dimensional direct boundary element formulation of the Laplace equation. The results for two simple problems are also included to illustrate the expected accuracy obtained with the procedure.
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Unified boundary integral equation and unified boundary element equation

IEEE Transactions on Magnetics, 1990
Using functional analysis, a generalized operator equation is devised to describe almost all the boundary-value problems of various physical disciplines such as electrodynamics, solid mechanics, fluid mechanics, thermodynamics, etc. From the generalized operator equation, a unique unified boundary integral equation is developed which represents almost ...
null Yuan Jiansheng, null Xie Xi, null Shao Hanguang   +2 more
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Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

SIAM Review, 1974
The relation between various boundary integral equation formulations of Dirichlet and Neumann problems for the three-dimensional Helmholtz equation is clarified. The integral equations derived using single or double layer distributions as well as those based on the Helmholtz representation using an unmodified free space Green’s function are presented ...
Kleinman, R. E., Roach, G. F.
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Numerical Integration of the Boundary-Layer Equations

2000
Numerical solutions of the boundary–layer equations are based on the assumption that the differential expressions in the partial differential equations can be approximated by difference expressions. This approximation, called discretisation can be obtained from a series expansion for the velocity components in the coordinate directions.
Hermann Schlichting, Klaus Gersten
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A Boundary Integral Equation Approach to Oxidation Modeling

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1985
Thermal oxidation of silicon involves the diffusion of oxidant molecules from the gas-oxide interface to the oxide-silicon interface, and the transport of newly formed oxide away from the latter. Under suitable formulations these two processes can be shown to be boundary-value problems of harmonic and biharmonic nature.
Thye-Lai Tung, Dimitri A. Antoniadis
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Boundary Integral Equations

1983
This chapter is concerned with the introduction of the basic integral equations for two-dimensional elastic linear material problems. It starts by briefly reviewing the partial differential equations for linear elastic material and introducing the necessary notations involved in the formulation.
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