Boundary integral equations
VG Maz'ya - Analysis IV: Linear and Boundary Integral Equations, 1991 - Springer
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On the integral equation method for the plane mixed boundary value problem of the Laplacian
Although the plane boundary value problem for the Laplacian with given Dirichlet data on
one part Γ2 and given Neumann data on the remaining part Γ2 of the boundary is the …
one part Γ2 and given Neumann data on the remaining part Γ2 of the boundary is the …
Boundary element methods and their asymptotic convergence
WL Wendland - Theoretical acoustics and numerical techniques, 1983 - Springer
Nowadays the most popular numerical methods for solving elliptic boundary value problems
are finite differences, finite elements and, more recentlv, boundary element methods. The …
are finite differences, finite elements and, more recentlv, boundary element methods. The …
On Neumann's method for the exterior Neumann problem for the Helmholtz equation
RE Kleinman, WL Wendland - Journal of Mathematical …, 1977 - ui.adsabs.harvard.edu
Neumann's classical iteration method is used to construct solutions of the exterior Neumann
problem for the Helmholtz equation for small wavenumbers and a general class of boundary …
problem for the Helmholtz equation for small wavenumbers and a general class of boundary …
Geometric Harmonic Analysis IV
D Mitrea, I Mitrea, M Mitrea - 2022 - Springer
The Developments in Mathematics (DEVM) book series is devoted to publishing well-written
monographs within the broad spectrum of pure and applied mathematics. Ideally, each book …
monographs within the broad spectrum of pure and applied mathematics. Ideally, each book …
On the double layer potential
WL Wendland - … , Partial Differential Equations and Applications: The …, 2009 - Springer
Neumann's classical integral equation with the double layer potential operator is considered
on different spaces of boundary charges, such as continuous data, L2 (Γ) and energy trace …
on different spaces of boundary charges, such as continuous data, L2 (Γ) and energy trace …
Boundary integral equations for the Helmholtz equation: The third boundary value problem
TS Angell, RE Kleinman… - Mathematical Methods in …, 1982 - Wiley Online Library
In this paper we study the application of boundary integral equation methods for the solution
of the third, or Robin, boundary value problem for the exterior Helmholtz equation. In …
of the third, or Robin, boundary value problem for the exterior Helmholtz equation. In …
Ein verfahren zur losung von (△ + k2)u = 0 in aussengebieten
C Ruland - Applicable Analysis, 1978 - Taylor & Francis
Dabei sind a (x, yj, b (x? y) in der Variablen x ES steiig und in der Variablen YE S derart
stiickweise stetig, dalj fiir y= P,, i= 1,... m endliche Sprunge auftreten. Der Kern (2.3) …
stiickweise stetig, dalj fiir y= P,, i= 1,... m endliche Sprunge auftreten. Der Kern (2.3) …
Remarks on some notions of weak solutions for the Helmholtz equation
A Kirsch - Applicable Analysis, 1992 - Taylor & Francis
Remarks on Some Notions of Weak Solutions for the Helmholtz Equation Page 1 Applicable
Annlysis, Vol. 47. pp. 7-24 Reprints available directly from the publisher Photocopying permitted …
Annlysis, Vol. 47. pp. 7-24 Reprints available directly from the publisher Photocopying permitted …
On the characterization of the Fréchet derivative with respect to a Lipschitz domain of the acoustic scattered field
R Djellouli, C Farhat - Journal of mathematical analysis and applications, 1999 - Elsevier
In this paper, we consider the Fréchet differentiability with respect to a given domain of the
solution of direct acoustic scattering problems with sound-soft, sound-hard, or lossy …
solution of direct acoustic scattering problems with sound-soft, sound-hard, or lossy …