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Numerical modeling of wave attenuation at Uluwatu Beach Bali by submerged breakwaters using a new finite element method^. [PDF]

MethodsX
Swastika PV, Dharmawan K, Gautama IPW, Pudjaprasetya SR, Wiryanto LH, Gopal V.   +5 more
europepmc   +1 more source

Race-Free Equations and Cardiovascular Risk Assessment: Much Ado About Something. [PDF]

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Mensah GA.
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Boundary Integral Equations

Encyclopaedia of Mathematical Sciences, 1991
This article is devoted to boundary integral equations and their application to the solution of boundary and initial-boundary value problems for partial differential equations.
V G Maz'Ya
exaly   +2 more sources

Preconditioning for Boundary Integral Equations

SIAM Journal on Matrix Analysis and Applications, 1992
New classes of preconditioners are proposed for the linear systems arising from a boundary integral equation method. The problem under consideration is Laplace’s equation in three dimensions. The system arising in this context is dense and unsymmetric.
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Boundary Integral Equations

2001
In Chapter 10, we examined finite element methods for the numerical solution of Laplace's equation. In this chapter, we propose an alternative approach. We introduce the idea of reformulating Laplace's equation as a boundary integral equation (BIE), and then we consider the numerical solution of Laplace's equation by numerically solving its ...
Kendall Atkinson, Weimin Han
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The Boundary Integral Equations

2019
In this chapter it is shown how differential equations are transferred into integral equations. The differential equations considered range from flow problems to elasticity. Fundamental solutions are also presented.
Gernot Beer, Benjamin Marussig, Christian Duenser   +2 more
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Sparse grids for boundary integral equations

Numerische Mathematik, 1999
The paper focuses on sparse grid discretizations for boundary integral equations applied to a 2-D unit square embedded in \(\mathbb{R}^3\). Important aspects such as approximating rates, preconditioning, aspectivity and compressions are discussed theoretically and also illustrated in some numerical tests, including piecewise constant and linear ...
Michael Griebel, Peter Oswald, Thomas Schiekofer   +2 more
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