Results 271 to 280 of about 593,564 (351)

Preconditioning for Boundary Integral Equations

SIAM Journal on Matrix Analysis and Applications, 1992
This paper discusses three alternative preconditioning techniques to solve 3-D, mixed boundary conditions, Laplace equation problems. The direct boundary element equations are tested in conjunction with three iterative solution methods; namely, conjugate gradient on the normal equations, CGS of \textit{P. Sonneveld} [SIAM J. Sci. Stat. Comput.
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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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Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method

Engineering Analysis With Boundary Elements, 2010
Mehdi Dehghan
exaly   +2 more sources

Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein–Gordon equation

Computer Physics Communications, 2010
Mehdi Dehghan
exaly   +2 more sources

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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Boundary Conditions for Multidimensional Integrable Equations

Functional Analysis and Its Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes

Computer Physics Communications, 2009
Mehdi Dehghan, Davoud Mirzaei
exaly   +2 more sources