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Fractional spatiotemporal Hahnfeldt tumor model with convergence analysis and optimal control. [PDF]

Sci Rep
Can E.
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Application of the Local Boundary Integral Equation Method to Boundary-Value Problems

International Applied Mechanics, 2002
Summary: In this paper a review of the meshless formulations is presented. The formulations are based on the method of local boundary integral equations (LBIE). Physical quantities are approximated by the method of moving least squares. A short account of the latest investigations is presented concerning the application of LBIE method in the potential,
Sladek, J., Sladek, V., Atluri, S. N.
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A Numerical Method for a System of Integral Equations Determining the Boundaries of Local Nonhomogeneities

Computational Mathematics and Modeling, 2020
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Golovina, S. G., Zakharov, E. V.
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Localized Galerkin Estimates for Boundary Integral Equations on Lipschitz Domains

SIAM Journal on Mathematical Analysis, 1992
This paper analyzes the Galerkin method applied to boundary integral equations associated with the Laplace operator on nonsmooth domains. The main purpose is: -- to show that variable meshsize still obtains the convergence of the Galerkin method. The product of the meshsize and a measure of the local curvature is required to tend to zero uniformly ...
Adolfsson, V., Goldberg, M., Jawerth, B., Lennerstad, H.   +3 more
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A Trefftz function approximation in local boundary integral equations

Computational Mechanics, 2002
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Sladek, J., Sladek, V.
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A local boundary integral equation method for potential problems

International Journal for Numerical Methods in Engineering, 1988
AbstractBoundary integral equation (boundary element) methods have the advantage over other commonly used numerical methods that they do not require values of the unknowns at points within the solution domain to be computed. Further benefits would be obtained if attention could be confined to information at one small part of the boundary, the ...
Fenner, R. T., Watson, J. O.
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Representation Formulae, Local Coordinates and Direct Boundary Integral Equations

2021
In order to generalize the direct approach for the reduction of more general boundary value problems to boundary integral equations than those presented in Chapters 1 and 2 we consider here the 2m{th order positive elliptic systems with real C∞–coefficients. We begin by collecting all the necessary machinery.
George C. Hsiao, Wolfgang L. Wendland
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Numerical integration of singularities in meshless implementation of local boundary integral equations

Computational Mechanics, 2000
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Sladek, V., Sladek, J., Atluri, S. N., Van Keer, R.   +3 more
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