Results 1 to 10 of about 12,629 (265)
Local boundary integral equations for orthotropic shallow shells
International Journal of Solids and Structures, 2007 AbstractA meshless local Petrov–Galerkin (MLPG) formulation is presented for bending problems of shear deformable shallow shells with orthotropic material properties. Shear deformation of shells described by the Reissner theory is considered. Analyses of shells under static and dynamic loads are given here.
Jan Sladek, M H Aliabadi
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A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks [PDF]
SIAM Journal of Scientific Computing, 2013 In this paper, we will present a new approach for solving Laplace equations in general 3-D domains. The approach is based on a local computation method for the DtN mapping of the Laplace equation by combining a deterministic (local) boundary integral equation method and the probabilistic Feynman-Kac formula of PDE solutions. This hybridization produces
Xuan Zeng
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Fractional Langevin equations with multi-point and non-local integral boundary conditions [PDF]
Cogent Mathematics & Statistics, 2020 In this paper, we investigate a non-linear Langevin equation with periodic, multi-point and non-local fractional integral boundary conditions.
Mohammad Alnegga +2 more
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Analysis of some localized boundary-domian integral equations [PDF]
Journal of Integral Equations and Applications, 2009 Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar ”Laplace” PDE with variable coefficient are formulated and analysed. The parametrix is localized by multiplication with a radial localizing function.
Chkadua, O +2 more
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Closed-Form Analytical Solutions for the Deflection of Elastic Beams in a Peridynamic Framework
Applied Sciences, 2023 Peridynamics is a continuum theory that operates with non-local deformation measures as well as long-range internal force/moment interactions. The resulting equations are of the integral type, in contrast to the classical theory, which deals with ...
Zhenghao Yang +3 more
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Archives of Mechanics, 2023 This paper concerns the coupled linear quasi-static theory of thermoelasticity for materials with double porosity under local thermal equilibrium. The system of equations of this theory is based on the constitutive equations, Darcy’s law of the flow of a
M. Mikelashvili
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Non-local Problems with Integral Displacement for Highorder Parabolic Equations
Известия Иркутского государственного университета: Серия "Математика", 2021 The aim of this paper is to study the solvability of solutions of non-local problems with integral conditions in spatial variables for high-order linear parabolic equations in the classes of regular solutions (which have all the squared derivatives ...
A.I. Kozhanov, A.V. Dyuzheva
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A boundary integral equation formulation for the Helmholtz equation in a locally perturbed half-plane [PDF]
ZAMM, 2005 Summary: We study the application of boundary integral equation methods to the solution of the Helmholtz equation in a locally perturbed half-plane with Robin or impedance boundary conditions. This problem models outdoor noise propagation from a cutting onto a surrounding flat plane, and also the harbour resonance problem in coastal engineering.
Chandler-Wilde, S. N., Peplow, A. T.
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Stability analysis of solutions and existence theory of fractional Lagevin equation
Alexandria Engineering Journal, 2021 The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions.
Amita Devi +3 more
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Applications of the local boundary integral equation technique to potential problems
Applied Mathematical Modelling, 1993 Local boundary integral equation (LBIE) methods can be used if evaluation of the solution is required not over the whole boundary but only a small part of it. The paper briefly reviews the basic principles of two LBIE methods based on Taylor and Fourier series expansions for two-dimensional potential problems.
ASKIN, S, FENNER, RT
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