Results 181 to 190 of about 1,143 (217)
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Boundary Integral Equation Methods for Lipschitz Domains
2014For the boundary value problems of Chaps. 3 and 4 we made assumptions which are often not met in applications. Indeed, the classical integral equation methods discussed in Chap. 3 require smoothness of the boundary ∂ D. In case of the cavity problem of Chap. 4 just a homogeneous boundary condition has been treated.
Andreas Kirsch, Frank Hettlich
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The evaluation of domain integrals in the boundary element method
Communications in Applied Numerical Methods, 1990AbstractIn the application of the boundary element method (BEM) source terms give rise to domain integrals. To keep in the spirit of this method these integrals should be transformed into boundary integrals. Infortunately this is possible only in some circumstances.
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On the alternating method and boundary-domain integrals for elliptic Cauchy problems
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andriy Beshley +2 more
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Time‐domain integration methods of exponentially damped linear systems
International Journal for Numerical Methods in Engineering, 2018SummaryIn this paper, three new kinds of time‐domain numerical methods of exponentially damped systems are presented, namely, the simplified Newmark integration method, the precise integration method, and the simplified complex mode superposition method.
Meng‐Fu Wang, Zhi‐Hui Wang
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Acta Mechanica Solida Sinica, 2017
An adaptive cell-based domain integration method (CDIM) is proposed for the treatment of domain integrals in 3D boundary element method (BEM). The domain integrals are computed in background cells rather than volume elements. The cells are created from the boundary elements based on an adaptive oct-tree structure and no other discretization is needed ...
Qiao Wang +5 more
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An adaptive cell-based domain integration method (CDIM) is proposed for the treatment of domain integrals in 3D boundary element method (BEM). The domain integrals are computed in background cells rather than volume elements. The cells are created from the boundary elements based on an adaptive oct-tree structure and no other discretization is needed ...
Qiao Wang +5 more
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A boundary integral method for parabolic equations in non‐smooth domains
Communications on Pure and Applied Mathematics, 1994We treat the heat equation in a Lipschitz cylinder and device a Galerkin method for solving the integral equations associated with parabolic partial differential equations in nonsmooth domains. The main results state that the approximate solutions, obtained by using the Galerkin method, converge to the exact solutions as long as the mesh sizes balance ...
Adolfsson, V., Jawerth, B., Torres, R.
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Integrating Domain Modeling Within a Formal Requirements Engineering Method
2020One way to build safe critical systems is to formally model the requirements formulated by stakeholders and to ensure their consistency with respect to domain properties. This paper describes a metamodel for a domain modeling language built from OWL and PLIB.
Fotso, Steve Jeffrey Tueno +3 more
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An Invariant Imbedding Method for Singular Integral Evaluation on Finite Domains
SIAM Journal on Applied Mathematics, 1988An integration formulae for the evaluation of singular integrals on finite domains in continuum problems is presented. The so called ``imbedding'' method has some resemblance to the summation of the divergent series method. The considered integrands are homogeneous and mixed homogeneous.
Vijayakumar, Sinnathurai +1 more
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The Boundary-Domain Integral Method for Elliptic Systems
1998Pseudohomogeneous distributions.- Levi functions for elliptic systems of partial differential equations.- Systems of integral equations, generated by Levi functions.- The differential equations of the DV model.- Levi functions for the shell equations.- The system of integral equations and its numerical solution.- An example: Katenoid shell under ...
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A boundary‐domain integral equation method in viscous fluid flow
International Journal for Numerical Methods in Fluids, 2004AbstractIn this paper, the reciprocal work theorem for viscous fluid flow is established for Newtonian fluids and, based on this theorem, a set of boundary‐domain integral equations is derived from the continuity and momentum equations for two‐dimensional viscous flows.
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