The Experts below are selected from a list of 25776 Experts worldwide ranked by ideXlab platform
Ouyang Cheng - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear Singularly Perturbed Problem With Multiple Solutions
Advances in Mathematics, 2007Co-Authors: Ouyang ChengAbstract:In this paper,using the method of boundary layer,a nonlinear singularly Perturbed Problem with multiple solutions is studied.Under the appropriate assumptions, the asymptotic solutions of the Problem with different forms are obtained according to the multiple number of the root of some equation,which is satisfied by the boundary value of the reduced Problem,by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.In particular,as the multiple number of the root is even,the Problem has two solutions.In addition,the relative result is applied into the theory of chemical reactors.And it is illustrated that the asymptotic solutions so constructed possess higher precision by simulating the asymptotic solutions and numerical solutions for an example with multiple solutions.
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Semilinear singularly Perturbed Problem with boundary perturbation
Journal of Lanzhou University, 2005Co-Authors: Ouyang ChengAbstract:A class of semilinear singularly Perturbed Problems with boundary perturbation are considered. Under suitable conditions and using the theory of differential inequalities, the asymptotic behavior of solution for the boundary value Problem is studied.
Mats Werme - One of the best experts on this subject based on the ideXlab platform.
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On the validity of using small positive lower bounds on design variables in discrete topology optimization
Structural and Multidisciplinary Optimization, 2009Co-Authors: Krister Svanberg, Mats WermeAbstract:It is proved that an optimal { ε , 1}^ n solution to a “ ε -Perturbed” discrete minimum weight Problem with constraints on compliance, von Mises stresses and strain energy densities, is optimal, after rounding to {0, 1}^ n , to the corresponding “unPerturbed” discrete Problem, provided that the constraints in the Perturbed Problem are carefully defined and ε > 0 is sufficiently small.
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on the validity of using small positive lower bounds on design variables in discrete topology optimization
Structural and Multidisciplinary Optimization, 2009Co-Authors: Krister Svanberg, Mats WermeAbstract:It is proved that an optimal {e, 1}n solution to a “e-Perturbed” discrete minimum weight Problem with constraints on compliance, von Mises stresses and strain energy densities, is optimal, after rounding to {0, 1}n, to the corresponding “unPerturbed” discrete Problem, provided that the constraints in the Perturbed Problem are carefully defined and e > 0 is sufficiently small.
A. Evgrafov - One of the best experts on this subject based on the ideXlab platform.
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On globally stable singular truss topologies
Structural and Multidisciplinary Optimization, 2005Co-Authors: A. EvgrafovAbstract:We consider truss topology optimization Problems including a global stability constraint, which guarantees a sufficient elastic stability of the optimal structures. The resulting Problem is a nonconvex semi-definite program, for which nonconvex interior point methods are known to show the best performance. We demonstrate that in the framework of topology optimization, the global stability constraint may behave similarly to stress constraints, that is, that some globally optimal solutions are singular and cannot be approximated from the interior of the design domain. This behaviour, which may be called a global stability singularity phenomenon , prevents convergence of interior point methods towards globally optimal solutions. We propose a simple perturbation strategy, which restores the regularity of the design domain. Further, to each Perturbed Problem interior point methods can be applied.
Krister Svanberg - One of the best experts on this subject based on the ideXlab platform.
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On the validity of using small positive lower bounds on design variables in discrete topology optimization
Structural and Multidisciplinary Optimization, 2009Co-Authors: Krister Svanberg, Mats WermeAbstract:It is proved that an optimal { ε , 1}^ n solution to a “ ε -Perturbed” discrete minimum weight Problem with constraints on compliance, von Mises stresses and strain energy densities, is optimal, after rounding to {0, 1}^ n , to the corresponding “unPerturbed” discrete Problem, provided that the constraints in the Perturbed Problem are carefully defined and ε > 0 is sufficiently small.
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on the validity of using small positive lower bounds on design variables in discrete topology optimization
Structural and Multidisciplinary Optimization, 2009Co-Authors: Krister Svanberg, Mats WermeAbstract:It is proved that an optimal {e, 1}n solution to a “e-Perturbed” discrete minimum weight Problem with constraints on compliance, von Mises stresses and strain energy densities, is optimal, after rounding to {0, 1}n, to the corresponding “unPerturbed” discrete Problem, provided that the constraints in the Perturbed Problem are carefully defined and e > 0 is sufficiently small.
Yao Jing-sun - One of the best experts on this subject based on the ideXlab platform.
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Singularly Perturbed Problem for nonlinear equation with nonlinear boundary value condition
Applied Mathematics A Journal of Chinese Universities, 2013Co-Authors: Yao Jing-sunAbstract:Singulary Perturbed Problem for third-order nonlinear equation with nonlinear boundary value condition is considered.Using the method of composite expansion,the formal asymptotic expansion of solution of the Problem is constructed.Then using the theory of differential inequalities, the existence of solution and the uniformly validity of the expansion are proved.
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Singularly Perturbed Problem for third-order nonlinear equation with nonlinear boundary value conditions
Communication on Applied Mathematics and Computation, 2012Co-Authors: Yao Jing-sunAbstract:The singularly Perturbed Problem for the third-order nonlinear equation with nonlinear boundary value conditions is considered.Using the unconventional asymptotic sequence and the method of the composite expansion,the formal asymptotic expansion of the solution to the Problem is constructed.By using the theory of differential inequalities,the existence of the solution and the uniform validity of the expansion are proved.
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Singularly Perturbed Problem for the Second-Order Nonlinear Equation with a Locally Strongly Stable Reduce Solution
Journal of Anhui Normal University, 2012Co-Authors: Yao Jing-sunAbstract:In this paper,the boundary layer behavior of singularly Perturbed Problem for the second-order nonlinear equation with a locally strongly stable reduce solution is considered.The existence and asymptotic estimate of solution are discussed by using the bounding functions method and the theory of differential inequality.
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Asymptotic Solution to a Nonlinear Singularly Perturbed Problem
Journal of Anhui Normal University, 2006Co-Authors: Yao Jing-sunAbstract:A nonlinear singularly Perturbed boundary value Problem for the differential equation of second order is considered.Firstly,the outer solution to the Problem is constructed in a series of asymptotic array.Secondly, using the contracted variable the internal solution is obtained.Finally,using the matched method the uniform validly asymptotic solution to the original singularly Perturbed Problem is given.
