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Adjoint operator 1

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design-dependent boundary condition 1

implicit time integration 1

isogeometric shape optimization 1

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An isogeometric numerical study of partially and fully implicit schemes for transient adjoint shape sensitivity

Zhen-Pei WANG, Zhifeng XIE, Leong Hien POH

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 2, Pages 279-293 doi: 10.1007/s11465-019-0575-5

Abstract: In this work, the influence of time integration scheme is studied numerically for the adjoint shape sensitivity

Keywords： optimization design-dependent boundary condition transient heat conduction implicit time integration adjoint

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New computational treatment of optical wave propagation in lossywaveguides

Jian-xin ZHU,Guan-jie WANG

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 8, Pages 646-653 doi: 10.1631/FITEE.1400406

Abstract: In this paper, the optical wave propagation in lossy waveguides is described by the Helmholtz equation with the complex refractive-index, and the Chebyshev pseudospectral method is used to discretize the transverse operator of the equation. Meanwhile, an operator marching method, a one-way re-formulation based on the Dirichletto-Neumann (DtN) map, is improved to solve the equation. Numerical examples show that our treatment is more efficient.

Keywords： Adjoint operator Orthogonal Chebyshev Pseudospectral method Dirichlet-to-Neumann map