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CAD几何内核核心算法库（图）
CAD 几何内核 核心算法
2024/10/29
该成果是CAD几何内核的核心底层技术，很大程度上决定了几何引擎的稳定性。二次曲面在CAD模型中使用最为广泛，因此二次曲面的求交在所有求交任务中被调用频次最高。由于二次曲面具有特殊的代数和几何性质，它们的求交计算一般需区别于自由曲面求交来进行特殊处理，从而充分保证算法的精度和效率。
基于区间拓扑分析的参数曲面保拓扑的求交
区间拓扑分析 参数曲面 保拓扑 求交
2023/12/13
Computing the intersection between two parametric surfaces (SSI) is one of the most fundamental problems in geometric and solid modeling. Maintaining the SSI topology is critical to its computation ro...
In this paper, we investigate the energy minimization model arising in the ensemble Kohn–Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing...
Part of the motivation of this paper comes from the recent paper [W. Guo and H.-Z. Zhou, SIAM J. Control Optim., 57 (2019), pp. 1890–1928], where an adaptive control approach was used to estimate in r...
The finite-time stabilization problem is considered for a class of multi-input multi-output nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, pos...
一类二维双曲混沌偏微分系统的可观性与观测器
二维双曲混沌 偏微分系统 可观性 观测器
2023/12/13
This paper is concerned with both observability and observers for a class of systems described by the two-dimensional hyperbolic PDEs with superlinear boundary conditions which can exhibit chaos. The ...
This article studies input design of kernel-based regularization methods for linear dynamical systems, which has been formulated as a nonconvex optimization problem with the criterion being a scalar m...
库仑费用多边际最优输运问题的全局优化算法
库仑费用 多边际 最优输运 全局优化算法
2023/12/13
In this work, we construct a novel numerical method for solving the multimarginal optimal transport problems with Coulomb cost. This type of optimal transport problem arises in quantum physics and pla...
电商平台中融合广告拍卖的机制优化
电商平台 融合广告拍卖 机制优化
2023/12/13
Advertising becomes one of the most popular ways of monetizing an online transaction platform. Usually, sponsored advertisements are posted on the most attractive positions to enhance the number of cl...
声波层状介质问题的PML积分方程方法
声波 层状介质 PML积分方程
2023/12/13
Based on the perfectly matched layer (PML) technique, this paper develops a highly accurate boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media i...
随机退化抛物方程的两类多目标问题
随机退化 抛物方程 两类多目标问题
2023/12/13
This paper is devoted to studying two multiobjective problems for stochastic degenerate parabolic equations. The first one is a hierarchical control problem, in which the controls are classified into ...
In this paper, we prove that the \(L^p(\mathbb {R}^d)\) norm of the maximal truncated Riesz transform in terms of the \(L^p(\mathbb {R}^d)\) norm of Riesz transform is dimension-free for any \(2\le p<...
形状梯度流系统演化有限元方法的收敛性分析
形状梯度流 系统演化 有限元方法 收敛性分析
2023/12/13
As a specific type of shape gradient descent algorithm, shape gradient flow is widely used for shape optimization problems constrained by partial differential equations. In this approach, the constrai...