搜索结果: 1-15 共查到“数学 3D”相关记录47条 . 查询时间(0.17 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：3D Fracture Development Analysis with A Modified XFEM
XFEM 三维裂缝 发育分析
2023/11/6
扩展有限元法(XFEM)是目前裂纹分析的主流数值方法。2009年起，ABAQUS、ANSYS等主流商业软件集成XFEM并应用于裂纹问题，标志着该方法被工业界广泛接受。然而，在实际应用中XFEM仍然受到两方面的困扰：总体方程高度病态和动力学计算时能量难以守恒。基于“困难的根源在于单位分解插值引入的额外自由度”这一判断和认识，我们提出了一种无额外自由度的改进型扩展有限元方法，有效解决了现有方法总体刚度...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：O(2)-symmetry of 3D steady gradient solitons
O(2) 三维稳态 梯度孤子 对称性
2023/4/13
In this talk, we talk about the proof of the O(2)-symmetry of 3D steady gradient solitons. The proof consists of four parts: the asymptotic analysis at infinity, the symmetry improvement theorem, the ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
在许多如大坝、桥梁等大型土木工程结构中，结构的自重是初始设计阶段必须考虑的重要载荷之一，因此研究自重载荷作用下的结构拓扑优化设计问题具有十分重要的意义.针对考虑自重载荷作用的拓扑优化问题所面临的主要困难，总结了现有处理考虑自重载荷的拓扑优化问题的三类主要方法；提出一种基于非均匀有理B样条（non-uniform rational B-splines，NURBS）基函数插值的拓扑描述函数方法，基于此...
VISUALIZING AND ANALYZING LARGE AND DETAILED 3D DATASETS
Multi-resolution modeling interactive visualization GPU programming large datasets texture mapping
2015/10/8
This paper presents a set of tools developed to model, visualize and analyze large 3D datasets built from 2D and 3D sensor data. These
tools, grouped under the Atelier3D framework, first includ...
3D Discrete Curvelet Transform
Curvelet transform Parabolic scaling High-dimensional singularities Partition of unity Fast Fourier transform Out-of-core algorithm Parallel algorithm Wrapping
2015/7/15
In this paper, we present the first 3D discrete curvelet transform. This transform is an extension to the 2D transform described in Cand`es et al..1 The resulting curvelet frame preserves the importan...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
A PARALLEL SWEEPING PRECONDITIONER FOR HETEROGENEOUS 3D HELMHOLTZ EQUATIONS
Helmholtz time-harmonic sweeping preconditioner parallel
2015/7/14
A parallelization of a sweeping preconditioner for 3D Helmholtz equations without internal resonance is introduced and benchmarked for several challenging velocity models. The setup and application co...
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
Elliptic equations Fast algorithms Nested dissection Hierarchical matrices Sparse matrix
2015/7/14
We present a fast algorithm for solutions to linear systems arising from three dimensional elliptic problems on a regular Cartesian mesh. We follow the approach of Schmitz and Ying (2012) on combining...
A fast algorithm for 3D azimuthally anisotropic velocity scan
3D Velocity analysis Anisotropic parameter
2015/7/14
The conventional velocity scan can be computationally expensive for large-scale seismic data sets, particularly when the presence of anisotropy requires multiparameter scanning. We introduce a fast al...
Recursive Sweeping Preconditioner for the 3D Helmholtz Equation
Helmholtz equation perfectly matched layers preconditioners high frequency waves
2015/7/14
This paper introduces the recursive sweeping preconditioner for the numerical solution of the Helmholtz equation in 3D. This is based on the earlier work of the sweeping preconditioner with the moving...
3D integrable lattice models and the Bazhanov-Stroganov model
3D integrable lattice models Bazhanov-Stroganov model
2015/3/19
Many 2D integrable lattice spin models known: Ising, XXZ, RSOS, etc.Systematic construction of solutions of Y-B equations: quantum groups.Not many integrable 3D models: almost all generalizations of Z...
GLOBAL SOLUTIONS OF CERTAIN PLASMA FLUID MODELS IN 3D
GLOBAL SOLUTIONS CERTAIN PLASMA FLUID MODELS 3D
2014/4/3
We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler–Maxwell 1-fluid model, and the relativisti...
GLOBAL SOLUTIONS OF THE EULER–MAXWELL TWO-FLUID SYSTEM IN 3D
GLOBAL SOLUTIONS THE EULER–MAXWELL TWO-FLUID SYSTEM 3D
2014/4/3
The fundamental “two-fluid” model for describing plasma dynamics is given by the EulerMaxwell system, in which compressible ion and electron fluids interact with their own self-consistent ...
GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
2014/4/3
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stab...