MESHES

作品数:142被引量:141H指数:5
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Accuracy Analysis for Explicit-Implicit Finite Volume Schemes on Cut Cell Meshes
《Communications on Applied Mathematics and Computation》2024年第4期2239-2264,共26页Sandra May Fabian Laakmann 
The solution of time-dependent hyperbolic conservation laws on cut cell meshes causes the small cell problem:standard schemes are not stable on the arbitrarily small cut cells if an explicit time stepping scheme is us...
关键词:Cartesian cut cell method Finite volume scheme Embedded boundary grid Mixed explicit-implicit Truncation error Error accumulation 
A DG Method for the Stokes Equations on Tensor Product Meshes with[P_(k)]^d-P_(k-1)Element
《Communications on Applied Mathematics and Computation》2024年第4期2431-2454,共24页Lin Mu Xiu Ye Shangyou Zhang Peng Zhu 
supported by the Simons Foundation Grant。
We consider the mixed discontinuous Galerkin(DG)finite element approximation of the Stokes equation and provide the analysis for the[P_(k)]^d-P_(k-1)element on the tensor product meshes.Comparing to the previous stabi...
关键词:Finite element Discontinuous Galerkin(DG)method Tensor product mesh Enhancement of pressure-robustness 
MONOTONICITY CORRECTIONS FOR NINE-POINT SCHEME OF DIFFUSION EQUATIONS
《Journal of Computational Mathematics》2024年第5期1305-1327,共23页Wang Kong Zhenying Hong Guangwei Yuan Zhiqiang Sheng 
supported by the National Natural Science Foundation of China(Grant Nos.12071045,12201299);the Natural Science Foundation of Jiangsu Province(Grant No.BK20220870);the Youth Foundation of Laboratory of Computational Physics(Grant No.HX02021-37).
In this paper,we present a nonlinear correction technique to modify the nine-point scheme proposed in[SIAM J.Sci.Comput.,30:3(2008),1341-1361]such that the resulted scheme preserves the positivity.We first express the...
关键词:Monotonicity corrections Diffusion equation Improved MPFA Distorted meshes 
Remapping Between Meshes with Isoparametric Cells:a Case Study
《Communications on Applied Mathematics and Computation》2024年第3期1551-1574,共24页Mikhail Shashkov Konstantin Lipnikov 
This work was performed under the auspices of the National Nuclear Security Administration of the US Department of Energy at Los Alamos National Laboratory under Contract No.89233218CNA000001.
We explore an intersection-based remap method between meshes consisting of isoparametric elements.We present algorithms for the case of serendipity isoparametric elements(QUAD8 elements)and piece-wise constant(cell-ce...
关键词:Isoparametric meshes Data transfer Ramapping 
Routing impact of architecture and damage in programmable photonic meshes
《Photonics Research》2024年第9期1999-2011,共13页FERRE VANDEN KERCHOVE DIDIER COLLE WOUTER TAVERNIER WIM BOGAERTS MARIO PICKAVET 
European Research Council(725555);Fonds Wetenschappelijk Onderzoek(11O0923N,G020421).
Programmable photonic integrated circuits(PPICs)emerge as a novel technology with an enormous potential for ground-breaking innovation.Different architectures are currently being considered that dictate how waveguides...
关键词:STRAIGHT DAMAGE ARCHITECTURE 
Preface
《Science China(Technological Sciences)》2024年第4期965-965,共1页LI Xu 
The numerical manifold method(NMM)is a numerical method pioneered by Genhua Shi in 1991 to approximate continuousdiscontinuous(C-D)fields.C-D fields are widespread and involve complex boundaries,moving discontinuities...
关键词:MESHES MANIFOLD MOVING 
Fundamentals and progress of the manifold method based on independent covers
《Science China(Technological Sciences)》2024年第4期966-991,共26页SU HaiDong LIN ShaoZhong XIE ZhiQiang GONG YaQi QI YongFeng 
supported by the Fundamental Research Funds for Central Public Welfare Research Institutes in China(Grant Nos.CKSF2010012/CL,CKSF2013031/CL,CKSF2014054/CL,CKSF2015033/CL,and CKSF2016022/CL)。
Aiming to solve mesh generation,computational stability,accuracy control,and other problems encountered with existing numerical methods,such as the finite element method and the finite volume method,a new numerical co...
关键词:series solutions mesh generation adaptive analysis fixed meshes numerical manifold method 
Nonconforming Finite Elements for the -curlΔcurl and Brinkman Problems on Cubical Meshes
《Communications in Computational Physics》2023年第10期1332-1360,共29页Qian Zhang Min Zhang Zhimin Zhang 
supported in part by the National Natural Science Foundation of China grants NSFC 12131005 and NSAF U2230402.
We propose two families of nonconforming elements on cubical meshes:one for the -curlΔcurl problem and the other for the Brinkman problem.The element for the -curlΔcurl problem is the first nonconforming element on ...
关键词:Nonconforming elements -curlΔcurl problem Brinkman problem finite element de Rham complex Stokes complex 
Hybrid Finite Element Method Based on Polygon-Quadtree Meshes for Heat Transfer and Thermal Elastic Analysis
《Acta Mechanica Solida Sinica》2023年第5期745-753,共9页Lihui Wang Rui Zhang Ran Guo Jiangbo Tao 
supported by the National Natural Science Foundation of China(Grant Nos.12062007 and 12072135).
A steady-state thermal hybrid element model is proposed to calculate particle-reinforced composites divided by an improved quadtree mesh.The functional of hybrid flux finite element method(HF-FEM)is constructed using ...
关键词:Hybridflux method Hybrid thermal stress method Improved quadtree grid STEADY-STATE 
A Spectral Segmentation Method for Large Meshes
《Communications in Mathematics and Statistics》2023年第3期583-607,共25页Xiaohan Bao Weihua Tong Falai Chen 
supported by the National Natural Science Foundation of China(Nos.61877056,61972368);the Anhui Provincial Natural Science Foundation,PR China(No.1908085QA11).
Mesh segmentation is a fundamental and critical task in mesh processing,and it has been studied extensively in computer graphics and geometric modeling communities.However,current methods are not well suited for segme...
关键词:Mesh segmentation Spectral method Progressive mesh Feature-aware simplification Geodesic curvature flow 
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