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DISCRETIZATIONS: 作品数：17被引量：10H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈浩徐岩更多>>; 相关机构：重庆师范大学中国科学技术大学更多>>; 相关期刊：《Communications in Theoretical Physics》《Tsinghua Science and Technology》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划更多>>

A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem: 《Communications in Computational Physics》2023年第10期1391-1419,共29页Ling Ling Sun Hai Bi Yidu Yang; supported by the National Natural Science Foundation of China(Nos.12261024,11561014);the Science and Technology Planning Project of Guizhou Province(Guizhou Kehe fundamental research-ZK[2022]No.324).; In this paper,based on the velocity-pressure formulation of the Stokes eigenvalue problemin d-dimensional case(d=2,3),we propose amultigrid discretization of discontinuous Galerkin method using P_(k)-P_(k)-1 element(k...; 关键词：Stokes eigenvalue problem discontinuous Galerkin method multigrid discretizations adaptive algorithm

THE NONCONFORMING CROUZEIX-RAVIART ELEMENT APPROXIMATION AND TWO-GRID DISCRETIZATIONS FOR THE ELASTICEIGENVALUE PROBLEM: 《Journal of Computational Mathematics》2023年第6期1041-1063,共23页Hai Bi Xuqing Zhang Yidu Yang; supported by the National Natural Science Foundation of China (Grant No.11761022)。; In this paper,we extend the work of Brenner and Sung[Math.Comp.59,321–338(1992)]and present a regularity estimate for the elastic equations in concave domains.Based on the regularity estimate we prove that the consta...; 关键词：Elastic eigenvalue problem Nonconforming Crouzeix-Raviart element Two-grid discretizations Error estimates LOCKING-FREE

p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation: 《Communications on Applied Mathematics and Computation》2022年第3期783-822,共40页Lorenzo Botti Daniele A.Di Pietro; Daniele Di Pietro acknowledges the support of Agence Nationale de la Recherche Grant fast4hho(ANR-17-CE23-0019).; We propose a p-multilevel preconditioner for hybrid high-order(HHO)discretizations of the Stokes equation,numerically assess its performance on two variants of the method,and compare with a classical discontinuous Gal...; 关键词：Stokes equations Divergence free constraint Hybrid high-order Discontinuous Galerkin P-MULTIGRID Static condensation

Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models被引量：1: 《Advances in Applied Mathematics and Mechanics》2019年第6期1376-1397,共22页Yingxiong Xiao Heng Chen Lingjie Xie; This work was supported in part by the National Natural Science Foundation of China(Grant No.11601462);the Hunan Provincial Natural Science Foundation of China(Grant No.14JJ2063);the Scientific Research Fund of Hunan Provincial Education Department(Grant No.15A183).; The concrete aggregate model is considered as a type of weakly discontinuous problem consisting of three phases:aggregates which randomly distributed in different shapes,cement paste and internal transition zone(ITZ)....; 关键词：Concrete aggregate model hierarchical quadratic elements ill-conditioned matrix algebraic multigrid method PRECONDITIONER

The INTERNODES Method for Non-conforming Discretizations of PDEs: 《Communications on Applied Mathematics and Computation》2019年第3期361-401,共41页Paola Gervasio Alfio Quarteroni; INTERNODES is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into two or several disjoint subdomains. It exploits two intergrid ...; 关键词：Domain decomposition Non-conforming approximation Non-conforming grids Interpolation FINITE ELEMENT METHOD hp-finite ELEMENT METHOD Spectral ELEMENT METHOD

A PARALLEL ALGORITHM FOR THE SOLUTION OF LARGE-SCALE NONCONFORMING FLUID-STRUCTURE INTERACTION PROBLEMS IN HEMODYNAMICS: 《Journal of Computational Mathematics》2017年第3期363-380,共18页Davide Forti Alfio Ouarteroni Simone DeDaris; In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the...; 关键词：Fluid-Structure Interaction Domain decomposition Nonconforming discretizations INTERNODES Biomechanics Parallel preconditioners High performance comput-ing.

Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids: 《Numerical Mathematics(Theory,Methods and Applications)》2015年第1期78-96,共19页Carmen Rodrigo Francisco Sanz Francisco J.Gaspar Francisco J.Lisbona; supported by the Spanish project FEDER/MCYT MTM2010-16917 and the DGA(Grupo consolidado PDIE).; In this paper,we present a local Fourier analysis framework for analyzing the different components within multigrid solvers for edge-based discretizations on triangular grids.The different stencils associated with edg...; 关键词：Multigrid local Fourier analysis edge-based discretizations mimetic finite differences

Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows: 《Numerical Mathematics(Theory,Methods and Applications)》2014年第2期123-148,共26页Stefano Giani Paul Houston; S.Giani and P.Houston acknowledge the financial support of the EPSRC under the grant EP/H005498.PH also acknowledges the support of the Leverhulme Trust.; In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations.To discretize thi...; 关键词：Composite finite element methods discontinuous Galerkin methods domain decomposition Schwarz preconditioners compressible fluid flows

Integrable discretizations of the Dym equation: 《Frontiers of Mathematics in China》2013年第5期1017-1029,共13页Bao-Feng FENG Jun-ichi INOGUCHI Kenji KAJIWARA Ken-ichi MARUNO Yasuhiro OHTA; Integrable discretizations of are proposed. N-soliton solutions for analogues of the complex and real Dym the complex and real Dym equations both semi-discrete and fully discrete equations are also presented.; 关键词：Dym equation integrable discretization N-soliton solution

Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrodinger-Poisson System被引量：1: 《Communications in Computational Physics》2013年第5期1357-1388,共32页Yong Zhang; supported by Ministry of Education of Singapore grant R-146-000-120-112;the National Natural Science Foundation of China(Grant No.11131005);the Doctoral Programme Foundation of Institution of Higher Education of China(Grant No.20110002110064).; We study compact finite difference methods for the Schrodinger-Poisson equation in a bounded domain and establish their optimal error estimates under proper regularity assumptions on wave functionψand external potent...; 关键词：Schrodinger-Poisson system Crank-Nicolson scheme semi-implicit scheme compact finite difference method Gronwall inequality the maximum principle

DISCRETIZATIONS