Dissertation > Excellent graduate degree dissertation topics show
Unstructured quadrilateral finite element equation quadratic Lagrangian algebraic multigrid method
Author: LiuXuan
Tutor: ShuShi
School: Xiangtan University
Course: Computational Mathematics
Keywords: Algebraic Multigrid Quadrilateral mesh Quadratic Lagrangian finite element
CLC: O241.82
Type: Master's thesis
Year: 2005
Downloads: 110
Quote: 0
Read: Download Dissertation
Abstract
In this paper, a class of twodimensional with discontinuous coefficients elliptic boundary value problems in unstructured quadrilateral mesh , respectively, discussed two quadratic Lagrangian finite element ( 8node node and $ 9 million ) algebraic equations multigrid method, By using bilinear element and the second element basis functions represent relationships between algebra , and after careful analysis , we give a new upscaling algorithm and construct ways to enhance the operator algebra . Further, we theoretically proved that the new AMG method is convergent in nature. Numerical experiments show that : the new AMG method is more efficient in operation and stability are superior to conventional AMG method .

Related Dissertations
 HighQuality and Controllable Quadrangulation Methods,TP391.41
 Research on Scalable Parallel Algebraic Multigrid Algorithms,O241
 Preconditioning Method and Its Applications in Numerical Simulation for Electromagnetic,O441.4
 On Symmetrical Finite Volume Scheme of the Quadrangle Grid and Its Appilication,O241
 An Unstructured Algebraic Multigrid Method On Lattice Materials,O241
 Based on a new kind of algebraic thinking coarsening multigrid method,O241.82
 Design and Achievement of Mesh Simplification and Optimization Algorithm of Spatial Quadrilateral,TP391.41
 Fast Solving Algorithms for Discrete Models of Two Types of Lattice Block Materials,O241.82
 Building geometry and discrete spline modeling technology research,TU17
 Applications of Vector Finite Element Method to Simulate Logging While Drilling Resistivity Tools,P631.83
 GeometryAnalysis Based Algebraic Multigrid Methods and Applications,O241.82
 Study of Algebraic Multigrid Algorithms and Applications in Solid Mechanics,O34
 The automotive stamping molding computer simulation dedicated preprocessing system research and development,TG385.9
 The Software System of the Two Dimensional Finite Element Mesh Automatic Generation,TP391.7
 Block algebraic multigrid algorithm and its implementation technology in reservoir simulation software,TP391.9
 Optimal Error Analysis of Partition of Unity Method and Application of Algebraic Multigrid Algorithm,O241.82
 Application of Algebraic Multigrid Method Based on DLR kε Turbulent Model to the Numerical Prediction of Turbulent Flow in a Conical Diffuser,O241.82
 Studies of Multigrid Algorithm for 3D GeoElectromagnetic Modeling and Its Applications,P318
 Study on the Algorithm of Quadrilateral Finite Element Mesh Generation,TG386
 The Research and Implement of Quadrilateral Mesh Generation Algorithm with the Feature Constraint,TP391.7
CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
© 2012 www.DissertationTopic.Net Mobile
