Dissertation > Excellent graduate degree dissertation topics show

A Discontinuous Galerkin Method for Solving Fourth Order Curl Problem

Author: HongQingGuo
Tutor: XuJinChao；ShuShi
School: Xiangtan University
Course: Computational Mathematics
Keywords: Fourth order curl DG method Nédélec finite element space Error estimates
CLC: O241.82
Type: Master's thesis
Year: 2008
Downloads: 31
Quote: 0
Read: Download Dissertation

Abstract


The fourth order curl has important practical application of the background , for example , it can describe the interaction of charged fluid microscopic scale magnetic field . Currently , the posedness reconciliation on the issue the regular basic theory and corresponding numerical solution is still rare. This paper first gives the background and the derivation of the three-dimensional bounded Lipschitz polyhedral domain on the fourth order curl . Followed by the introduction of appropriate exploratory function spaces and the test function space , the variational problem , proved the selected trial function space (or test function space ) is a Hilbert space and variational problem posedness ; using the vector Sobolev spaces embedded relationship variational problem solution regularity result . Finally , based on Nédélec finite element space , given a problem solving fourth order curl discontinuous finite element (DG) method to establish the basic theory , optimal estimation error .

Related Dissertations

  1. Symplectic and Multisymplectic Structure-Preserving Numerical Schemes for Evolution Equation,O241.82
  2. The new format of the mixed element of elasticity,O241.82
  3. A Posteriori Error Estimates and Adaptive Finite Element Methods for Elliptic Equations with Variable Coefficients,O241.82
  4. Least-squares Mixed Finite Element Methods for Two Kinds of Partial Differential Equations,O241.82
  5. Semi- linear pseudo- hyperbolic Integral - differential equations H ~ 1-Galerkin Mixed Finite Element Method,O241.82
  6. Error Estimates of Mixed Finite Element Methods for Quasilinear Optimal Control Problems,O241.82
  7. A Posteriori Error Estimates of Mixed Finite Element Methods for Parabolic Optimal Control Problems,O241.82
  8. Singularly perturbed boundary value problems on adaptive mesh finite difference method study,O241.82
  9. Two Kinds of Mumerical Methods for the Purely Longtudinal Motion Equation of a Homogeneous Bar,O241.82
  10. A Stabilized Method of P2-P1 Element and P2-P2 Element for There-dimensional Stokes Equations,O241.82
  11. Hybrid Collocation and Adaptive Collocation Algorithm for Fractional Differential Equations,O241.81
  12. Least Squares Mixed Finite Element Methods for Burgers Equation and Its Error Estimates,O241.82
  13. H~1-Galerkin Mixed Finite Element Methods for a Class of Parabolic Partial Integro-Differential Equation,O241.82
  14. H~1-Galerkin Mixed Finite Element Methods for Pseudo-Hyperbolic Equations with Space-Time Coefficient,O241.82
  15. Mixed Finite Element Methods for One-dimensional Singular Differential Equation,O241.82
  16. Mixed Element Methods for Two Classes of Partial Differential Equations,O241.82
  17. Analysis on H~1-Galerkin Mixed Finite Element Method for Second Order Parabolic Problems,O241.82
  18. High Order Accurate Numerical Methods for Cahn-Hilliard Equations,O241.82
  19. Research of A Least-squares Mixed Finite Element Method with Characteristics for Two Kinds of Parabolic Equations,O241.82
  20. Research on the Algorithm of Convection-dominated Diffusion of Two Dimensions Based on Characteristic Theory,O241.82
  21. Characteristic Mixed Finite Element Methods for Fourth Order Equations,O241.82

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