Perturbation theory for linear/nonlinear eigenvalue problems in action

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:dnlzj
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  In numerical analysis,perturbation theory has earned their fame as primarily theoretical contributions,but nonetheless their role in practical computations is crucial.Perturbation results are used extensively for analyzing stability of numerical algorithms or the accuracy of numerical approximation,and sometimes to inspire new algorithm design.
其他文献
  The Weak Galerkin method is an extension of the standard Galerkin finite element method where classical derivatives were substituted by weakly defined deriv
会议
  We consider multigrid methods for discontinuous Galerkin H(div)-conforming discretizations of the Stokes and linear elasticity equations.We show that the va
会议
  A multigrid method is employed for the poroelastic equations with an Uzawa-type iteration as the smoother.Our analysis of the smoother is based on the frame
会议
  Many applications,in particular ones from control,lead to Talternating(i.e.,symmetric/skew-symmetric)matrix pencils and important characteristics can be rea
会议
  Diagonally dominant matrices are very important in applications and have been extensively studied in the last 50 years.Therefore,it is difficult to believe
会议
  We study the convergence of certain efficient projection methods using restarting and shift-and-invert technique for solving symmetric eigenvalue problems.M
会议
  Poromechanics studies the interactions between fluid motion and deformation in porous media.It has important applications including consolidation,subsidence
会议
  The numerical solution to coupled poromechanics is still a challenging task because of several issues:(1)pore pressure instability,(2)large number of unknow
会议
  This talk is concerned with the perturbation of the partitioned linear response eigenvalue problem.A bound on how the eigenvalues change is obtained.It is o
会议
  In this talk,we first point out some limitations of PHT-spline basis,i.e.,some of the basis functions decay rapidly for certain mesh refinement,which leads
会议