Abstract | ||
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An analysis is given for a class of nonconforming Lagrange-type nite elements which have been successfully utilized to approximate the solu- tion of a variational problem modeling the deformation of martensitic crystals with microstructure. These elements were rst proposed and analyzed in 1992 by Rannacher and Turek for the Stokes equation. Our analysis highlights the features of these elements which make them eective for the computation of microstructure. New results for superconvergence and numerical quadrature are also given. |
Year | DOI | Venue |
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1996 | 10.1090/S0025-5718-96-00735-1 | Math. Comput. |
Keywords | Field | DocType |
finite element,superconvergence,error estimate,. nonconforming nite element,nu- merical quadrature.,crystalline microstructures,microstructures,stokes equation,numerical quadrature | Mathematical analysis,Numerical integration,Calculus of variations,Superconvergence,Finite element method,Quadrature (mathematics),Numerical analysis,Stokes flow,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
65 | 215 | 0025-5718 |
Citations | PageRank | References |
8 | 2.07 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Peter Klouček | 1 | 8 | 2.07 |
Bo Li | 2 | 58 | 6.49 |
Mitchell Luskin | 3 | 124 | 23.89 |