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SIAMNUM
2010
149views more  SIAMNUM 2010»
13 years 18 hour ago
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations
In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for...
Zhiqiang Cai, Chunbo Wang, Shun Zhang
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 18 hour ago
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
In this paper, we first study two flux recovery procedures for the conforming finite element approximation to general second-order elliptic partial differential equations. One is a...
Zhiqiang Cai, Shun Zhang
SIAMNUM
2010
169views more  SIAMNUM 2010»
13 years 18 hour ago
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by ...
Kenneth H. Karlsen, Trygve K. Karper
SIAMNUM
2010
113views more  SIAMNUM 2010»
13 years 18 hour ago
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Abstract. It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arb...
Noel Walkington
SIAMNUM
2010
141views more  SIAMNUM 2010»
13 years 18 hour ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov