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JSCIC
2008
62views more  JSCIC 2008»
15 years 4 months ago
Robustness of a Spline Element Method with Constraints
The spline element method with constraints is a discretization method where the unknowns are expanded as polynomials on each element and Lagrange multipliers are used to enforce th...
Gerard Awanou
NA
2006
75views more  NA 2006»
15 years 4 months ago
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations
A least-squares spectral collocation scheme is combined with the overlapping Schwarz method. The methods are succesfully applied to the incompressible Navier-Stokes equations. The...
Wilhelm Heinrichs
AMC
2008
67views more  AMC 2008»
15 years 4 months ago
A nonconforming covolume method for elliptic problems
We consider a control volume(covolume) method for second order elliptic PDEs with the rotated-Q1 nonconforming finite element on rectangular grids. The coefficient may a variable,...
Yun K. Hyon, Ho J. Jang, Do Y. Kwak
115
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JSCIC
2008
79views more  JSCIC 2008»
15 years 4 months ago
A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth
Abstract In this paper, we present a ghost cell/level set method for the evolution of interfaces whose normal velocity depend upon the solutions of linear and nonlinear quasi-stead...
Paul Macklin, John Lowengrub
SIAMSC
2008
99views more  SIAMSC 2008»
15 years 4 months ago
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
In this paper, we propose a stochastic mixed multiscale finite element method. The proposed method solves the stochastic porous media flow equation on the coarse grid using a set ...
J. E. Aarnes, Yalchin Efendiev