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CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 11 months ago
Solution of moving-boundary problems by the spectral element method
This paper describes a novel numerical model aiming at solving moving-boundary problems such as free-surface flows or fluid– structure interaction. This model uses a moving-gr...
Nicolas Bodard, Roland Bouffanais, Michel O. Devil...
JSCIC
2008
79views more  JSCIC 2008»
13 years 11 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
JSCIC
2006
69views more  JSCIC 2006»
13 years 11 months ago
Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method
This paper deals with the identification of a zone permitting fluid to leak out of a drain. Using the analogy with crack identification by boundary measurements, we give uniqueness...
Zakaria Belhachmi, Andreas Karageorghis, K. Taous
NA
2010
96views more  NA 2010»
13 years 9 months ago
Spectral element methods on unstructured meshes: which interpolation points?
In the field of spectral element approximations, the interpolation points can be chosen on the basis of different criteria, going from the minimization of the Lebesgue constant to ...
Richard Pasquetti, Francesca Rapetti
SIAMSC
2011
110views more  SIAMSC 2011»
13 years 5 months ago
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements...
Omar Lakkis, Tristan Pryer