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FOCM
2002
140views more  FOCM 2002»
13 years 5 months ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
JSCIC
2010
97views more  JSCIC 2010»
13 years 6 days ago
Finite Element Characteristic Methods Requiring no Quadrature
The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals ar...
Olivier Pironneau
CAGD
2004
168views more  CAGD 2004»
13 years 5 months ago
A finite element method for surface restoration with smooth boundary conditions
In surface restoration usually a damaged region of a surface has to be replaced by a surface patch which restores the region in a suitable way. In particular one aims for C1-conti...
Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rump...
SIAMREV
2010
132views more  SIAMREV 2010»
13 years 5 days ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone
SIAMNUM
2010
150views more  SIAMNUM 2010»
13 years 5 days ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto