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MOC
2002
127views more  MOC 2002»
14 years 11 months ago
The dynamical behavior of the discontinuous Galerkin method and related difference schemes
We study the dynamical behavior of the discontinuous Galerkin finite element method for initial value problems in ordinary differential equations. We make two different assumptions...
Donald J. Estep, Andrew M. Stuart
SIAMNUM
2010
150views more  SIAMNUM 2010»
14 years 6 months 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
CAGD
2004
122views more  CAGD 2004»
14 years 11 months ago
Axioms and variational problems in surface parameterization
For a surface patch on a smooth, two-dimensional surface in IR3 , low-distortion parameterizations are described in terms of minimizers of suitable energy functionals. Appropriate...
Ulrich Clarenz, Nathan Litke, Martin Rumpf
MOC
2000
103views more  MOC 2000»
14 years 11 months ago
An additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Lori Badea, Junping Wang
SIAMAM
2008
131views more  SIAMAM 2008»
14 years 11 months ago
Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures
We consider the problem of calculating resonance frequencies and radiative losses of an optical resonator. The optical resonator is in the form of a thin membrane with variable die...
J. Gopalakrishnan, S. Moskow, F. Santosa