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NHM
2010
73views more  NHM 2010»
13 years 2 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger
SIAMSC
2011
110views more  SIAMSC 2011»
13 years 2 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
SIAMAM
2008
131views more  SIAMAM 2008»
13 years 7 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
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 6 months ago
Least-Squares Finite Element Methods for Quantum Electrodynamics
A significant amount of the computational time in large Monte Carlo simulations of lattice field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional...
James J. Brannick, C. Ketelsen, Thomas A. Manteuff...
MOC
2000
109views more  MOC 2000»
13 years 7 months ago
A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...
M. Farhloul, S. Nicaise, L. Paquet