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This paper, as the sequel to previous work, develops numerical schemes for fractional diffusion equations on a two-dimensional finite domain with tri- angular meshes. We adopt the nodal discontinuous Galerkin methods for the full spatial discretization by ...
In this paper, we propose reduced basis multiscale finite element methods (RB-MsFEM) for elliptic problems with highly oscillating coefficients. The method is based on multiscale finite element methods with local test functions that encode the oscillatory ...
Society for Industrial and Applied Mathematics2015
We compare the performance of the perturbation-based (local) portfolio solution method of Devereux & Sutherland (2010a, 2011) with a global solution method. As a test suite we use model specifications that broadly capture features of international financia ...
In focusing Kerr media, small- scale filamentation is the major obstacle to imaging at high light intensities. In this article, we experimentally and numerically demonstrate a method based on statistical averaging to reduce the detrimental effects of filam ...
A finite element heterogeneous multiscale method is proposed for solving the Stokes problem in porous media. The method is based on the coupling of an effective Darcy equation on a macroscopic mesh with unknown permeabilities recovered from micro finite el ...
A fully discrete analysis of the finite element heterogeneous multiscale method (FE-HMM) for elliptic problems with N+1 well-separated scales is discussed. The FE-HMM is a numerical homogenization method that relies on a macroscopic scheme (macro FEM) for ...
This paper proposes an approach for high-order time integration within a multi-domain setting for time- fractional differential equations. Since the kernel is singular or nearly singular, two main difficulties arise after the domain decomposition: how to p ...
In this paper we discuss a discontinuous finite volume method for the approximation of distributed optimal control problem governed by the Brinkman equations written in terms of velocity and pressure. An additional force field is sought such that it produc ...
This work focuses on Green's functions (GFs) of planar multilayered structures that may include an arbitrary number of conductive sheets. The spectral-domain GFs are derived through an automatized strategy based on the propagator matrix technique, while th ...
Institute of Electrical and Electronics Engineers2015
Equilibrium reconstruction consists in identifying, from experimental measurements, a distribution of the plasma current density that satisfies the pressure balance constraint. The LIUQE code adopts a computationally efficient method to solve this problem, ...