Concept

Galerkin method

Related publications (377)

Modeling of crack propagation in weak snowpack layers using the discrete element method

Dry-snow slab avalanches are generally caused by a sequence of fracture processes including (1) failure initiation in a weak snow layer underlying a cohesive slab, (2) crack propagation within the weak layer and (3) tensile fracture through the slab which ...

2015

The use of solid-phase fluorescence spectroscopy in the characterisation of organic matter transformations

Remy Jean Henry Albrecht

Given its high sensitivity and non-destructive nature, fluorescence excitation-emission matrix (EEM) spectroscopy is widely used to differentiate changes and transformations of dissolved or water-extracted organic matter (OM) in natural environments. The s ...

Elsevier2015

MATHICSE Technical Report: Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows

Assyr Abdulle, Martin Ernst Huber

We introduce a numerical homogenization method based on a discontinuous Galerkin finite element heterogeneous multiscale method (DG-HMM) to efficiently approximate the effective solution of parabolic advection-diffusion problems with rapidly varying coeffi ...

MATHICSE2015

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

André Uschmajew

In this note we estimate the asymptotic rates for the L-2-error decay and the storage cost when approximating 2 pi-periodic, d-variate functions from isotropic and mixed Sobolev classes by the recent hierarchical tensor format as introduced by Hackbusch an ...

Academic Press Inc Elsevier Science2014

Finite Volume Particle Method for 3-D Elasto-Plastic Solid Simulation

François Avellan, Ebrahim Jahanbakhsh, Christian Vessaz

Finite Volume Particle Method was successfully used to predict fluid flow behavior for 2-D simulations. In this paper, we present a FVPM which is applicable for 3-D solid mechanics simulations. This method features rectangular top-hat kernels for computing ...

2014

Mathematical modelling of active contraction in isolated cardiomyocytes

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi, Aymen Laadhari

We investigate the interaction of intracellular calcium spatio-temporal variations with the self-sustained contractions in cardiac myocytes. A consistent mathematical model is presented considering a hyperelastic description of the passive mechanical prope ...

Oxford University Press2014

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Jean-François Molinari, Guillaume Anciaux, Srinivasa Babu Ramisetti

We present a novel method to couple molecular dynamics with finite elements at finite temperatures using spatial filters. The mismatch in the dispersion relations between continuum and atomistic models leads, at finite temperature, to unwanted mesh vibrati ...

Wiley-Blackwell2014

Subspace Methods For Computing The Pseudospectral Abscissa And The Stability Radius

Daniel Kressner

The pseudospectral abscissa and the stability radius are well-established tools for quantifying the stability of a matrix under unstructured perturbations. Based on first-order eigenvalue expansions, Guglielmi and Overton [SIAM J. Matrix Anal. Appl., 32 (2 ...

Siam Publications2014

Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics

Jan Sickmann Hesthaven

Rocket and gas turbine combustion dynamics involves a confluence of diverse physics and interaction across a number of system components. Any comprehensive, self-consistent numerical model is burdened by a very large computational mesh, stiff unsteady proc ...

American Institute of Aeronautics and Astronautics2014

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014

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Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014