Robust mass lumping and outlier removal strategies in isogeometric analysis
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In the past few years, the level set method has been extensively used for the numerical solution of interface problems in different domains, from free-surface and mean curvature flows to image processing. A crucial ingredient in every implementation of the ...
In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discre ...
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In large-area radio-frequency (rf) capacitive reactors, the redistribution of rf current to maintain current continuity near asymmetric sidewalls causes a perturbation in rf plasma potential to propagate along the resistive plasma between capacitive sheath ...
Physical systems encompassing a variety of strongly coupled scales pose major computational challenges in terms of analysis modeling and simulation. In this report we first discuss a multiscale modeling approach for the transport of particles such as DNA i ...
Unlike in continuum approaches, time-dependent micro--macro calculations have been performed up to now almost exclusively using a simple explicit time marching algorithm, the exception being the pioneering work by Somasi and Khomami [J. Non-Newtonian Fluid ...
We discuss two time integration techniques, aimed at overcoming local grid-induced stiffness in discontinuous Galerkin methods. A local time-stepping approach, utilizing the local properties of the scheme, is shown to work very well. Recently developed add ...
In large-area radio-frequency (rf) capacitive reactors, the redistribution of rf current to maintain current continuity near asymmetric sidewalls causes a perturbation in rf plasma potential to propagate along the resistive plasma between capacitive sheath ...
Split-operator approaches are methods in widespread use for numerical solutions of reaction/transport problems. However, only a couple of analyses of truncation errors resulting from operator splitting have been published. A range of linear, single species ...
In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian operator, we present here a method which consists in inverting, on a finite element space, a non-singular integral operator. This operator is a geometrical per ...