Abstract Bubbles in subsurface porous media spontaneously coarsen to reduce free energy. Bubble coarsening dramatically changes surface area and pore occupancy, which affect the hydraulic conductivity, mass heat transfer coefficients, chemical reactions. Coarsening kinetics is thus critical modeling geologic CO 2 sequestration, hydrogen storage, hydrate reservoir recovery, other relevant geophy...

We report on the control of the faceting of crystal surfaces by means of surface electromigration. When electromigration reinforces the faceting instability, we find perpetual coarsening with a wavelength increasing as t(1/2). For strongly stabilizing electromigration, the surface is stable. For weakly stabilizing electromigration, a cellular pattern is obtained, with a nonlinearly selected wav...

Graph clustering is defined as grouping the vertices of a given input graph into clusters. This article proposes a Two-Phase Modularity-Based Graph Clustering (2-PMGC) algorithm based on modularity optimization. The algorithm consists mainly of two steps; namely, coarsening and refinement. The coarsening phase takes the original graph as input and produces levels of coarsen graphs. The second p...

The paper deals with parameter estimation for categorical data under epistemic data imprecision, where for a part of the data only coarse(ned) versions of the true values are observable. For different observation models formalizing the information available on the coarsening process, we derive the (typically set-valued) maximum likelihood estimators of the underlying distributions. We discuss t...

Dendritic segregation in conventionally cast, commercially heat treated and exposed MarM002 turbine blades has been investigated using scanning electron microscopy (SEM) and energy dispersive X-ray analysis (EDS). During casting Cr, Co and W segregate to the dendrites and Hf, Ti and Ta segregate to the eutectics. As a result of the dissolution of γ' precipitates in the dendrites and coarsening ...

Multilevel algorithms are proposed for reordering sparse symmetric matrices to reduce the wavefront and proole. A graph representation of the matrix is used and two graph coarsening methods are investigated. A multilevel algorithm that uses a maximal independent vertex set for coarsening and the Sloan algorithm on the coarsest graph is shown to produce orderings that are of a similar quality to...

The subject of this paper is an application of the multigrid method to the inverse problem in the Electrical Impedance Tomography. The multigrid algorithm of a new type has been developed for solving this problem, involving near-boundary semi-coarsening cycles within full-coarsening cycles. The results of the developed algorithm were compared with another previously developed multigrid algorith...

We study the evolution of grain boundary networks by the mean-curvature flow under the restriction that the networks are Voronoi diagrams for a set of points. For such evolution we prove a rigorous universal upper bound on the coarsening rate. The rate agrees with the rate predicted for the evolution by mean-curvature flow of the general grain boundary networks, namely that the typical grain ar...