Landslide dams pose enormous risks to infrastructures and communities in mountainous areas near rivers, with potential dam breaches causing catastrophic secondary hazards. The morphology of a landslide dam, essential its stability, is highly influenced by formation conditions, including the type, material composition, valley shape. However, correlation between these factors poorly understood. A...

Lake Matahina, an 8 km long hydroelectric storage reservoir, is a small (2.5 km), 50 m deep, warm monomictic, gorge-type lake whose internal circulation is controlled by the inflowing Rangitaiki River which drains a greywacke and acid volcanic catchment. Three major proximal to distal subenvironments are defined for the lake on the basis of surficial sediment character and dominant depositional...

Sand dripping in 1 dimensional Sand Pile Model is rst studied. Patterns and signals appear. Their behaviors and interactions are explained and asymptotic approximations are made. The total collapsing time of a single stack of sand is linear in function of the number of grains.

We consider the numerical approximation of a model convection–diffusion equation by standard bilinear finite elements. Using appropriately graded meshes we prove optimal order error estimates in the ε-weighted H 1-norm valid uniformly, up to a logarithmic factor, in the singular perturbation parameter. Finally, we present some numerical examples showing the good behavior of our method. © 2006 I...

The hardest instances of phase retrieval arise in crystallography, where the signal is periodic and comprised of atomic distributions arranged uniformly in the unit cell of the crystal. We have constructed a graded set of benchmark problems for evaluating algorithms that perform this type of phase retrieval. A simple iterative algorithm was used to establish baseline runtimes that empirically g...

In this work, a singularly perturbed two-point boundary value problem of convection-diiusion type is considered. A hp version nite element method on a strongly graded piecewise uniform mesh of Shishkin type is used to solve the model problem. With the analytic assumption of the input data, it is shown that the method converges exponentially and the convergence is uniformly valid with respect to...

Abstract. We study the numerical solution for Volerra integro-differential equations with smooth and non-smooth kernels. We use an h-version discontinuous Galerkin (DG) method and derive nodal error bounds that are explicit in the parameters of interest. In the case of non-smooth kernel, it is justified that the start-up singularities can be resolved at superconvergence rates by using non-unifo...

We prove the uniform convergence of the multigrid V -cycle on graded meshes for corner-like singularities of elliptic equations on a bounded domain Ω ⊂ IR. In particular, using some weighted Sobolev space K a (Ω) and the method of subspace corrections with the elliptic projection decomposition estimate on K a (Ω), we show that the multigrid V -cycle converges uniformly for piecewise linear func...

Studies show that the performance of soil water content monitoring (SWCM) sensors is affected by soil physical and chemical properties. However, the effect of organic matter on SWCM sensor responses remains less understood. Therefore, the objectives of this study are to (i) assess the effect of organic matter on the accuracy and precision of SWCM sensors using a commercially available soil wate...