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Randomized Incremental Construction of Delaunay Triangulations of Nice Point Sets
Randomized incremental construction (RIC) is one of the most important paradigms for building geometric data structures. Clarkson and Shor developed...
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Canonical tessellations of decorated hyperbolic surfaces
A decoration of a hyperbolic surface of finite type is a choice of circle, horocycle or hypercycle about each cone-point, cusp or flare of the...
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Boundary Layer Mesh Generation with Fast Collision Detection
AbstractNormal computation and front intersection detection for boundary layer mesh generation are the most time-consuming parts in implementing a...
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Performances of the Mixed Virtual Element Method on Complex Grids for Underground Flow
The numerical simulation of physical processes in the underground frequently entails challenges related to the geometry and/or data. The former are...
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Computational Conformal Geometric Methods for Vision
Conformal geometry studies the geometric properties of objects invariant under conformal transformation group. It is a powerful theoretic tool to...
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Moving-Mesh Finite-Volume Methods for Hyperbolic Interface Dynamics
The numerical discretization of continuum-mechanical free boundary value problems for hyperbolic conservation laws becomes challenging when the...
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Automatic Block-Structured Grid Generation in Turbo Machine Blade Passages by TurboR&D.Mesher Software
AbstractThis article describes the methodology of generating block-structured computational grids for turbomachine blade passages implemented in the...
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Topological Data Analysis
It has been observed since a long time that data are often carrying interesting topological and geometric structures. Characterizing such structures...
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On the condition number of the finite element method for the Laplace–Beltrami operator
We give an upper bound for the condition number of the finite element operator for the Laplace-Beltrami operator on closed surfaces immersed in
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Hybrid Voronoi Mesh Generation: Algorithms and Unsolved Problems
AbstractWe consider problem of constructing Voronoi mesh where the union of Voronoi cells approximates the computational domain with a piecewise...
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Approximations and Interpolation
The representation and approximation of functions is central to the practice of numerical analysis and scientific computation. The oldest of these is...
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Computational Conformal Geometric Methods for Vision
Conformal geometry studies the geometric properties of objects invariant under conformal transformation group. It is a powerful theoretic tool to...
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Model of Radiation-Induced Thermomechanical Effects in Heterogeneous Finely Dispersed Materials
AbstractA complex model for supercomputing the parameters of radiation-induced thermomechanical fields in heterogeneous media of a complex dispersed...
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Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
In this paper, we first derive a theoretical basis for spherical conformal parameterizations between a simply connected closed surface
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Some Virtual Element Methods for Infinitesimal Elasticity Problems
The chapter presents Virtual Element Methods for linear elasticity. In particular, displacement based methods stemming from the principle of virtual...
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Arithmetic Structure of the Spectrum and Crystalline Measures
We consider applications of the trace formula and spectral theory of metric graphs in Fourier analysis. It turns out that spectral measures...
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Numerical Solution of a Two Dimensional Tumour Growth Model with Moving Boundary
We consider a biphasic continuum model for avascular tumour growth in two spatial dimensions, in which a cell phase and a fluid phase follow...
