Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Submit Date
Αποτελέσματα 21-40 από 1633
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Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains
(2019)A local radial basis function method (LRBF) is applied for the solution of boundary value problems in annular domains governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous Cauchy-Navier ...
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Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems
(2019)In the method of fundamental solutions (MFS), the solution of a boundary value problem (BVP) is approximated by a linear combination of fundamental solutions expressed in terms of sources which are located on a pseudo–boundary ...
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Kansa RBF method for nonlinear problems
(2018)We apply the Kansa–radial basis function (RBF) collocation method to two– dimensional nonlinear boundary value problems. The system of nonlinear equations resulting from the Kansa–RBF discretization is solved by directly ...
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Conference Object
On Generalized Stieltjes functions and their approximations
(University of Aegean, 2018)
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The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes
(2019)In this paper, the steady-state Oseen viscous flow equations past a known or unknown obstacle are solved numerically using the method of fundamental solutions (MFS), which is free of meshes, singularities, and numerical ...
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Relative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity
(2018)We extend the relative entropy identity to the class of hyperbolic–parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is useful for providing stability of viscous ...
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A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
(2018)We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Following the relative entropy formulation, ...
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Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
(2019)For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable ...
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Kansa-RBF algorithms for elliptic problems in regular polygonal domains
(2018)We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These ...
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Prediction of catastrophes in space over time
(2018)Predicting rare events, such as high level up-crossings, for spatio-temporal processes plays an important role in the analysis of the occurrence and impact of potential catastrophes in, for example, environmental settings. ...
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Shape parameter estimation in RBF function approximation
(2019)The radial basis function (RBF) collocation method is applied for the approximation of functions in two variables. When the RBFs employed include a shape parameter, the determination of an appropriate value for it is a ...
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Conference Object
Determination of shape parameter in RBF approximation
(WIT Press, 2019)We apply a radial basis function (RBF) collocation method for the approximation of functions in two dimensions. The solution is approximated by a linear combination of radial basis functions. The issue of determining the ...
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Conference Object
On L1-stability of BV solutions for a model of granular flow
(AIMS, 2019)
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Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
(2018)We consider the inverse problem of recovering an unknown functional parameter in a separable Banach space, from a noisy observation vector of its image through a known possibly non-linear map . We adopt a Bayesian approach ...
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Self-inverse and exchangeable random variables
(2013)A random variable Z will be called self-inverse if it has the same distribution as its reciprocal Z -1. It is shown that if Z is defined as a ratio, X / Y, of two rv's X and Y (with P[X=0]=P[Y=0]=0), then Z is self-inverse ...
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Finite element approximation of reaction–diffusion problems using an exponentially graded mesh
(2018)We present the analysis of an h version Finite Element Method for the approximation of the solution to singularly perturbed reaction–diffusion problems posed in smooth domains Ω⊂R2. The method uses piecewise polynomials ...
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On the regularity of the non-dynamic parabolic fractional obstacle problem
(2018)In the class of the non-dynamic Fractional Obstacle Problems of parabolic type, it is shown existence, uniqueness, apriori bounds of the solution and optimal regularity of the space derivatives of the solution. Furthermore, ...
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Parabolic Obstacle Problems. Quasi-convexity and Regularity
(2019)In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.