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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 ...
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 ...
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 ...
On Generalized Stieltjes functions and their approximations
(University of Aegean, 2018)
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 ...
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 ...
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, ...
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 ...