Browsing by Subject "Boundary value problems"
Now showing items 120 of 48

Article
An analytical method for linear elliptic PDEs and its numerical implementation
(2004)A new numerical method for solving linear elliptic boundary value problems with constant coefficients in a polygonal domain is introduced. This method produces a generalized DirichletNeumann map: given the derivative of ...

Article
Boundary value problems for quasilinear ODEs
(2005)A priori bounds for the quasilinear ordinary differential equations (ODE), are discussed. A priori bounds for the derivative of the solution of onedimensional pLaplacian are proved. The global solvability of quasilinear ...

Article
A C1conforming hp finite element method for fourth order singularly perturbed boundary value problems
(2016)We consider a fourth order singularly perturbed boundary value problem (BVP) in onedimension and the approximation of its solution by the hp version of the Finite Element Method (FEM). The given problem's boundary conditions ...

Article
Comparison of two methods for the computation of singular solutions in elliptic problems
(1997)We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finiteelement method in which the solution is ...

Article
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
(2008)In this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simplyconnected domains into harmonic Dirichlet problems that are defined in the unit disk. We ...

Article
Conformal Mapping for the Efficient Solution of Poisson Problems with the KansaRBF Method
(2017)We consider the solution of Poisson Dirichlet problems in simplyconnected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using ...

Article
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
(1993)Four and sixelement conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on ...

Article
Efficient implementation of the MFS: The three scenarios
(2009)In this study we investigate the approximation of the solutions of harmonic problems subject to Dirichlet boundary conditions by the Method of Fundamental Solutions (MFS). In particular, we study the application of the MFS ...

Conference Object
Generation of a focused electromagnetic field inside a tissue medium by using short baseband pulses
(1998)The possibility to achieve focusing in a threelayer cylindrical biological tissue model, by using concentrically placed TEM waveguide applicators excited by short baseband pulses, is examined rigorously. The medium response ...

Conference Object
Generation of a focused electromagnetic field inside a tissue medium by using short baseband pulses
(1998)The possibility to achieve focusing in a threelayer cylindrical biological tissue model, by using concentrically placed TEM waveguide applicators excited by short baseband pulses, is examined rigorously. The medium response ...

Article
An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions
(2017)We consider a fourth order singularly perturbed boundary value problem posed in a square and the approximation of its solution by the hp version of the finite element method on the socalled Spectral Boundary Layer mesh. ...

Article
hp finite element methods for fourth order singularly perturbed boundary value problems
(2013)We consider fourth order singularly perturbed boundary value problems (BVPs) in onedimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem's boundary ...

Doctoral Thesis Open Access
hpFinite element methods fourthorder singularly perturbed problems
(Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών / University of Cyprus, Faculty of Pure and Applied Sciences, 201905)Η διατριβή αφορά προβλήματα 4ης τάξης, στη μια και δύο διαστάσεις, τα οποία είναι διαταραγμένα με ιδιόμορφο / ιδιάζοντα τρόπο. Η λύση τέτοιων προβλημάτων περιέχει συνοριακά στρώματα. Έχουμε δύο στόχους: πρώτα θέλουμε να ...

Article

Article
A KansaRadial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansaradial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...

Article
KansaRBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansaradial basis function method for the numerical solution of elliptic boundary value problems in threedimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...

Article
Lie symmetries of generalized Burgers equations: application to boundaryvalue problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundaryvalue problems for partial differential equations modelling realworld phenomena to those problems for ordinary differential equations. ...

Article
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems
(2003)We consider the solution of various boundary value problems for the Helmholtz equation in the unit square using a nodal cubic spline collocation method and modifications of it which produce optimal (fourth) order ...

Article
A matrix decomposition MFS algorithm for axisymmetric potential problems
(2004)The method of fundamental solutions is a boundarytype meshless method for the solution of certain elliptic boundary value problems. By exploiting the structure of the matrices appearing when this method is applied to ...

Article
A matrix decomposition MFS algorithm for biharmonic problems in annular domains
(2004)The Method of Fundamental Solutions (MFS) is a boundarytype method for the solution of certain elliptic boundary value problems. In this work, we develop an efficient matrix decomposition MFS algorithm for the solution ...