Search Results - "elliptic partial differential equation"
-
1
CVBEM for a system of second-order elliptic partial differential equations
Published 1998“…A boundary element method based on the Cauchy's integral formulae and the theory of complex hypersingular integrals is devised for the numerical solution of boundary value problems governed by a system of second-order elliptic partial differential equations• The elliptic system has applications in physical problems involving anisotropic media• © 1998 Elsevier Science Ltd. …”
Get full text
Get full text
-
2
-
3
-
4
-
5
-
6
Wavelet neural networks based solutions for elliptic partial differential equations with improved butterfly optimization algorithm training
Published 2020“…In this study, a machine learning approach based on the unsupervised version of wavelet neural networks (WNNs) is used to solve two-dimensional elliptic partial differential equations (PDEs). The design of the WNNs must be judiciously addressed, particularly, the adopted training algorithm, since it greatly influences the generalization performance and the convergence rate of WNNs. …”
Get full text
Get full text
-
7
Numerical solution of elliptic partial differential equations by Haar wavelet operational matrix method / Nor Artisham Che Ghani
Published 2012“…The purpose of this study is to establish a simple numerical method based on the Haar wavelet operational matrix of integration for solving two dimensional elliptic partial differential equations of the form, Ñ2u(x, y) + ku(x, y) = f (x, y) with the Dirichlet boundary conditions. …”
Get full text
Get full text
Get full text
Get full text
-
8
Numerical solution of elliptic partial differential equations by haar wavelet operational matrix method / Nor Artisham Che Ghani
Published 2012“…The purpose of this study is to establish a simple numerical method based on the Haar wavelet operational matrix of integration for solving two dimensional elliptic partial differential equations of the form, Ñ2u(x, y) + ku(x, y) = f (x, y) with the Dirichlet boundary conditions. …”
Get full text
Get full text
-
9
Splitting strategies for preconditioned explicit group schemes
Published 2006“…The aim of this paper is to study the performance of the Explicit Group (EG) method (Evans & Yousif 1986) preconditioned by a specific ‘splitting’ approach in solving the two dimensional elliptic partial differential equation. Our goal in this work is to investigate whether the performance of this group method is affected by this preconditioner. …”
Get full text
-
10
The halfsweeps multigrid method as a fast multigrid Poisson solver
Published 1998“…Abdullah, 1991) is used to develop the halfsweeps multigrid method to solve the 2-D elliptic partial differential equation with the Dirichlet boundary conditions. …”
Get full text
Get full text
Get full text
-
11
Existence of solutions to various classes of nonlinear elliptic differential equations and their applications
Published 2020“…This thesis is devoted to the study of various classes of nonlinear elliptic partial differential equations with nonlocal terms, which arise from many disciplinary fields. …”
Get full text
-
12
A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
Published 2008“…In this work we consider the hyperbolic and elliptic partial differential equations with constant coefficients; then by using double convolutions we produce new equations with polynomial coefficients and classify the new equations. …”
Get full text
Get full text
-
13
A new octo-sweep iterative method for solving two-dimensional elliptic equations.
Published 2012“…The main aim of this paper is to examine a new point iterative method known as octo-sweep iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the quarter-, half- and full-sweep iterative methods. …”
Get full text
Get full text
-
14
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
Published 2006“…We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations. Computable upper and lower bounds on the error are derived in terms of a natural (mesh-dependent) energy norm. …”
Get full text
-
15
A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
Published 2012“…The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-sweep iterative methods. …”
Get full text
Get full text
-
16
Discontinuous Galerkin methods for problems with Dirac delta source
Published 2011“…In this article we study discontinuous Galerkin finite element discretizations of linear second-order elliptic partial differential equations with Dirac delta right-hand side. …”
Get full text
-
17
Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
Published 2005“…For the discretization of the leading order terms, we propose employing the generalization of the symmetric version of the interior penalty method, originally developed for the numerical approximation of linear self-adjoint second-order elliptic partial differential equations. In order to solve the resulting system of nonlinear equations, we exploit a (damped) Newton-GMRES algorithm. …”
Get full text
-
18
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
Published 2014“…In this article we consider the application of Schwarz-type domain decomposition preconditioners for discontinuous Galerkin finite element approximations of elliptic partial differential equations posed on complicated domains, which are characterized by small details in the computational domain or microstructures. …”
Get full text
-
19
MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
Published 2010“…Based on the same scheme, the aim of this paper is to investigate the capability of a family of four-point block iterative methods with a weighted parameter,ω such as the 4 Point-EGSOR, 4 Point-EDGSOR, and 4 Point-MEGSOR in solving two-dimensional elliptic partial differential equations by using the second-order finite difference approximation. …”
Get full text
-
20
hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
Published 2014“…In this paper we develop the a posteriori error estimation of hp-version discontinuous Galerkin composite finite element methods for the discretization of second order elliptic partial differential equations. This class of methods allows for the approximation of problems posed on computational domains which may contain a huge number of local geometrical features, or micro-structures. …”
Get full text