An effective finite element Newton method for 2D p-Laplace equation with particular initial iterative function
نویسندگان
چکیده
منابع مشابه
ENCLOSURE METHOD FOR THE p-LAPLACE EQUATION
We study the enclosure method for the p-Calderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, wh...
متن کاملSchur complement method with iterative solver for 2D field- circuit coupling finite element problem with movement
The analysis and design of electromechanical devices involve the solution of large sparse linear systems, and require therefore high performance algorithms. In this paper, the Schur complement method with parallel preconditioned conjugate gradient (PCG) solver is introduced in two-dimensional parallel time-stepping finite element formulation to analyse rotating machine considering the electroma...
متن کاملFinite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملAn optimized finite element extrapolating method for 2D viscoelastic wave equation
In this study, we first present a classical finite element (FE) method for a two-dimensional (2D) viscoelastic wave equation and analyze the existence, stability, and convergence of the FE solutions. Then we establish an optimized FE extrapolating (OFEE) method based on a proper orthogonal decomposition (POD) method for the 2D viscoelastic wave equation and analyze the existence, stability, and...
متن کاملAn Iterative Method for Finite-Element Solutions of the Nonlinear Poisson-Boltzmann Equation
A finite-element approach combined with an efficient iterative method have been used to provide a numerical solution of the nonlinear Poisson-Boltzmann equation. The iterative method solves the nonlinear equations arising from the FE discretization procedure by a node-by-node calculation. The performance of the proposed method is illustrated by applying it to the problem of two identical colloi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2016
ISSN: 1029-242X
DOI: 10.1186/s13660-016-1223-9