Solution by relaxation methods of plane potential problems with mixed boundary conditions
نویسندگان
چکیده
منابع مشابه
Boundary element methods for potential problems with nonlinear boundary conditions
Galerkin boundary element methods for the solution of novel first kind Steklov–Poincaré and hypersingular operator boundary integral equations with nonlinear perturbations are investigated to solve potential type problems in twoand three-dimensional Lipschitz domains with nonlinear boundary conditions. For the numerical solution of the resulting Newton iterate linear boundary integral equations...
متن کاملMixed Finite Element Methods for Problems with Robin Boundary Conditions
We derive new a-priori and a-posteriori error estimates for mixed nite element discretizations of second-order elliptic problems with general Robin boundary conditions, parameterized by a non-negative and piecewise constant function ε ≥ 0. The estimates are robust over several orders of magnitude of ε, ranging from pure Dirichlet conditions to pure Neumann conditions. A series of numerical expe...
متن کاملA Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions
In this article, we concerned with the development of a method for solving two point boundary value problems of ordinary differential equations. To develop method, we consider derivative of solution of a problem as an intermediate problem (IP). The analytical solution of the problem and IP were locally approximated by a nonlinear function with fixed step length. Some numerical experiments have ...
متن کاملThe Performance of Numerical Methods for Elliptic Problems with Mixed Boundary Conditions
..We consider solving linear, second order, elliptic par~ial differential equations with boundary conditions of type Dirichlet (Dffi), mixed (MIX) and Neumann (NEU) and using software modules which implement five numerical methods: Hennite collocation plus band Gauss elimination (HC), ordinary finite differences plus band Gauss elimination (SP), ordinary finite differences with Dyakanov iterati...
متن کاملIntegral equation methods for elliptic problems with boundary conditions of mixed type
Laplace’s equation with mixed boundary conditions, that is, Dirichlet conditions on parts of the boundary and Neumann conditions on the remaining contiguous parts, is solved on an interior planar domain using an integral equation method. Rapid execution and high accuracy is obtained by combining equations which are of Fredholm’s second kind with compact operators on almost the entire boundary w...
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: Quarterly of Applied Mathematics
سال: 1944
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/10679