A posteriori error estimates for boundary element methods
نویسندگان
چکیده
منابع مشابه
A Posteriori Error Estimates for Boundary Element Methods
This paper deals with a general framework for a posteriori error estimates in boundary element methods which is specified for three examples, namely Symm's integral equation, an integral equation with a hypersingular operator, and a boundary integral equation for a transmission problem. Based on these estimates, an analog of Eriksson and Johnson's adaptive finite element method is proposed for ...
متن کاملInstitut F Ur I F Am Angewandte Mathematik a Posteriori Error Estimates for Hp { Boundary Element Methods a Posteriori Error Estimates for Hp { Boundary Element Methods
This paper presents a posteriori error estimates for the hp{version of the boundary element method. We discuss two rst kind integral operator equations, namely Symm's integral equation and the integral equation with a hypersingular operator. The computable upper error bounds indicate an algorithm for the automatic hp{adaptive mesh{reenement. The eeciency of this method is shown by numerical exp...
متن کاملA Posteriori Error Estimation for Adaptive Iga Boundary Element Methods
A posteriori error estimation and adaptive mesh-refinement are well-established and important tools for standard boundary element methods (BEM) for polygonal boundaries and piecewise polynomial ansatz functions (see e.g. the seminal work [1] for the derivation of the weighted-residual error estimator and [5] for convergence even with optimal rates). In contrast, the mathematically reliable a po...
متن کاملA posteriori boundary element error estimation (
An a posteriori error estimator is presented for the boundary element method in a general framework. It is obtained by solving local residual problems for which a local concept is introduced to accommodate the fact that integral operators are nonlocal operators. The estimator is shown to have an upper and a lower bound by the constant multiples of the exact error in the energy norm for Symm’s a...
متن کاملEquivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.
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: Mathematics of Computation
سال: 1995
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1995-1277764-7