Adaptive reduction of constitutive model-form error using a posteriori error estimation techniques

Implicit a Posteriori Error Estimation Using Patch Recovery Techniques

Implicit a posteriori error estimators are developed for elliptic boundary value problems. Local problems are formulated for the error and the corresponding Neumann type boundary conditions are approximated using a new family of gradient averaging procedure. The convergence properties of the implicit error estimator are discussed independently from that of the residual type error estimators, wh...

Implicit a Posteriori Error Estimation Using Patch Recovery Techniques

Implicit a posteriori error estimators are developed for elliptic boundary value problems. Local problems are formulated for the error and the corresponding Neumann type boundary conditions are approximated using a new family of gradient averaging procedure. The convergence properties of the implicit error estimator are discussed independently from that of the residual type error estimators, wh...

A 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...

On a Dimensional Reduction Method . III . A Posteriori Error Estimation and an Adaptive Approach

This paper is the last in a series of three which analyze an adaptive approximate approach for solving (n + l)-dimensional boundary value problems by replacing them with systems of equations in n-dimensional space. In this paper we show how to find reliable a posteriori estimates for the error and how these can also be used in the design of an adaptive strategy. Various numerical examples are c...

A posteriori error estimation for ellipti eigenproblems