Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis
نویسندگان
چکیده
منابع مشابه
Online Checkpointing for Parallel Adjoint Computation in PDEs: Application to Goal-Oriented Adaptivity and Flow Control
The computation of derivatives for the optimization of timedependent flow problems is based on the integration of the adjoint differential equation. For this purpose, the knowledge of the complete forward solution is required. Similar information is needed for a posteriori error estimation with respect to a given functional. In the area of flow control, especially for three dimensional problems...
متن کاملModel Adaptivity for Goal-Oriented Inference
In scientific and engineering contexts, physical systems are represented by mathematical models, characterized by a set of parameters. The inverse problem arises when the parameters are unknown and one tries to infer these parameters based on observations. Solving the inverse problem can require many model simulations, which may be expensive for complex models; multiple models of varying fideli...
متن کاملOn goal-oriented adaptivity for elliptic optimal control problems
The paper proposes goal-oriented error estimation and mesh refinement for optimal control problems with elliptic PDE constraints using the value of the reduced cost functional as quantity of interest. Error representation, hierarchical error estimators, and greedy-style error indicators are derived and compared to their counterparts when using the all-at-once cost functional as quantity of inte...
متن کاملVerification of Goal-oriented Hp-adaptivity
The paper presents calculations for the radiation of a loop antenna wrapped around a metallic cylinder into a conductive medium. The problem has been solved analytically by using Fourier transform and Bessel functions. The evaluation of the analytical solution, involves the use of exponentially scaled Bessel functions, and FFT to evaluate inverse Fourier transform, with all computations done in...
متن کاملGoal - Oriented Error Estimation and Adaptivity for theFinite Element
In this paper, we study a new approach in a posteriori error estimation, in which the numerical error of nite element approximations is estimated in terms of quantities of interest rather than the classical energy norm. These so-called quantities of interest are characterized by linear functionals on the space of functions to where the solution belongs. We present here the theory with respect t...
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: International Journal for Numerical Methods in Engineering
سال: 2018
ISSN: 0029-5981
DOI: 10.1002/nme.5996