An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations
نویسندگان
چکیده
منابع مشابه
An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations
In this work we present an efficient a posteriori output error bound for model order reduction of parametrized evolution equations. With the help of the dual system and a simple representation of the relationship between the field variable error and the residual of the primal system, the output error bound can be estimated sharply. Such an error bound successfully avoids the accumulation of the...
متن کاملAn Efficient Method for Model Reduction in Diffuse Optical Tomography
We present an efficient method for the reduction of model equations in the linearized diffuse optical tomography (DOT) problem. We first implement the maximum a posteriori (MAP) estimator and Tikhonov regularization, which are based on applying preconditioners to linear perturbation equations. For model reduction, the precondition is split into two parts: the principal components are consid...
متن کاملAn efficient reduced-order modeling approach for non-linear parametrized partial differential equations
For general non-linear parametrized partial differential equations (PDEs), the standard Galerkin projection is no longer efficient to generate reduced-order models. This is because the evaluation of the integrals involving the non-linear terms has a high computational complexity and cannot be pre-computed. This situation also occurs for linear equations when the parametric dependence is nonaffi...
متن کاملModel order reduction of parametrized nonlinear reaction-diffusion systems
We present a model order reduction technique for parametrized nonlinear reaction-diffusion systems. In our approach we combine the reduced basis method — a computational framework for rapid evaluation of functional outputs associated with the solution of parametrized partial differential equations — with the empirical interpolation method — a tool to construct “affine” coefficient-function appr...
متن کاملAn Efficient Numerical Algorithm For Solving Linear Differential Equations of Arbitrary Order And Coefficients
Referring to one of the recent works of the authors, presented in~cite{differentialbpf}, for numerical solution of linear differential equations, an alternative scheme is proposed in this article to considerably improve the accuracy and efficiency. For this purpose, triangular functions as a set of orthogonal functions are used. By using a special representation of the vector forms of triangula...
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: IFAC-PapersOnLine
سال: 2015
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2015.05.096