Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
نویسندگان
چکیده
منابع مشابه
Port Reduction in Parametrized Component Static Condensation: Approximation and A Posteriori Error Estimation∗
We introduce a port (interface) approximation and a posteriori error bound framework for a general component-based static condensation method in the context of parameter-dependent linear elliptic partial differential equations. The key ingredients are i) efficient empirical port approximation spaces — the dimensions of these spaces may be chosen small in order to reduce the computational cost a...
متن کاملPort Reduction in Component-Based Static Condensation for Parametrized Problems: Approximation and A Posteriori Error Estimation∗
We introduce a port (interface) approximation and a posteriori error bound framework for a general component–based static condensation method in the context of parameter–dependent elliptic partial differential equations. The key ingredients are i) efficient empirical port approximation spaces — the dimensions of these spaces may be chosen small in order to reduce the computational cost associat...
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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized elliptic coercive partial differential equations. The essential ingredients are (primal-dual) Galerkin projection onto a low-dimensional space associated with a smooth “parametric manifold” — dimension reduction; efficient and ef...
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In this chapter we consider reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized linear and non-linear parabolic partial differential equations. The essential ingredients are Galerkin projection onto a low-dimensional space associated with a smooth “parametric manifold” — dimension reduction; efficient and effective Greedy and POD-...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2013
ISSN: 0029-5981
DOI: 10.1002/nme.4543