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نتایج جستجو برای Static condensation

تعداد نتایج: 99012  
2013
SYLVAIN VALLAGHÉ, Sylvain Vallaghé,

We present a new approach for fast, flexible and reliable simulations of parameterdependent parabolic problems with a component-based geometry. The static condensation reduced basis element (SCRBE) is a domain decomposition method with reduced basis (RB) approximation at the intradomain level to populate a Schur complement at the interdomain level. In the Offline stage, for a library of archety...

Journal: :SIAM J. Scientific Computing 2016
Kathrin Smetana, Anthony T. Patera,

In this paper we introduce local approximation spaces for component-based static condensation (sc) procedures that are optimal in the sense of Kolmogorov. To facilitate simulations for large structures such as aircrafts or ships it is crucial to decrease the number of degrees of freedom on the interfaces, or “ports”, in order to reduce the size of the statically condensed system. To derive opti...

Journal: :CoRR 2018
Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter,

In this paper, we introduce a domain-specific language (DSL) for concisely expressing localized linear algebra on finite element tensors and its integration within a code-generation framework. This DSL is general enough to facilitate the automatic generation of element-based dense linear algebra kernels necessary for the implementation of static condensation methods and local solvers for a vari...

2012
D. B. P. Huynh,

We apply the static condensation reduced basis element (scRBE) method to treat the class of parametrized complex Helmholtz partial differential equation. We construct a set of components of interoperable parametrized reference components in a Library to model a family of target models relevant to acoustic devices. The components in the Library are built upon the scRBE method by using RB formula...

2012
Jens L. Eftang, Anthony T. Patera,

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...

2013
Kathrin Smetana,

In this talk we introduce a new certification framework for the port-reduced static condensation reduced basis element (PR-SCRBE) method [1, 3], which has been developed for the simulation of large component based applications such as bridges or acoustic waveguides. In an offline computational stage we construct a library of interoperable parametrized reference components; in the subsequent onl...

Journal: :SIAM J. Scientific Computing 2014
Sylvain Vallaghé, Anthony T. Patera,

We propose a new approach for the simulation of conjugate heat exchangers. First, we introduce a dimensionality-reduced mathematical model for conjugate (fluid-solid) heat transfer: in the fluid channels, we consider a mixed-mean temperature defined on one-dimensional filaments; in the solid we consider a detailed partial differential equation conduction representation. We then propose a Petrov...

2013
Jens L. Eftang, Anthony T. Patera,

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...

2003
Alan W. Dove,

he movements of cilia and flagella are driven by axonemal dynein ATPases, whose activity must be coordinated in space and time. On page 47, Rupp and Porter provide the first molecular characterization of a component of the dynein regulatory complex (DRC), a crucial but poorly understood regulator of flagellar movement. Besides suggesting a model for DRC assembly, the work identifies a possible ...

Journal: :Acta Crystallographica Section F: Structural Biology and Crystallization Communications 2008
P. P. Paufler,

Works intended for this column should be sent direct to the Book-Review Editor, whose address appears in this issue. All reviews are also available from Crystallography Journals Online, supplemented where possible with direct links to the publisher's information. The following books have been received by the Editor. Uncritical notices are given under this heading instead of reviews in order to ...