Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Einar M. Rønquist"'
Publikováno v:
Modeling, Identification and Control, Vol 27, Iss 2, Pp 79-94 (2006)
The reduced basis element method is a new approach for approximating the solution of problems described by partial differential equations. The method takes its roots in domain decomposition methods and reduced basis discretizations (Fink & Rheinboldt
Externí odkaz:
https://doaj.org/article/fce9bd6146b247ce9c02de66809a45ac
Autor:
Einar M. Rønquist, Terje Sira
Publikováno v:
Modeling, Identification and Control, Vol 5, Iss 2, Pp 103-111 (1984)
The ac fields in electrically insulated conductors will interact through the surrounding electromagnetic fields. The pertinent field equations reduce to the Helmholtz equation inside each conductor (interior problem), and to the Laplace equation outs
Externí odkaz:
https://doaj.org/article/05c7c3ae48e442c594b01f56a4986785
Autor:
Einar M. Rønquist, Tormod Bjøntegaard
Publikováno v:
Journal of Computational Physics. 231:6514-6531
We extend the computational method presented in [1] for tracking an interface immersed in a given velocity field to three spatial dimensions. The proposed method is particularly relevant to the simulation of unsteady free surface problems using the a
Publikováno v:
Communications in Computational Physics. 11:893-924
In this paper we study Bénard-Marangoni convection in confined containers where a thin fluid layer is heated from below. We consider containers with circular, square and hexagonal cross-sections. For Marangoni numbers close to the critical Marangoni
Publikováno v:
IFAC Proceedings Volumes. 45:695-699
We introduce a framework for adaptive reduction of the degrees of freedom associated with ports in static condensation (SC). We apply this framework to the SC reduced basis (RB) method and thus combine parametric model order reduction for the interio
Publikováno v:
Computers & Fluids. 52:22-32
We describe a parallel implementation of the tensor-product solver derived in Kvarving et al. (2010) [19] and Bjontegaard et al. (2009) [6] . A combined distributed/shared memory model is chosen, since the flexibility allows us to map the algorithm b
Publikováno v:
Journal of Scientific Computing. 52:603-618
In this paper we discuss spectral approximations of the Poisson equation in deformed quadrilateral domains. High order polynomial approximations are used for both the solution and the representation of the geometry. Following an isoparametric approac
Autor:
Einar M. Rønquist, Jens L. Eftang
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 20:351-374
In this paper, we consider the evaluation of flux integral outputs from reduced basis solutions to second-order PDEs. In order to evaluate such outputs, a lifting function v⋆ must be chosen. In the standard finite element context, this choice is no
Publikováno v:
SIAM Journal on Scientific Computing. 32:3170-3200
We present a new “$hp$” parameter multidomain certified reduced basis (RB) method for rapid and reliable online evaluation of functional outputs associated with parametrized elliptic partial differential equations. We propose, and provide theoret
Autor:
Tormod Bjøntegaard, Einar M. Rønquist
Publikováno v:
Journal of Computational Physics. 228:4379-4399
We present a new method for tracking an interface immersed in a given velocity field which is particularly relevant to the simulation of unsteady free surface problems using the arbitrary Lagrangian-Eulerian (ALE) framework. The new method has been c