Publications et communications de Nicolas Marsic
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See detailEfficient methods for large-scale time-harmonic wave simulations
Marsic, Nicolas ULiege

Doctoral thesis (2016)

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See detailDomain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms
Marsic, Nicolas ULiege; Waltz, Caleb; Lee, Jin-Fa et al

in IEEE Transactions on Magnetics (2016), 52(3),

Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, Nédélec basis functions. This paper analyzes the ... [more ▼]

Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, Nédélec basis functions. This paper analyzes the convergence rate of DDM when higher order finite elements are used for both volume and interface discretizations, in particular when different orders are used in the volume and on the interfaces. [less ▲]

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See detailGetDDM: an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic Wave Problems
Thierry, Bertrand; Vion, Alexandre; Tournier, Simon et al

in Computer Physics Communications (2016), 203

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See detailEfficient finite element assembly of high order Whitney forms
Marsic, Nicolas ULiege; Geuzaine, Christophe ULiege

in IET Science, Measurement & Technology (2015), 9(2), 204-210

This study presents an efficient method for the finite element assembly of high order Whitney elements. The authors start by reviewing the classical assembly technique and by highlighting the most time ... [more ▼]

This study presents an efficient method for the finite element assembly of high order Whitney elements. The authors start by reviewing the classical assembly technique and by highlighting the most time consuming part. Then, they show how this classical approach can be reformulated into a computationally efficient matrix-matrix product. They also address the global orientation problem of the vector valued basis functions. They conclude by presenting numerical results for a three-dimensional wave propagation problem. [less ▲]

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See detailComputational advances in quasi-optimal domain decomposition methods for time-harmonic electromagnetic wave problems
Marsic, Nicolas ULiege; Vion, Alexandre ULiege; Geuzaine, Christophe ULiege

Conference (2015)

In this talk we will present recent advances in the construction of quasi-optimal domain decomposition methods for time-harmonic electromagnetic wave problems. In particular, we will discuss the parallel ... [more ▼]

In this talk we will present recent advances in the construction of quasi-optimal domain decomposition methods for time-harmonic electromagnetic wave problems. In particular, we will discuss the parallel implementation and computational efficiency of sweeping-type preconditioners, as well as the use of high order finite element discretizations, potentially mixing orders for the volume and interface formulations. Results on several large scale test cases will be analysed. [less ▲]

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See detailEfficient finite element assembly of high order Whitney forms
Marsic, Nicolas ULiege; Geuzaine, Christophe ULiege

in IET Conference Proceedings (2014)

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming ... [more ▼]

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming part. Then, we show how this classical approach can be reformulated into a computationally efficient matrix - matrix product. We also address the problem of the basis orientation by considering more than one reference space. We conclude by presenting numerical results on a wave guide problem. [less ▲]

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See detailParallel Finite Element Assembly of High Order Whitney Forms
Marsic, Nicolas ULiege; Geuzaine, Christophe ULiege

Conference (2014)

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming ... [more ▼]

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming part. This classical approach can be reformulated into a computationally efficient matrix-matrix product. We conclude by presenting numerical results on a wave guide problem. [less ▲]

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See detailParallel Finite Element Assembly of High Order Whitney Forms
Marsic, Nicolas ULiege; Geuzaine, Christophe ULiege

Conference (2014)

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by highlighting the most time consuming parts of the classical assembly technique. This ... [more ▼]

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by highlighting the most time consuming parts of the classical assembly technique. This approach can be reformulated into a computationally efficient matrix-matrix product. We conclude by presenting numerical results. [less ▲]

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See detailParallel Finite Element Assembly with High Order Whitney Elements on Curved Meshes
Marsic, Nicolas ULiege; Geuzaine, Christophe ULiege

Conference (2013)

There is a growing consensus that state of the art finite element technology requires, and will continue to require too extensive computational resources to provide the necessary resolution for complex ... [more ▼]

There is a growing consensus that state of the art finite element technology requires, and will continue to require too extensive computational resources to provide the necessary resolution for complex high-frequency electromagnetic compatibility (EMC) computations, even at the rate of computational power increase. The complexity of such EMC problems has indeed been rapidly increasing for the last few years, with ever tighter constraints on accuracy due to more stringent regulations, more elaborate and interconnected systems leading to very complex geometrical configurations, and wider frequency spectra to simulate due to the increasing frequency of power controllers. The requirement for high resolution naturally leads us to consider methods with a higher order of grid convergence than the classical (formal) 2nd order provided by most industrial grade codes. This indicates that higher-order discretization methods will replace at some point the finite element solvers of today, at least for part of their applications. In this talk we will present our research efforts towards developing a new generation of electromagnetic finite element solvers making efficient use of new massively parallel and hybrid computing architectures to assemble high-order Whitney elements on high-order (curved) meshes. [less ▲]

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