Publications related to Galerkin method

Partial Discharge Localization Using Time Reversal: Application to Power Transformers

Marcos Rubinstein, Mohammad Azadifar, Amirhossein Mostajabi, Hamidreza Karami

In this work, we present a novel technique to locate partial discharge (PD) sources based on the concept of time reversal. The localization of the PD sources is of interest for numerous applications, including the monitoring of power transformers, Gas Insu ...

2020

Isogeometric Discretizations of the Stokes Problem on Trimmed Geometries

Riccardo Puppi

The isogeometric approximation of the Stokes problem in a trimmed domain is studied. This setting is characterized by an underlying mesh unfitted with the boundary of the physical domain making the imposition of the essential boundary conditions a challeng ...

2020

Explicit dynamic approach for unbounded domains in frictional contact with Rate and State laws

Jean-François Molinari, Roozbeh Rezakhani

The paper explores the ability of an explicit time integration procedure to simulate the dynamics of shear rupture between unbounded elastic blocks on frictional interface, modeled with the finite element method. The behaviour of the interface is governed ...

ELSEVIER2020

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Qian Wang, Jan Sickmann Hesthaven

A physics-informed machine learning framework is developed for the reduced-order modeling of parametrized steady-state partial differential equations (PDEs). During the offline stage, a reduced basis is extracted from a collection of high-fidelity solution ...

2020

Compound micromachines powered by acoustic streaming

Mahmut Selman Sakar, Furkan Ayhan, Murat Kaynak

This paper presents the design, fabrication, and operation of compound micromachines powered by acoustic streaming. The machine components were directly incorporated around pillars serving as shafts without further assembly steps using a single-step in sit ...

IEEE2019

Compound micromachines powered by acoustic streaming

Mahmut Selman Sakar, Furkan Ayhan, Murat Kaynak

This paper presents the design, fabrication, and operation of compound micromachines powered by acoustic streaming. The machine components were directly incorporated around pillars serving as shafts without further assembly steps using a single-step in sit ...

IEEE2019

MATHICSE Technical Report : Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization

Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei, Riccardo Puppi

We present a novel method for isogeometric analysis (IGA) to directly work on geometries constructed by Boolean operations including difference (i.e., trimming), union and intersection. Particularly, this work focuses on the union operation, which involves ...

MATHICSE2019

SPar-K: a method to partition NGS signal data

Philipp Bucher, Romain Fernand Pietro Groux

We present SPar-K (Signal Partitioning with K-means), a method to search for archetypical chromatin architectures by partitioning a set of genomic regions characterized by chromatin signal profiles around ChIP-seq peaks and other kinds of functional sites. ...

OXFORD UNIV PRESS2019

MATHICSE Technical Report : A minimal stabilization procedure for isogeometric methods on trimmed geometries

Annalisa Buffa, Rafael Vazquez Hernandez, Riccardo Puppi

Trimming is a common operation in CAD, and, in its simplest formulation, consists in removing superfluous parts from a geometric entity described via splines (a spline patch). After trimming the geometric description of the patch remains unchanged, but the ...

MATHICSE2019

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Alfio Quarteroni, Andrea Manzoni

In this paper we propose a saddle point approach to solve boundary control problems for the steady Navier-Stokes equations with mixed Dirichlet-Neumann boundary conditions, both in two and three dimensions. We provide a comprehensive theoretical framework ...

AMER INST MATHEMATICAL SCIENCES-AIMS2019

Galerkin method

Partial Discharge Localization Using Time Reversal: Application to Power Transformers

Isogeometric Discretizations of the Stokes Problem on Trimmed Geometries

Explicit dynamic approach for unbounded domains in frictional contact with Rate and State laws

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Compound micromachines powered by acoustic streaming

Compound micromachines powered by acoustic streaming

MATHICSE Technical Report : Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization

SPar-K: a method to partition NGS signal data

MATHICSE Technical Report : A minimal stabilization procedure for isogeometric methods on trimmed geometries

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

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Physics-informed machine learning for reduced-order modeling of nonlinear problems

Compound micromachines powered by acoustic streaming

Compound micromachines powered by acoustic streaming

SPar-K: a method to partition NGS signal data

MATHICSE Technical Report : A minimal stabilization procedure for isogeometric methods on trimmed geometries

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Isogeometric Discretizations of the Stokes Problem on Trimmed Geometries

Partial Discharge Localization Using Time Reversal: Application to Power Transformers

MATHICSE Technical Report : Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization

Explicit dynamic approach for unbounded domains in frictional contact with Rate and State laws