Publications related to Spectral method

Robust mass lumping and outlier removal strategies in isogeometric analysis

Annalisa Buffa, Espen Sande, Yannis Dirk Voet

Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consistent mass matrix and increase the critical time step. In isogeometric analysi ...

2024

An optimal preconditioned FFT-accelerated finite element solver for homogenization

Till Junge, Ali Falsafi, Martin Ladecký

We generalize and provide a linear algebra-based perspective on a finite element (FE) ho-mogenization scheme, pioneered by Schneider et al. (2017)[1] and Leuschner and Fritzen (2018)[2]. The efficiency of the scheme is based on a preconditioned, well-scale ...

ELSEVIER SCIENCE INC2023

Accurate Measurement of Dynamic ON-Resistance in GaN Transistors at Steady-State

Elison de Nazareth Matioli, Hongkeng Zhu

Accurate characterization of the dynamic ON-resistance (RON) degradation is important to predict conduction losses for gallium nitride high-electron-mobility transistors (GaN HEMTs). However, even for the same device, many inconsistent results of dynamic R ...

2023

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Jan Sickmann Hesthaven, Hermes Sampedro Llopis

The use of model-based numerical simulations of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively, which is computationally expensive. We present a reduced basis metho ...

ACOUSTICAL SOC AMER AMER INST PHYSICS2022

Contact.engineering-Create, analyze and publish digital surface twins from topography measurements across many scales

Till Junge, Abhijeet Gujrati

The optimization of surface finish to improve performance, such as adhesion, friction, wear, fatigue life, or interfacial transport, occurs largely through trial and error, despite significant advancements in the relevant science. There are three central c ...

IOP Publishing Ltd2022

Fast global spectral methods for three-dimensional partial differential equations

Daniel Kressner, Christoph Max Strössner

Global spectral methods offer the potential to compute solutions of partial differential equations numerically to very high accuracy. In this work, we develop a novel global spectral method for linear partial differential equations on cubes by extending th ...

OXFORD UNIV PRESS2022

Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

Jan Sickmann Hesthaven, Deep Ray

A projection-based reduced order model (ROM) based on the Fourier collocation method is proposed for compressible flows. The incorporation of localized artificial viscosity model and filtering is pursued to enhance the robustness and accuracy of the ROM fo ...

GLOBAL SCIENCE PRESS2022

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi

This work introduces a reduced order modeling (ROM) framework for the solution of parameterized second-order linear elliptic partial differential equations formulated on unfitted geometries. The goal is to construct efficient projection-based ROMs, which r ...

2022

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks

Jan Sickmann Hesthaven, Deep Ray, Lukas Schwander

While a nonlinear viscosity is used widely to control oscillations when solving conservation laws using high-order elements based methods, such techniques are less straightforward to apply in global spectral methods since a local estimate of the solution r ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

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Spectral method

Robust mass lumping and outlier removal strategies in isogeometric analysis

An optimal preconditioned FFT-accelerated finite element solver for homogenization

Accurate Measurement of Dynamic ON-Resistance in GaN Transistors at Steady-State

Geometrical Treatise on the Modelling of 3D Particulate Inclusion-Matrix Microstructures with an Application to Historical Stone Masonry Walls

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Contact.engineering-Create, analyze and publish digital surface twins from topography measurements across many scales

Fast global spectral methods for three-dimensional partial differential equations

Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks

Graph Chatbot

Chat with Graph Search

Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

Geometrical Treatise on the Modelling of 3D Particulate Inclusion-Matrix Microstructures with an Application to Historical Stone Masonry Walls

Robust mass lumping and outlier removal strategies in isogeometric analysis

An optimal preconditioned FFT-accelerated finite element solver for homogenization

Accurate Measurement of Dynamic ON-Resistance in GaN Transistors at Steady-State

Fast global spectral methods for three-dimensional partial differential equations

Contact.engineering-Create, analyze and publish digital surface twins from topography measurements across many scales

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks