Publications related to A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty

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

Efficient lattice Green's function method for bounded domain problems

William Curtin, Max Ludwig Hodapp, Ankit Gupta

The lattice Green's function method (LGFM) is the discrete counterpart of the continuum boundary element method and is a natural approach for solving intrinsically discrete solid mechanics problems that arise in atomistic-continuum coupling methods. Here, ...

WILEY2022

Quadrature-free immersed isogeometric analysis

Pablo Antolin Sanchez, Thibaut Hirschler

This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the eva ...

SPRINGER2022

Efficient Meso-Scale Modeling of Alkali-Silica-Reaction Damage in Concrete

Ali Falsafi

The alkali-silica reaction (ASR), also known as concrete cancer, is one of the most prevalent causes of concrete degradation. In this chemical reaction, amorphous silica in the aggregates reacts with alkalis in the pore solution. By absorbing water, hydrop ...

EPFL2022

Dynamical low rank approximation for uncertainty quantification of time-dependent problems

Eva Vidlicková

The quantification of uncertainties can be particularly challenging for problems requiring long-time integration as the structure of the random solution might considerably change over time. In this respect, dynamical low-rank approximation (DLRA) is very a ...

EPFL2022

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Simone Deparis

The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes ...

2022

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

Riccardo Puppi

Modern manufacturing engineering is based on a ``design-through-analysis'' workflow. According to this paradigm, a prototype is first designed with Computer-aided-design (CAD) software and then finalized by simulating its physical behavior, which usually i ...

EPFL2022

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Michaël Unser, Shayan Aziznejad, Joaquim Gonçalves Garcia Barreto Campos

We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we restrict the search space to the span of piecewise-linear box splines shi ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Efficient algorithms for wave problems

Boris Bonev

Wave phenomena manifest in nature as electromagnetic waves, acoustic waves, and gravitational waves among others.Their descriptions as partial differential equations in electromagnetics, acoustics, and fluid dynamics are ubiquitous in science and engineeri ...

EPFL2021

MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines

Xiaodong Wei

We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input co ...

MATHICSE2021

A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty

Efficient lattice Green's function method for bounded domain problems

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Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Efficient lattice Green's function method for bounded domain problems

Quadrature-free immersed isogeometric analysis

Efficient Meso-Scale Modeling of Alkali-Silica-Reaction Damage in Concrete

Dynamical low rank approximation for uncertainty quantification of time-dependent problems

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Efficient algorithms for wave problems

MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Quadrature-free immersed isogeometric analysis

Efficient Meso-Scale Modeling of Alkali-Silica-Reaction Damage in Concrete

Dynamical low rank approximation for uncertainty quantification of time-dependent problems

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

Efficient algorithms for wave problems

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines