John A. Evans | DeepAI

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∙ 07/14/2023

Stabilized Isogeometric Collocation Methods for Hyperbolic Conservation Laws

We introduce stabilized spline collocation schemes for the numerical sol...

0 Ryan M. Aronson, et al. ∙

∙ 06/22/2023

In Situ Framework for Coupling Simulation and Machine Learning with Application to CFD

Recent years have seen many successful applications of machine learning ...

0 Riccardo Balin, et al. ∙

∙ 06/01/2023

Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow

In this work we adapt classical residual-based stabilization techniques ...

0 Ryan M. Aronson, et al. ∙

∙ 01/10/2023

Divergence-Conforming Isogeometric Collocation Methods for the Incompressible Navier-Stokes Equations

We develop two isogeometric divergence-conforming collocation schemes fo...

0 Ryan M. Aronson, et al. ∙

∙ 12/01/2022

Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines

This paper presents an immersed, isogeometric finite element framework t...

0 Mathias Schmidt, et al. ∙

∙ 09/14/2022

Interpolation-based immersed finite element and isogeometric analysis

We introduce a new paradigm for immersed finite element and isogeometric...

0 Jennifer E. Fromm, et al. ∙

∙ 03/04/2022

Constructing Nitsche's method for variational problems

Nitsche's method is a well-established approach for weak enforcement of ...

0 Joseph Benzaken, et al. ∙

∙ 02/09/2022

A note on the conservation properties of the generalized-α method

We show that the second-order accurate generalized-α method on a uniform...

0 DeAnna S. Gilchrist, et al. ∙

∙ 01/27/2022

Skeleton-stabilized divergence-conforming B-spline discretizations for highly advective incompressible flow problems

We consider a stabilization method for divergence-conforming B-spline di...

0 Guoxiang Grayson Tong, et al. ∙

∙ 01/06/2022

A Divergence-Conforming Hybridized Discontinuous Galerkin Method for the Incompressible Magnetohydrodynamics Equations

We introduce a new hybridized discontinuous Galerkin method for the inco...

0 Thad A. Gleason, et al. ∙

∙ 12/18/2021

Variational multiscale modeling with discretely divergence-free subscales: Non-divergence-conforming discretizations

A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variational mult...

0 Sajje Lee Calfy, et al. ∙

∙ 01/16/2021

High-accuracy mesh-free quadrature for trimmed parametric surfaces and volumes

This work presents a high-accuracy, mesh-free, generalized Stokes theore...

0 David Gunderman, et al. ∙

∙ 07/02/2020

Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification

Stable and accurate modeling of thin shells requires proper enforcement ...

0 Joseph Benzaken, et al. ∙

∙ 05/15/2020

Spectral mesh-free quadrature for planar regions bounded by rational parametric curves

This work presents spectral, mesh-free, Green's theorem-based numerical ...

0 David Gunderman, et al. ∙

∙ 05/01/2020

Computational Steering of Geometrically Sensitive Simulations

In the context of high-performance finite element analysis, the cost of ...

0 Corey Wetterer-Nelson, et al. ∙

∙ 11/06/2019

Variational multiscale modeling with discretely divergence-free subscales

We introduce a residual-based stabilized formulation for incompressible ...

0 John A. Evans, et al. ∙

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