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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...
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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 ...
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06/01/2023
Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow
In this work we adapt classical residual-based stabilization techniques ...
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01/10/2023
Divergence-Conforming Isogeometric Collocation Methods for the Incompressible Navier-Stokes Equations
We develop two isogeometric divergence-conforming collocation schemes fo...
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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...
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09/14/2022
Interpolation-based immersed finite element and isogeometric analysis
We introduce a new paradigm for immersed finite element and isogeometric...
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03/04/2022
Constructing Nitsche's method for variational problems
Nitsche's method is a well-established approach for weak enforcement of ...
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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...
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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...
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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...
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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...
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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...
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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 ...
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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 ...
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05/01/2020
Computational Steering of Geometrically Sensitive Simulations
In the context of high-performance finite element analysis, the cost of ...
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11/06/2019