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04/11/2023
Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity
In this paper, we propose a robust low-order stabilization-free virtual ...
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03/31/2023
Quantitative study of the stabilization parameter in the virtual element method
The choice of stabilization term is a critical component of the virtual ...
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02/25/2023
Continuous gap contact formulation based on the screened Poisson equation
We introduce a PDE-based node-to-element contact formulation as an alter...
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10/26/2022
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks
In this paper, we present and compare four methods to enforce Dirichlet ...
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10/06/2022
Stabilization-free serendipity virtual element method for plane elasticity
We present a higher order stabilization-free virtual element method appl...
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04/27/2022
Virtual element method for modeling the deformation of multiphase composites
In this paper, we study applications of the virtual element method (VEM)...
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02/21/2022
Stabilization-free virtual element method for plane elasticity
We present the construction and application of a first order stabilizati...
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11/07/2021
Extended virtual element method for two-dimensional linear elastic fracture
In this paper, we propose an eXtended Virtual Element Method (X-VEM) for...
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10/01/2021
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations
In this paper, we use the first-order virtual element method (VEM) to in...
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04/17/2021
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks
In this paper, we introduce a new approach based on distance fields to e...
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11/01/2020
Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains
This paper introduces the scaled boundary cubature (SBC) scheme for accu...
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06/30/2019