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We design an adaptive virtual element method (AVEM) of lowest order over triangular meshes with hanging nodes in 2d, which are treated as polygons. AVEM hinges on the stabilization-free a posteriori error estimators recently derived in [8]. The cruci
Externí odkaz:
http://arxiv.org/abs/2302.13672
Yes
Steel-concrete composite structures are commonly used in buildings and bridges because it takes advantage of tensile strength of steel and compressive strength of concrete. The two components are often secured by shear connectors such as hea
Steel-concrete composite structures are commonly used in buildings and bridges because it takes advantage of tensile strength of steel and compressive strength of concrete. The two components are often secured by shear connectors such as hea
Externí odkaz:
http://hdl.handle.net/10454/11140
Publikováno v:
Heliyon, 9(8), e18820 (2023)
In this paper, we present and compare four methods to enforce Dirichlet boundary conditions in Physics-Informed Neural Networks (PINNs) and Variational Physics-Informed Neural Networks (VPINNs). Such conditions are usually imposed by adding penalizat
Externí odkaz:
http://arxiv.org/abs/2210.14795
In the present paper we initiate the challenging task of building a mathematically sound theory for Adaptive Virtual Element Methods (AVEMs). Among the realm of polygonal meshes, we restrict our analysis to triangular meshes with hanging nodes in 2d
Externí odkaz:
http://arxiv.org/abs/2111.07656
We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a rigid channel. Through a careful investigation of the properties of the
Externí odkaz:
http://arxiv.org/abs/2007.09130
Publikováno v:
In Heliyon August 2023 9(8)
Publikováno v:
IMA Journal of Numerical Analysis; Sep2024, Vol. 44 Issue 5, p2553-2602, 50p
Akademický článek
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Publikováno v:
In Computers and Mathematics with Applications August 2015 70(4):603-623
Publikováno v:
In Linear Algebra and Its Applications 1 July 2014 452:21-39