Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks [PDF]
Heliyon, 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).
S. Berrone +3 more
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Quantum “violation” of Dirichlet boundary condition
Physics Letters B, 2017 Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions ...
I.Y. Park
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Consistent dirichlet boundary conditions for numerical solution of moving boundary problems [PDF]
Applied Numerical Mathematics, 2008 We consider the imposition of Dirichlet boundary conditions in the finite element mod-elling of moving boundary problems in one and two dimensions for which the total mass is prescribed.
Baines, M.J. +2 more
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Dirichlet boundary conditions in a noncommutative theory [PDF]
Journal of High Energy Physics, 2010 We study the problem of imposing Dirichlet-like boundary conditions along a static spatial curve, in a planar Noncommutative Quantum Field Theory model.
C. D. Fosco +19 more
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Nonlinear differential equations with perturbed Dirichlet integral boundary conditions [PDF]
Boundary Value Problems, 2021 This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral.
Alberto Cabada, Javier Iglesias
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Trace Formulae for Second-Order Differential Pencils with a Frozen Argument
Mathematics, 2023 This paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet.
Yi-Teng Hu, Murat Şat
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general $\phi $-Laplace operator in the annulus.
Jorge Rodríguez-López +2 more
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Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics. [PDF]
Comput MechRisthaus L, Schneider M.
europepmc +2 more sources
Free energy and defect C-theorem in free scalar theory
Journal of High Energy Physics, 2021 We describe conformal defects of p dimensions in a free scalar theory on a d-dimensional flat space as boundary conditions on the conformally flat space ℍ p+1 × 𝕊 d−p−1.
Tatsuma Nishioka, Yoshiki Sato
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Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions [PDF]
Opuscula Mathematica, 2022 Let \(\Omega\) be a \(C^{2}\) bounded domain in \(\mathbb{R}^{n}\) such that \(\partial\Omega=\Gamma_{1}\cup\Gamma_{2}\), where \(\Gamma_{1}\) and \(\Gamma_{2}\) are disjoint closed subsets of \(\partial\Omega\), and consider the problem\(-\Delta u=g ...
Tomas Godoy
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