scholarly journals Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions

1990 ◽  
Vol 35 (5) ◽  
pp. 405-417
Author(s):  
Ivan Hlaváček
Keyword(s):  
Boundary Conditions ◽  
Penalty Method ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions

Existence and Regularity Results for Anisotropic Elliptic Problems

2009 ◽  
Vol 9 (2) ◽  
Author(s):  
Agnese Di Castro
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Bounded Domains ◽  
Existence And Regularity Results ◽  
Regularity Results ◽  
Homogeneous Dirichlet Boundary Conditions

AbstractWe study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.

scholarly journals On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method

2019 ◽  
Vol 394 ◽  
pp. 732-744
Author(s):  
Martin Vymazal ◽  
David Moxey ◽  
Chris D. Cantwell ◽  
Spencer J. Sherwin ◽  
Robert M. Kirby
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Continuous Galerkin

Multiplicity Results for a Class of Asymptotically Linear Elliptic Problems With Resonance and Applications to Problems With Measure Data

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Alberto Ferrero ◽  
Claudio Saccon
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Measure Data ◽  
Dirichlet Problems ◽  
Asymptotically Linear ◽  
Multiplicity Results ◽  
Existence And Multiplicity

AbstractWe study existence and multiplicity results for solutions of elliptic problems of the type -Δu = g(x; u) in a bounded domain Ω with Dirichlet boundary conditions. The function g(x; s) is asymptotically linear as |s| → +∞. Also resonant situations are allowed. We also prove some perturbation results for Dirichlet problems of the type -Δu = g

scholarly journals General solutions in Chern-Simons gravity and $$ T\overline{T} $$-deformations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dirichlet Boundary Conditions ◽  
Spin Connection ◽  
Departure Point ◽  
Boundary Stress ◽  
Chern Simons

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.

scholarly journals Charge algebra in Al(A)dSn spacetimes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Adrien Fiorucci ◽  
Romain Ruzziconi
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Three Dimensional ◽  
Dirichlet Boundary Conditions ◽  
Boundary Structure ◽  
Asymptotic Symmetry ◽  
Renormalization Procedure ◽  
Field Dependent ◽  
Odd Dimensions

Abstract The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in n dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent 2-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the 2-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the Λ-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in n dimensions.

scholarly journals Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

2021 ◽  
pp. 104123
Author(s):  
Firdous A. Shah ◽  
Mohd Irfan ◽  
Kottakkaran S. Nisar ◽  
R.T. Matoog ◽  
Emad E. Mahmoud
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Wavelet Method ◽  
Telegraph Equations
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