$\varGamma$-convergence of nonlocal Dirichlet energies with penalty formulations of Dirichlet boundary data

Asymptotic properties of nonparametric inference (62G20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical interpolation (65D05) Existence of optimal solutions to problems involving randomness (49J55)

Cites Work

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Continuum limit of total variation on point clouds
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel
A new approach to Sobolev spaces and connections to $\Gamma$-convergence
Convergence of the point integral method for Laplace-Beltrami equation on point cloud
Modeling low Reynolds number incompressible flows using SPH
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations
Propagation phenomena in monostable integro-differential equations: acceleration or not?
Theory and practice of finite elements.
Reformulation of elasticity theory for discontinuities and long-range forces
An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems
Nonlocal trace spaces and extension results for nonlocal calculus
On the convergence rate of some nonlocal energies
Random dispersal vs. non-local dispersal
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
Continuum limit of Lipschitz learning on graphs
Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media
Nonlinear Diffusion with Fractional Laplacian Operators
Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods
SPH with the multiple boundary tangent method
Smoothed particle hydrodynamics: theory and application to non-spherical stars
Nonlocal Modeling, Analysis, and Computation
Harmonic Extension on The Point Cloud
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees
Analysis of $p$-Laplacian Regularization in Semisupervised Learning
Numerical methods for nonlocal and fractional models
Nonlocal problems with local boundary conditions. I: Function spaces and variational principles

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\(\varGamma\)-convergence of nonlocal Dirichlet energies with penalty formulations of Dirichlet boundary data