A domain decomposition scheme for couplings between local and nonlocal equations
From MaRDI portal
Publication:6088287
DOI10.1515/cmam-2022-0140arXiv2212.06093OpenAlexW4381164715MaRDI QIDQ6088287
Julio D. Rossi, Gabriel Acosta, Francisco M. Bersetche
Publication date: 16 November 2023
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.06093
Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Numerical analysis (65-XX)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modeling the presence probability of invasive plant species with nonlocal dispersal
- Coupling local and nonlocal evolution equations
- Spatial effects in discrete generation population models
- Schwarz methods over the course of time
- Boundary fluxes for nonlocal diffusion
- Physically-based approach to the mechanics of Strong non-local linear elasticity theory
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
- Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks.
- A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
- Metastability and stability of patterns in a convolution model for phase transitions
- The evolution of dispersal
- Reformulation of elasticity theory for discontinuities and long-range forces
- A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
- Regularity for a local-nonlocal transmission problem
- Optimization-based mesh correction with volume and convexity constraints
- Peridynamic states and constitutive modeling
- Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
- How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
- Asymptotic behavior for nonlocal diffusion equations
- Coupling of nonlocal and local continuum models by the Arlequin approach
- The effect of a line with nonlocal diffusion on Fisher-KPP propagation
- On Atomistic-to-Continuum Coupling by Blending
- A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models
- Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces
- Local and Nonlocal Energy-Based Coupling Models
- Bridging Methods for Atomistic-to-continuum Coupling and Their Implementation
- The bond-based peridynamic system with Dirichlet-type volume constraint
This page was built for publication: A domain decomposition scheme for couplings between local and nonlocal equations
