Splitting methods and numerical approximations for a coupled local/nonlocal diffusion model
type: Item
instance of: scholarly article
title: Splitting methods and numerical approximations for a coupled local/nonlocal diffusion model
zbMATH Open document ID: 1499.35092
author: Bruna C. dos Santos
author: S. M. Oliva
author: J. D. Rossi
published in: Computational and Applied Mathematics
publication date: 2022-01-06T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 7453268
zbMATH Keywords: numerical methods
zbMATH Keywords: nonlocal diffusion
zbMATH Keywords: heat equation
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: s40314-021-01708-y
OpenAlex ID: W4200490600
Wikidata QID: Q114219313
cites work: Results on Nonlocal Boundary Value Problems
cites work: Variational theory and domain decomposition for nonlocal problems
cites work: Q3162662
cites work: An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
cites work: Asymptotic behavior for nonlocal diffusion equations
cites work: Boundary fluxes for nonlocal diffusion
cites work: How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
cites work: A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
cites work: Optimization-based mesh correction with volume and convexity constraints
cites work: Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes
cites work: Physically-based approach to the mechanics of Strong non-local linear elasticity theory
cites work: Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
cites work: A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
cites work: A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models
cites work: Q5189317
cites work: Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces
cites work: Coupling local and nonlocal evolution equations
cites work: Coupling of nonlocal and local continuum models by the Arlequin approach
cites work: Front tracking for hyperbolic conservation laws
cites work: Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
cites work: Regularity for a local-nonlocal transmission problem
DOI: 10.1007/S40314-021-01708-Y
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description: scientific article; zbMATH DE number 7453268