Nonlocal convection-diffusion problems and finite element approximations
DOI10.1016/j.cma.2015.02.008zbMath1423.74925OpenAlexW2015297260MaRDI QIDQ1737001
Publication date: 26 March 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2015.02.008
maximum principlestability analysisfinite element approximationscentral modelnonlocal convection-diffusion problemsupwind model
Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theories of fracture and damage (74A45)
Related Items (25)
Cites Work
- Unnamed Item
- Peridynamic thermal diffusion
- Analysis of a scalar nonlocal peridynamic model with a sign changing kernel
- A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
- A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model
- Finite element methods for linear hyperbolic problems
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
- Deformation of a peridynamic bar
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
- The effect of long-range forces on the dynamics of a bar
- Linearized theory of peridynamic states
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Theory and practice of finite elements.
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Reformulation of elasticity theory for discontinuities and long-range forces
- Fractional diffusion on bounded domains
- Peridynamic states and constitutive modeling
- Nonlocal convection-diffusion volume-constrained problems and jump processes
- Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
- A nonlocal convection-diffusion equation
- Cauchy problem of a nonlocal \(p\)-Laplacian evolution equation with nonlocal convection
- Mathematical analysis for the peridynamic nonlocal continuum theory
- A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models
- A New Approach for a Nonlocal, Nonlinear Conservation Law
- Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Convergence, adaptive refinement, and scaling in 1D peridynamics
- A least-squares approach based on a discrete minus one inner product for first order systems
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models
- Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
This page was built for publication: Nonlocal convection-diffusion problems and finite element approximations