Numerical methods for a nonlocal parabolic problem with nonlinearity of Kirchhoff type
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Publication:5043025
DOI10.15372/SJNM20190304OpenAlexW4243894590MaRDI QIDQ5043025
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Publication date: 26 October 2022
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm716
Galerkin finite element methodKirchhoff equationoptimal error estimatenonlocal diffusion term\( \theta \)-scheme
Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
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- Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy
- Galerkin finite element methods for parabolic problems
- On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
- The diffusion of a population partly driven by its preferences
- On the numerical solution of the stationary power-law Stokes equations: a penalty finite element approach
- Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- On a class of nonlocal elliptic problems with critical growth
- On the smoothing property of the crank-nicolson scheme
- Some remarks on non local elliptic and parabolic problems
- The theta‐Galerkin finite element method for coupled systems resulting from microsensor thermistor problems
- On the Well-Posedness of the Kirchhoff String
- The Euler-Galerkin finite element method for nonlocal diffusion problems with ap-Laplace-type operator
- Numerical Analysis for a Nonlocal Parabolic Problem
- Galerkin Methods for Parabolic Equations
