A high order scheme for unsteady heat conduction equations
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Publication:2008853
DOI10.1016/j.amc.2018.12.024zbMath1429.80012OpenAlexW2906268097MaRDI QIDQ2008853
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.024
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods applied to problems in thermodynamics and heat transfer (80M12) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
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- Localized axial Green's function method for the convection-diffusion equations in arbitrary domains
- A CCD-ADI method for unsteady convection-diffusion equations
- The integral equation method for a steady kinematic dynamo problem
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Axial Green's function method for steady Stokes flow in geometrically complex domains
- An integral equation approach to the unsteady convection-diffusion equations
- The integral equation approach to kinematic dynamo theory and its application to dynamo experiments in cylindrical geometry
- A finite volume method for advection-diffusion problems in convection-dominated regimes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A discontinuous \(hp\) finite element method for diffusion problems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- Numerical solution of the three-dimensional advection--diffusion equation.
- A finite volume method for the approximation of diffusion operators on distorted meshes
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction
- Finite integration method for partial differential equations
- An efficient BEM formulation for three-dimensional steady-state heat conduction analysis of composites
- Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- A meshless model for transient heat conduction in functionally graded materials
- Radial integration boundary integral and integro-differential equation methods for two-dimensional heat conduction problems with variable coefficients
- The Discrete Duality Finite Volume Method for Convection-diffusion Problems
- A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Axial Green's function method for multi-dimensional elliptic boundary value problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- An integral equation approach to two-dimensional incompressible resistive magnetohydrodynamics
- Finite volume approximation of elliptic problems and convergence of an approximate gradient