Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations
DOI10.1007/s11075-022-01347-2zbMath1506.65152OpenAlexW4283835924WikidataQ114224265 ScholiaQ114224265MaRDI QIDQ2679832
Mohammad Shafi Dahaghin, Somayeh Fouladi, Reza Mokhtari
Publication date: 26 January 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01347-2
computational costlocal discontinuous Galerkin methodstability and convergence analyseslocally one-dimensional approach
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Uses Software
Cites Work
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- A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations
- Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
- Simultaneous denoising and enhancement of signals by a fractal conservation law
- Relaxation method for unsteady convection-diffusion equations
- Error and extrapolation of a compact LOD method for parabolic differential equations
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
- High order locally one-dimensional methods for solving two-dimensional parabolic equations
- Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations
- A superconvergent local discontinuous Galerkin method for elliptic problems
- Efficient and accurate numerical methods for the multidimensional convection-diffusion equations
- Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains
- Structure preserving -- field directional splitting difference methods for nonlinear Schrödinger systems
- An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D
- Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems
- Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
- A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids
- An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
- Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method
- A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension
- Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
- The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids
- A Compendium of Partial Differential Equation Models
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
- Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- Geomorphological Fluid Mechanics
- Error Estimate of the Fourth-Order Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Computational Partial Differential Equations Using MATLAB®
- CFL Condition and Boundary Conditions for DGM Approximation of Convection‐Diffusion
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