Convergence of lowest-order semi-Lagrangian schemes
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Publication:1955528
DOI10.1007/s10208-012-9139-3zbMath1273.65121OpenAlexW2002752633MaRDI QIDQ1955528
Publication date: 14 June 2013
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-012-9139-3
convergenceerror estimatediscrete differential formssemi-Lagrangian methodsadvection-diffusion problem
Inference from stochastic processes and prediction (62M20) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)
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Cites Work
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- Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Finite element characteristic methods requiring no quadrature
- Fully discrete semi-Lagrangian methods for advection of differential forms
- Analysis of an algorithm for the Galerkin-characteristic method
- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- Mixed finite elements in \(\mathbb{R}^3\)
- A new approach to algorithms for convection problems which are based on exact transport + projection
- A discontinuous \(hp\) finite element method for diffusion problems
- Exact projections and the Lagrange-Galerkin method: A realistic alternative to quadrature
- Discrete Poincaré lemma
- Finite elements and characteristics for some parabolic-hyperbolic problems
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Finite elements and characteristics applied to advection-diffusion equations
- Theory and practice of finite elements.
- Hodge decomposition. A method for solving boundary value problems
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models
- Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems
- Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms
- An arbitrary Lagrangian-Eulerian discretization of MHD on 3D unstructured grids
- A Semi-Lagrangian Finite Volume Method for Newtonian Contraction Flows
- Uniform Estimates of an Eulerian–Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions
- An Optimal-Order Error Estimate to ELLAM Schemes for Transient Advection-Diffusion Equations on Unstructured Meshes
- A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Some Improved Error Estimates for the Modified Method of Characteristics
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Finite element exterior calculus: from Hodge theory to numerical stability
- Error Bounds for the Methods of Glimm, Godunov and LeVeque
- Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
- Stability of the Lagrange-Galerkin method with non-exact integration
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Eulerian‐Lagrangian localized adjoint method: The theoretical framework
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- La méthode des caractéristiques pour les problèmes de convection-diffusion stationnaires
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations
- Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis
- A “Natural” Norm for the Method of Characteristics Using Discontinuous Finite Elements : 2D and 3D case
- Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
- Smoothed projections in finite element exterior calculus
- Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems
- How accurate is the streamline diffusion finite element method?
- Vector analysis
