Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations
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Publication:5203790
DOI10.1137/18M1221473zbMath1434.65239arXiv1811.00825MaRDI QIDQ5203790
Publication date: 9 December 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.00825
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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A high order conservative flux optimization finite element method for steady convection-diffusion equations ⋮ Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations
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Cites Work
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- Error estimates for stabilized finite element methods applied to ill-posed problems
- Finite element approximation of some indefinite elliptic problems
- Finite element methods for linear hyperbolic problems
- Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- \(T\)-coercivity: application to the discretization of Helmholtz-like problems
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Automated solution of differential equations by the finite element method. The FEniCS book
- A collection of 2D elliptic problems for testing adaptive grid refinement algorithms
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The continuous Galerkin method is locally conservative
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Theory and practice of finite elements.
- A stabilised finite element method for the convection-diffusion-reaction equation in mixed form
- Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
- A saddle point least squares approach for primal mixed formulations of second order PDEs
- A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime
- A non-conforming saddle point least squares approach for an elliptic interface problem
- First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
- A finite element method for a noncoercive elliptic problem with Neumann boundary conditions
- Error-bounds for finite element method
- A dual Petrov-Galerkin finite element method for the convection-diffusion equation
- Robust error estimates in weak norms for advection dominated transport problems with rough data
- Stabilised Finite Element Methods for Ill-Posed Problems with Conditional Stability
- Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions
- A stabilized mixed finite element method for the first‐order form of advection–diffusion equation
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Adaptive Computation of Far-Field Patterns by A Posteriori Error Estimation of Linear Functionals
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- A least-squares approach based on a discrete minus one inner product for first order systems
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Adaptive Petrov--Galerkin Methods for First Order Transport Equations
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A Conservative Flux Optimization Finite Element Method for Convection-diffusion Equations
- Finite element quasi-interpolation and best approximation
- Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
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