A Comparison of Finite Element Spaces for $H$(div) Conforming First-Order System Least Squares
DOI10.1137/16M1082159zbMath1422.65396OpenAlexW2766321273MaRDI QIDQ5372660
C. A. Leibs, Steffen Münzenmaier, Thomas A. Manteuffel
Publication date: 27 October 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1082159
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Uses Software
Cites Work
- Unnamed Item
- An adaptive mixed least-squares finite element method for viscoelastic fluids of Oldroyd type
- Automated solution of differential equations by the finite element method. The FEniCS book
- Least-squares finite element methods
- Algebraic multigrid for higher-order finite elements
- Improving Conservation for First-Order System Least-Squares Finite-Element Methods
- A locally conservative, discontinuous least-squares finite element method for the Stokes equations
- A First-Order System Least Squares Method for Hyperelasticity
- First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics
- First-Order System Least Squares for Coupled Stokes–Darcy Flow
- Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
- Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
- A note on least-squares mixed finite elements in relation to standard and mixed finite elements
- Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model
- First‐Order system least squares for generalized‐Newtonian coupled Stokes‐Darcy flow
- Enhanced Mass Conservation in Least-Squares Methods for Navier–Stokes Equations
- Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
- 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
- Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
- Preconditioning in H(𝑑𝑖𝑣) and applications
- First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
- A negative-norm least squares method for Reissner-Mindlin plates
- First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
- First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results
- Least-Squares Methods for Linear Elasticity
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- Parallel Auxiliary Space AMG Solver for $H(div)$ Problems
- Mixed Finite Element Methods and Applications
- An Adaptive Least‐Squares Mixed Finite Element Method for Elasto‐Plasticity
- A locally conservative least‐squares method for Darcy flows
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
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