MooNMD -- a program package based on mapped finite element methods
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Publication:706550
DOI10.1007/s00791-003-0120-1zbMath1061.65124OpenAlexW1990392133MaRDI QIDQ706550
Publication date: 8 February 2005
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-003-0120-1
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Packaged methods for numerical algorithms (65Y15)
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Uses Software
Cites Work
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- Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations
- Non-nested multi-level solvers for finite element discretisations of mixed problems
- Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations -- numerical tests and aspects of the implementation
- The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions
- A Numerical Study of a Class of LES Models
- Finite Element Methods for Navier-Stokes Equations
- Higher-order finite element discretizations in a benchmark problem for incompressible flows
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- On the quadrilateralQ2-P1 element for the Stokes problem
- Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations
- UG -- a flexible software toolbox for solving partial differential equations
- Approximating local averages of fluid velocities: The Stokes problem
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