Obtaining error estimates for optimally constrained incompressible finite elements
DOI10.1016/0045-7825(84)90160-9zbMath0514.76032OpenAlexW1988239286MaRDI QIDQ1051527
David S. Malkus, Elwood T. Olsen
Publication date: 1984
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(84)90160-9
auxiliary trial spacechaotic checkerboardingconvective and non-Newtonian nonlinearitiesconvergence of raw pressure in negative normdiscrete LBB conditionestimate for velocitiessemi-norm inf-sup condition
Non-Newtonian fluids (76A05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lectures on topics in finite element solution of elliptic problems. Notes by G. Vijayasundaram
- Eigenproblems associated with the discrete LBB condition for incompressible finite elements
- Penalty-finite element methods for the analysis of Stokesian flows
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Finite element analysis of incompressible viscous flows by the penalty function formulation
- On numerically accurate finite element solutions in the fully plastic range
- Two comments on: Consistent vs reduced integration penalty methods for incompressible media using several old and new elements1
- A finite element for incompressible plane flows of fluids with memory
- Perturbation of mixed variational problems. Application to mixed finite element methods
- The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
- Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
- On penalty function methods in the finite-element analysis of flow problems
- Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
- An analysis of the convergence of mixed finite element methods
- A conforming finite element method for two-dimensional incompressible elasticity