Comparison of continuous and discontinuous Galerkin approaches for variable‐viscosity Stokes flow
DOI10.1002/zamm.201400274OpenAlexW2143814817WikidataQ113580943 ScholiaQ113580943MaRDI QIDQ6065022
Unnamed Author, Unnamed Author, Unnamed Author, Mária Lukáčová-Medvid'ová
Publication date: 11 December 2023
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201400274
finite element methodcomputational fluid dynamicsmixed methodsincompressible fluid flowdivergence-conforming elementscomputational geodynamicsciscontinuous Galerkinvariable-viscosity Stokes flow
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational bases for \(RT_k\) and \(BDM_k\) on triangles
- Development of a Stokes flow solver robust to large viscosity jumps using a Schur complement approach with mixed precision arithmetic
- A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
- Mathematical aspects of discontinuous Galerkin methods.
- Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems
- Compatible algorithms for coupled flow and transport
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- On a robust discontinuous Galerkin technique for the solution of compressible flow
- Two families of mixed finite elements for second order elliptic problems
- A discontinuous \(hp\) finite element method for diffusion problems
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation
- Analysis of preconditioned iterative solvers for incompressible flow problems
- The Finite Element Method: Theory, Implementation, and Applications
- Numerical solution of saddle point problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Direct Methods in the Theory of Elliptic Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixed and Hybrid Finite Element Methods
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems
- A stabilized finite element method for the Stokes problem based on polynomial pressure projections
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- A Parallel, Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Arbitrary Grids
- Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales
- Finite Elements
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