A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshes
From MaRDI portal
Publication:3549855
DOI10.1002/nme.2706zbMath1183.76805OpenAlexW2069553087MaRDI QIDQ3549855
Radek Tezaur, Charbel Farhat, Irina Kalashnikova
Publication date: 29 March 2010
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2706
Lagrange multipliersadvection-diffusiondiscontinuous Galerkin methoddiscontinuous enrichment methodhigh-orderhigh Péclet number
Related Items
Summation-by-Parts Operators for General Function Spaces, A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number, Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons, Directly resolving particles in an electric field: local charge, force, torque, and applications, Randomized Local Model Order Reduction, An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients, A hybrid discontinuous in space and time Galerkin method for wave propagation problems, A local projection type stabilization with exponential enrichments applied to one-dimensional advection-diffusion equations, A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates, A high-order discontinuous Galerkin method with Lagrange multipliers for advection-diffusion problems, A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients, A new numerical strategy for the resolution of high-Péclet advection-diffusion problems, Adaptive stopping criterion for iterative linear solvers combined with anisotropic mesh adaptation, application to convection-dominated problems, A high-order discontinuous Galerkin method for unsteady advection-diffusion problems, Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions, The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber, A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems
Cites Work
- Unnamed Item
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
- A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers
- A monotone finite element method with test space of Legendre polynomials
- The partition of unity finite element method: basic theory and applications
- A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
- Bubble functions prompt unusual stabilized finite element methods.
- An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
- A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
- Exponential finite elements for diffusion-advection problems
- Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
- The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
- Concurrently coupled atomistic and XFEM models for dislocations and cracks
- A high-order generalized FEM for through-the-thickness branched cracks
- A discontinuous enrichment method for three-dimensional multiscale harmonic wave propagation problems in multi-fluid and fluid-solid media
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
- Mixed and Hybrid Finite Element Methods
- A two-level finite element method and its application to the Helmholtz equation
- Elastic crack growth in finite elements with minimal remeshing
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Refining the submesh strategy in the two‐level finite element method: application to the advection–diffusion equation
- Nonconforming finite element methods with subgrid viscosity applied to advection‐diffusion‐reaction equations
- Streamline design of stability parameters for advection-diffusion problems
- The discontinuous enrichment method