Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces
From MaRDI portal
Publication:6099215
DOI10.1016/j.cma.2023.116109arXiv2301.06108OpenAlexW4379534251MaRDI QIDQ6099215
André Massing, Tale Bakken Ulfsby, Simon Sticko
Publication date: 19 June 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.06108
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport
- Finite element methods for linear hyperbolic problems
- Space-time discontinuous Galerkin finite element method for two-fluid flows
- Mathematical aspects of discontinuous Galerkin methods.
- A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method
- Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II
- Stabilized CutFEM for the convection problem on surfaces
- An adaptive octree finite element method for PDEs posed on surfaces
- Cut finite elements for convection in fractured domains
- A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- Local projection stabilization for convection-diffusion-reaction equations on surfaces
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces
- Intrinsic finite element method for advection-diffusion-reaction equations on surfaces
- A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- A stabilized cut finite element method for the Darcy problem on surfaces
- Full gradient stabilized cut finite element methods for surface partial differential equations
- Geometric partial differential equations. Part I
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A front-tracking method for computation of interfacial flows with soluble surfactants
- Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers
- Characteristic cut finite element methods for convection-diffusion problems on time dependent surfaces
- A cut discontinuous Galerkin method for coupled bulk-surface problems
- A space-time cut finite element method with quadrature in time
- DoD stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension
- The \texttt{deal.II} library, version 9.4
- A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
- Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
- Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- CutFEM: Discretizing geometry and partial differential equations
- Higher-order accurate integration of implicit geometries
- Explicit Runge–Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems
- A Finite Element Method for Elliptic Equations on Surfaces
- Numerical Methods for Two-phase Incompressible Flows
- Numerical computation of advection and diffusion on evolving diffuse interfaces
- A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Finite elements on evolving surfaces
- Analysis of trace finite element methods for surface partial differential equations
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- SLEPc
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- An unfitted finite element method using discontinuous Galerkin
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A finite element method on composite grids based on Nitsche's method
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
- A Finite Element Method for the Surface Stokes Problem
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- A cut discontinuous Galerkin method for the Laplace–Beltrami operator
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- Finite Elements III
- Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs
- Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
- A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
- An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- A stabilized finite element method for advection-diffusion equations on surfaces
- Finite element methods for surface PDEs
- Evaluation of the condition number in linear systems arising in finite element approximations
- Stabilization of high order cut finite element methods on surfaces
