A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation
DOI10.1016/j.jcp.2018.12.003OpenAlexW2903608204WikidataQ128753453 ScholiaQ128753453MaRDI QIDQ2169520
Thomas Adams, William M. Coombs, Stefano Giani
Publication date: 2 September 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.12.003
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)
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- A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method
- Discretization of Dirac delta functions in level set methods
- Applications of level set methods in computational biophysics
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Computing interface motion in compressible gas dynamics
- Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
- Tree methods for moving interfaces
- A level set approach for computing solutions to incompressible two-phase flow
- Structural optimization using sensitivity analysis and a level-set method.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Level set methods and dynamic implicit surfaces
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Computing minimal surfaces via level set curvature flow
- A level set discontinuous Galerkin method for free surface flows
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Flow patterns around heart valves: A numerical method
- The finite element method with Lagrangian multipliers
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- A high-order immersed boundary discontinuous-Galerkin method for Poisson's equation with discontinuous coefficients and singular sources
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
- A discontinuous-Galerkin-based immersed boundary method
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
- Survey of meshless and generalized finite element methods: A unified approach
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Distance Regularized Level Set Evolution and Its Application to Image Segmentation
- Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case
- Computer Vision - ECCV 2004
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