Very high-order accurate discontinuous Galerkin method for curved boundaries with polygonal meshes

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration
An explicit construction of interpolation nodes on the simplex
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
High-order accurate discontinuous finite element solution of the 2D Euler equations
High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes
Influence of reference-to-physical frame mappings on approximation properties of discontinuous piecewise polynomial spaces
The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
A weighted shifted boundary method for free surface flow problems
Very high-order Cartesian-grid finite difference method on arbitrary geometries
Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains
The high-order shifted boundary method and its analysis
Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries
Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts
Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. I: Volume integration
High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition
Interpolation error bounds for curvilinear finite elements and their implications on adaptive mesh refinement
High-order accurate implementation of solid wall boundary conditions in curved geometries
Extrapolated discontinuity tracking for complex 2D shock interactions
On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems
Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials
High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing
Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes
The shifted interface method: a flexible approach to embedded interface computations
Very high-order accurate finite volume scheme for the convection-diffusion equation with general boundary conditions on arbitrary curved boundaries

This page was built for publication: Very high-order accurate discontinuous Galerkin method for curved boundaries with polygonal meshes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6601115)