hp-discontinuous Galerkin methods
hp Version discontinuous Galerkin methods on polygonal and polyhedral meshes
... the Discontinuous Galerkin Finite Element Method (DGFEM, for short) can be traced back almost half a century ago to the work undertaken on the weak enforcement of Dirichlet boundary conditions for ...
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Python framework for HP adaptive discontinuous Galerkin methods for two phase flow in porous media
... In this paper we present a framework for solving two phase flow problems in porous media. The discretization is based on a Discontinuous Galerkin method and includes local grid adaptivity and local choice ...
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A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp version discontinuous Galerkin methods
... In this article, we study a class of nonoverlapping Schwarz preconditioners em- ployed for the hp–version discontinuous Galerkin finite element (DGFEM) ap- proximation of second–order elliptic ...
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Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
... the hp–version DGFEM ...derive hp–version inverse estimates and approximation results which are sharp with respect to element facet degenera- ...the hp–version DGFEM discretization of first–order ...
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New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems
... the hp version of the finite element approximation of nonlinear parabolic optimal control ...the hp finite element approximation for both the state and the co-state variables and the hp ...
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Two grid hp DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration
... element methods for strongly monotone partial differential ...(IP) discontinuous Galerkin finite element method (DGFEM), based on employing a single step of a Newton solver on the finer space, ...
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Multigrid algorithms for hp version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
... from hp -version symmetric interior penalty discontinuous Galerkin discretizations of second-order elliptic partial differential equations on polygo- nal/polyhedral ...
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hp version discontinuous Galerkin methods for advection diffusion reaction problems on polytopic meshes
... the hp–version DGFEM for this general class of linear PDE problems on very general polytopic meshes with possibly arbitrarily small/degenerate (d − k)–dimensional element facets, k = 1, ...
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Automatic symbolic computation for discontinuous Galerkin finite element methods
... particular discontinuous Galerkin FEMs (DGFEMs) requires the im- plementation of inter-element flux terms, which involves combinations of both inner– and outer–traces of the FEM solution, relative to a ...
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Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
... element methods by Sauter and co-workers in the series of articles [24, 23, 26]; the generalization to hp– version discontinuous Galerkin composite finite element methods (DGCFEMs) has ...
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Goal oriented adaptive composite discontinuous Galerkin methods for incompressible flows
... idea of CFEMs is to construct the underlying finite element spaces based on first generating a hierarchy of meshes, such that the finest mesh does indeed provide an accurate representation of the underlying computational ...
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An hp adaptive Newton discontinuous Galerkin finite element approach for semilinear elliptic boundary value problems
... element methods, for example, is to first discretise the underlying PDE problem, in our case (1), and to derive an a posteriori error bound for the resulting (nonlinear) scheme; this is typically a very ...
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High order discontinuous Galerkin methods on surfaces
... perform hp-adaptivity using high order discon- tinuous Galerkin (DG) methods and its in-built stabilisation mechanisms for dealing with advection dominated problems and solution blow-ups, it is ...
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Two grid hp version discontinuous Galerkin finite element methods for quasi Newtonian fluid flows
... for hp-version interior penalty discontinuous Galerkin methods for the discretization of quasi-Newtonian fluid flow problems, to the two-grid ...conducting hp-adaptive mesh refinement, ...
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type
... the hp-version discontinuous Galerkin (DG) time-stepping ...DG methods can be traced back to the 1970’s where they were proposed as variational methods for numerically solving ...
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hp adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
... the hp–DGCFEM; the a posteriori analysis of the proposed method is then undertaken in Section ...proposed hp–error in- dicators within an automatic hp–refinement algorithm for a range of ...
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hp Adaptive discontinuous Galerkin methods for neutron transport criticality problems
... 1.0951. More recently, Wang published a value of 1.01082, Baker computed a value of 1.0105 and Kim and Cho published values ranging between 1.0094 and 1.01055. The most accurate dual eigenvalues computed by our code are ...
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hp Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows
... of hp-finite element spaces in order to accurately and reliably compute the critical Reynolds number Re c at which a (steady) bifurcation point first occurs, ...
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hp Version composite discontinuous Galerkin methods for elliptic problems on complicated domains
... the hp–version discontinuous Galerkin composite finite element method for the discretization of second–order elliptic partial differential ...of methods allows for the approximation of ...
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The hp version of Eulerian Lagrangian mixed discontinuous finite element methods for advection diffusion problems
... when discontinuous finite element methods are de- fined in a mixed form, they not only preserve good features of these methods, but also have some advantages over the classical Galerkin form ...
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