[图书][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
H Barucq, A Bendali, M Fares, V Mattesi… - Journal of Computational …, 2017 - Elsevier
A general symmetric Trefftz Discontinuous Galerkin method is built for solving the Helmholtz
equation with piecewise constant coefficients. The construction of the corresponding local …
equation with piecewise constant coefficients. The construction of the corresponding local …
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations
This paper develops a discontinuous Galerkin (DG) finite element differential calculus theory
for approximating weak derivatives of Sobolev functions and piecewise Sobolev functions …
for approximating weak derivatives of Sobolev functions and piecewise Sobolev functions …
A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems
A novel discontinuous Galerkin (DG) method is developed to solve time-dependent bi-
harmonic type equations involving fourth derivatives in one and multiple space dimensions …
harmonic type equations involving fourth derivatives in one and multiple space dimensions …
Interior penalty discontinuous Galerkin FEMs for a gradient beam and CNTs
KG Eptaimeros, CC Koutsoumaris… - Applied Numerical …, 2019 - Elsevier
Carbon nanotubes (CNTs) are widely employed to modern engineering applications. The
structural beam element is an acceptable model that has been used to simulate the CNTs' …
structural beam element is an acceptable model that has been used to simulate the CNTs' …
Discontinuous Galerkin derivative operators with applications to second‐order elliptic problems and stability
A discontinuous Galerkin (DG) finite‐element interior calculus is used as a common
framework to describe various DG approximation methods for second‐order elliptic …
framework to describe various DG approximation methods for second‐order elliptic …
[PDF][PDF] Local discontinuous Galerkin method with reduced stabilization for diffusion equations
We extend the results on minimal stabilization of Burman and Stamm [J. Sci. Comp., 33
(2007), pp. 183-208] to the case of the local discontinuous Galerkin methods on mixed form …
(2007), pp. 183-208] to the case of the local discontinuous Galerkin methods on mixed form …
Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment
In this Note we prove that in two and three space dimensions, the symmetric and non-
symmetric discontinuous Galerkin methods for second order elliptic problems are stable …
symmetric discontinuous Galerkin methods for second order elliptic problems are stable …
Discontinuous Galerkin FEMs for a gradient beam in static carbon nanotube applications
KG Eptaimeros… - Mathematical Methods in …, 2021 - Wiley Online Library
The engineering applications of the innovative materials, such as carbon nanotubes (CNTs)
and graphene sheets, constitute a developing branch of the modern science. CNTs, in …
and graphene sheets, constitute a developing branch of the modern science. CNTs, in …
Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems
In this paper we give an analysis of a bubble stabilized discontinuous Galerkin method for
elliptic and parabolic problems. The method consists of stabilizing the numerical scheme by …
elliptic and parabolic problems. The method consists of stabilizing the numerical scheme by …