Results 101 to 110 of about 12,503 (235)
Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
core
In this article, a reduced five-equation two-phase flow model is numerically investigated. The formulation of the model is based on the conservation and energy exchange laws. The model is non-conservative and the governing equations contain two equations
M. Rehan Saleem +2 more
doaj +1 more source
On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
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ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
wiley +1 more source
Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]
The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
core +1 more source
Discontinuous Galerkin schemes for the Stokes problem [PDF]
Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the Stokes problem, which stands as a fundamental element in fluid mechanics.
Mroueh Mayssa +2 more
doaj +1 more source
An efficient linear solver for the hybridized discontinuous Galerkin method [PDF]
Discretizing partial differential equations by an implicit solving technique ultimately leads to a linear system of equations that has to be solved. The number of globally coupled unknowns is especially large for discontinuous Galerkin (DG) methods.
Jaust, Alexander +2 more
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Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]
This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa +2 more
core
Simulation of rock salt dissolution and its impact on land subsidence [PDF]
Extensive land subsidence can occur due to subsurface dissolution of evaporites such as halite and gypsum. This paper explores techniques to simulate the salt dissolution forming an intrastratal karst, which is embedded in a sequence of carbonates, marls,
A. Younes +7 more
core +1 more source
Penalty‐free discontinuous Galerkin method
AbstractIn this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the ...
Jan Jaśkowiec, N. Sukumar
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