[PDF] Top 20 A discontinuous Galerkin scheme for front propagation with obstacles

... Runge-Kutta discontinuous Galerkin (RKDG) methods were originally devised to solve conservation laws, see [13] and the reference ...flexibility with complicated geometries, ability to achieve high ... Voir le document complet

... FOR FRONT PROPAGATION WITH OBSTACLES OLIVIER BOKANOWSKI, YINGDA CHENG, AND CHI-WANG SHU ...semi-Lagrangian discontinuous Galerkin (SLDG) and Runge- Kutta ... Voir le document complet

... the propagation of a steep electrochemical wave front and thus require discretizations with small mesh sizes to obtain accurate ...Hybridizable Discontinuous Galerkin method ... Voir le document complet

... not a unique choice of flux leading to a stable and convergent DGTD ...obtained for in- termediate values of α between 0 and 1 are acceptable, along with a larger choice available from ... Voir le document complet

... introduce a second-order leap-frog time scheme combined with a high-order discontinuous Galerkin method for the solution of the 3D elastodynamic ...explicit scheme ... Voir le document complet

... deal with the complex issues characterizing the associated propagation ...wave propagation in dispersive media started in early 1990’s in the framework of Finite Difference Time Domain (FDTD) ... Voir le document complet

... methods for solving Maxwell’s equations in a non-conducting ...The scheme is based on the sym- plectic St¨ormer-Verlet method combined with a DG discretization of the first-order ... Voir le document complet

... concerned with the numerical modeling of the propagation of electromagnetic waves in dispersive ...Such propagation media are characterized by electromagnetic parameters ...is a lot of ... Voir le document complet

... become a very important discipline for accurate estimates of ground motion thanks to constant increase of computational re- sources, a better understanding of physical phenomena and numerical solvers ... Voir le document complet

... Runge-Kutta discontinuous Galerkin (RKDG) method, originally de- vised to solve the conservation laws, has the advantage of flexibility for arbitrarily unstruc- tured ...[9], a DG method ... Voir le document complet

... observed with the previous test case, which is the result of the low regularity of the ...materials with ǫ2 = ...order, a special treatment of the numerical fluxes such as a regularization ... Voir le document complet

... add a perfectly conducting cube of side length 1/3 centered at the origin in the previous problem and ω is set to be ...method with a Up- wind Flux (UF) DG discretization [7] and, because both ap- ... Voir le document complet

... interesting for nanophotonics because they can both enhance and confine optical fields, making plasmonics of interest to emerging quantum technologies [2, 3, ...is a metal-dielectric interface, such as ... Voir le document complet

... methods for time ...in a nozzle, whose geometry is defined as a cubic NURBS curve. A very coarse discretization of the computational domain is first constructed using a set of 8 × 4 ... Voir le document complet

... Center for Nanostructured Graphene, Technical University of Denmark, Ørsteds Plads 343, DK-2800 ...Hybridizable Discontinuous Galerkin (HDG) methods for solving the frequency- domain Maxwell’s ... Voir le document complet

... laws, for water content and relative permeability (part of hydraulic conductivity), are needed to close the model ...saturation with ( 3 ...given with a degree of uncertainty [ 18 ... Voir le document complet

... how a discontinuous permeability can be treated in the numerical framework offered by the DDFV ...derive a formula for both gradients that is exact for affine func- ...Then, a ... Voir le document complet

... of a new method for the discretisation of linear transport problems based on ...[66] for a discussion of this ...optimally, for example wavelets are known to accurately represent ... Voir le document complet

... elaborate a novel postprocessing technique for time-dependent Maxwell’s ...discretized with a first-order discontinuous Galerkin method coupled with an explicit ... Voir le document complet

... of a plane wave by an air raft. Time evolution of the E z omponent at a sele ted ...to a lo alized sour e radiation We now onsider a more realisti problem whi h onsists in the simulation of ... Voir le document complet