On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
ABSTRACT We construct solutions for time‐dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can refer the boundary problem to a fixed domain at the cost of increasing the complexity of the coefficients ...
Ana Carpio, Gema Duro
wiley +1 more source
A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Jaśkowiec J, Pamin J.
europepmc +1 more source
A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert+3 more
core
The convergence of the Galerkin method for the Taylor-Dean stability problem [PDF]
R. C. Di Prima, R. L. Sani
openalex +1 more source
Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Zhang T, Li X.
europepmc +1 more source
An $L^\infty $ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials [PDF]
Jim Douglas+2 more
openalex +1 more source
By the means of spectral method the universal algorithm of calculation of dispersion characteristics of regular waveguide with arbitrary dielectric filling is presented. The method is based upon presenting of guiding structures fields as serial expansion
A.A. Titarenko
doaj
A free boundary problem with convection for the p-Laplacian [PDF]
We prove existence of weak solutions for a Stefan-type initial value problem with prescribed convection, generalizing previous results to the case of the p-Laplacian.
José Miguel Urbano
doaj
The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
doaj +1 more source
The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. [PDF]
Asadi-Mehregan F, Assari P, Dehghan M.
europepmc +1 more source