Results 91 to 100 of about 37,916 (260)
Journal of Inequalities and Applications, 2010 We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj
Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis
International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga +3 more
wiley +1 more source
A multilevel discontinuous Galerkin method [PDF]
Numerische Mathematik, 2003 With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Gopalakrishnan, Jay, Kanschat, Guido
openaire +3 more sources
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou +2 more
wiley +1 more source
Influence of Blood Rheology on Hemodialysis Efficiency via Computational Simulation
Chemical Engineering &Technology, Volume 49, Issue 1, January 2026.This study presents a CFD framework for hemodialysis that explicitly incorporates cholesterol‐dependent non‐Newtonian blood rheology. By coupling mass transport with the mHAWB model, the work quantifies how rheology alters creatinine removal and optimal operating conditions. ABSTRACT This work presents a computational study of hemodialysis in cocurrent
L. A. Ramírez‐Torres +5 more
wiley +1 more source
Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions [PDF]
SIAM Journal on Numerical Analysis, 2005 The author proves convergence of a discontinuous Galerkin method for a convection-reaction equation under very weak assumptions on the coefficients. The proof is based on work of \textit{R. J. DiPerna} and \textit{P. L. Lions} [Invent. Math. 98, 511--547 (1989; Zbl 0696.34049)]. Applications include modeling the flow of incompressible immiscible fluids.
openaire +2 more sources
Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media
Oil & Gas Science and Technology, 2014 We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV, Discrete Duality Finite Volume) and Discontinuous Galerkin (DG, Discontinuous Galerkin)
Baron V., Coudière Y., Sochala P.
doaj +1 more source
Results in Physics, 2018 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 the Stability Barrier of Hermite Type Discretizations of Advection Equations
Numerical Methods for Partial Differential Equations, Volume 42, Issue 1, January 2026.ABSTRACT We establish a stability barrier for a class of high‐order Hermite‐type discretization of 1D advection equations underlying the hybrid‐variable (HV) and active flux (AF) methods. These methods approximate both cell averages and nodal solutions and evolve them in time simultaneously.
Xianyi Zeng
wiley +1 more source
Viscosity in discontinuous Galerkin methods [PDF]
PAMM, 2007 AbstractThe Discontinuous Galerkin (DG) discretisation technique proposes a higher order alternative to current state of the art Finite Volume (FV) methods of second order accuracy in space. DG features higher order on unstructured grids without reconstruction, highly local data access patterns and excellent parallelisation properties.
openaire +1 more source