Results 81 to 90 of about 121,260 (302)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12405-12420, August 2025.ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei +2 more
wiley +1 more source
Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]
, 2006 An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der +3 more
core +1 more source
Onshore Entrapment of Seawater in Coastal Aquifers by Rapid Coastline Progradation
Water Resources Research, Volume 61, Issue 8, August 2025.Abstract We hypothesize that brackish groundwater within unconfined aquifers located in active river deltas may have resulted from rapid shoreline progradation during the Holocene. To explore this hypothesis, we develop a coupled model of variable‐density groundwater flow and solute transport within a prograding sedimentary delta.
Vaughan R. Voller +6 more
wiley +1 more source
Journal of Mathematics, 2017 In this paper, we investigate a mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem with control constraints based on the combination of a mixed finite element method for the elliptic part and a ...
Qingjin Xu, Zhaojie Zhou
doaj +1 more source
Membrane finite element method for simulating fluid flow in porous medium
Water Science and Engineering, 2009 A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering.
Mei-li Zhan +4 more
doaj +1 more source
A High-Order Discontinuous Galerkin Method for Solving Preconditioned Euler Equations
Applied Sciences, 2022 A high-order discontinuous Galerkin (DG) method is presented for solving the preconditioned Euler equations with an explicit or implicit time marching scheme.
Huanqin Gao +4 more
doaj +1 more source
On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10427-10441, 15 July 2025.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
, 1989 Construction et analyse d'une classe de methodes a elements finis de Galerkin discontinues a variation totale bornee pour la resolution des lois de conservation. Etude de la convergence.
Bernardo Cockburn, Chi-Wang Shu
semanticscholar +1 more source
SDF‐Guided Point Cloud Generation Framework for Mesh‐Free CFD
International Journal for Numerical Methods in Fluids, Volume 97, Issue 7, Page 1035-1056, July 2025.This paper presents different methods for generating clouds of points around objects for use with meshless methods in computational fluid dynamics. This image shows the cloud generated around the original ROBIN body. ABSTRACT Meshing is a bottleneck of CFD workflows, especially when complex geometries are considered.
Tao Zhang, George N. Barakos
wiley +1 more source
On Multiscale Methods in Petrov-Galerkin formulation [PDF]
, 2014 In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel +2 more
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