Results 51 to 60 of about 102,481 (112)
Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation [PDF]
, 2015 We describe and analyse a space-time Trefftz discontinuous Galerkin method for the wave equation. The method is defined for unstructured meshes whose internal faces need not be aligned to the space-time axes.
Ralf Hiptmair, A. Moiola, I. Perugia
semanticscholar +1 more source
A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley +1 more source
A review of numerical methods for flow and transport modeling in the vadose zone
Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley +1 more source
Finite Element Implementation of SAFE for Asymmetric Stream‐Aquifer Flow Exchange
Groundwater, Volume 64, Issue 5, Page 650-668, September/October 2026.Abstract Climate change and human activities increasingly affect interconnected stream–aquifer systems, motivating continued evaluation of how stream–aquifer interactions are represented in integrated groundwater–surface water models. Most groundwater models quantify stream–aquifer exchange using an empirical riverbed leakance parameter that is ...
G. Kourakos +4 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 8, August 2026.Numerical and analytical modeling of annular flow reveals the hydraulic performance of sustainable drilling muds formulated from Congolese kaolinitic clay, okra mucilage, and plant ashes. Yield stress enhances cuttings transport, while shear‐thinning behavior reduces pressure losses and pumping energy.
Stanislas Ulrich Berry Moukila
wiley +1 more source
Shock capturing for discontinuous galerkin methods
, 2023 Aquesta tesi doctoral proposa formulacions de Galerkin Discontinu (DG) d’alt ordre per la captura de shocks, obtenint alhora solucions altament precises per problemes de flux compressible. En les últimes dècades, la investigació en els mètodes de DG ha estat en constant creixement.
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On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
Computational Methods in Applied Mathematics, 2003 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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Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace Sciences34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
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A discontinuous Galerkin method with fractal elements
CoRRWe formulate, analyse, and implement a discontinuous Galerkin finite element method (DG-FEM) for the approximation of the solution of an elliptic boundary value problem in a domain with fractal boundary. We consider the case of the Poisson equation in the Koch snowflake domain with zero Dirichlet boundary conditions, but our methodology can be ...
Sergio Gómez 0001 +2 more
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis, 2001 D. Arnold +3 more
semanticscholar +1 more source