Flow in porous media with low dimensional fractures by employing enriched Galerkin method
Advances in Water Resources, 2020 This paper presents the enriched Galerkin discretization for modeling fluid flow in fractured porous media using the mixed-dimensional approach. The proposed method has been tested against published benchmarks.
T. Kadeethum +3 more
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POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder [PDF]
, 2017 Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incompressible ow around a circular cylinder is presented in this work.
G. Stabile +4 more
semanticscholar +1 more source
Spherical Grid Creation and Modeling Using the Galerkin Compiler GC_Sphere
Atmosphere, 2023 The construction of spherical grids is, to a large extent, a question of organized programming. Such grids come in the form of rhomboidal/triangular grids and hexagonal grids.
Jürgen Steppeler
doaj +1 more source
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction [PDF]
Journal of Computational Physics, 2017 Submitted to Journal of Computational ...
Carlberg, Kevin +2 more
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Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
SIAM Journal on Scientific Computing, 2019 We present a numerical approximation of Darcy's flow through a fractured porous medium which employs discontinuous Galerkin methods on polytopic grids.
P. Antonietti +3 more
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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.
Hyun Young Lee +2 more
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Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction [PDF]
SIAM Journal on Scientific Computing, 2017 This work proposes a space--time least-squares Petrov--Galerkin (ST-LSPG) projection method for model reduction of nonlinear dynamical systems.
Youngsoo Choi, K. Carlberg
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Interval element-free Galerkin method for uncertain mechanical problems
Advances in Mechanical Engineering, 2018 An interval element-free Galerkin method was proposed to solve some issues in structural design and analysis of structural parameters that have errors or uncertainties caused by manufacture, installation, measurement, or computation.
Li Ming Zhou, Erfei Zhao, Shuhui Ren
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Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices
Advanced Science, EarlyView.This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma +6 more
wiley +1 more source
A unified study of continuous and discontinuous Galerkin methods [PDF]
Science China Mathematics, 2017 A unified study is presented in this paper for the design and analysis of different finite element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs, hybrid FEMs, discontinuous Galerkin (DG) methods, hybrid discontinuous Galerkin ...
Q. Hong +3 more
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