Results 51 to 60 of about 166 (127)
Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
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International Journal of Mechanical System Dynamics, Volume 4, Issue 2, Page 117-130, June 2024.Abstract Design of earth structures, such as dams, tunnels, and embankments, against the vibrational loading caused by high‐speed trains, road traffic, underground explosions, and, more importantly, earthquake motion, demands solutions of the dynamic soil–structure Interaction (SSI) problem.
Vikas Sharma +2 more
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, 2022 For the general class of residual distribution (RD) schemes, including many finite element (such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach to construct entropy conservative/ dissipative semidiscretizations by ...
Ranocha, Hendrik; https://orcid.org/ +2 more
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 5999-6035, 15 May 2024.We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport term. This equation is characterized by the presence of the additional inertial term τDϕtt$$ {\tau}_D{\phi}_{tt} $$ that accounts for the relaxation of the diffusion flux.
Dieunel Dor +2 more
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Modeling and simulation of the input–output behavior of a geothermal energy storage
Mathematical Methods in the Applied Sciences, Volume 47, Issue 1, Page 371-396, 15 January 2024.This paper investigates mathematical modeling and numerical methods for simulations of the input–output behavior of a geothermal energy storage. Such simulations are needed for the optimal control and management of residential heating systems equipped with an underground thermal storage. There, a given volume under or aside of a building is filled with
Paul Honore Takam +2 more
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Conservation laws of semidiscrete canonical Hamiltonian equations [PDF]
Journal of Physics A: Mathematical and General, 2001 19 pages, 2 ...
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Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity K=K(p)$$ K=K(p) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini +3 more
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Conservative Semidiscrete Difference Schemes for Timoshenko Systems [PDF]
Journal of Applied Mathematics, 2014 We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as ...
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Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract Fully implicit Runge–Kutta methods offer the possibility to use high order accurate time discretization to match space discretization accuracy, an issue of significant importance for many large scale problems of current interest, where we may have fine space resolution with many millions of spatial degrees of freedom and long time intervals ...
Owe Axelsson +2 more
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Computational and Mathematical Methods, Volume 2024, Issue 1, 2024.In this study, we consider a parameter‐uniform convergent numerical approach for a class of time‐fractional singularly perturbed partial differential equations (TF‐SPDPDEs) with large delay in time that exhibits a regular exponential boundary layer on the right side of the spatial domain.
Habtamu Getachew Kumie +3 more
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