Results 31 to 40 of about 144 (134)

A hybrid numerical method approach for the two-dimensional coupled Burgers’ equations with nonlinearity preservation

Mathematical and Computer Modelling of Dynamical Systems
In this study, we develop a novel hybrid numerical method based on the finite element method and finite difference method for solving the two-dimensional coupled Burgers’ equations.
Aysenur Busra Cakay, Selmahan Selim
doaj   +1 more source

An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems

, 2000
We construct and analyze a new family of rectangular (two-dimensional) or cubic (three-dimensional) mixed finite elements for the approximation of the acoustic wave equations.
P. Joly, C. Tsogka, E. Becache
core  

Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems∗

, 2016
In this article, interior penalty discontinuous Galerkin methods using immersed finite element functions are employed to solve parabolic interface problems. Typical semi-discrete and fully discrete schemes are presented and analyzed.
Qing Yang, Xu Zhang
core  

Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II : mixed-hybrid finite element solution [PDF]

, 2006
: The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory [J.M. Huyghe and J.D. Janssen, Int. J. Engng. Sci. 35 (1997) 793-802; K. Malakpoor, E.F. Kaasschieter and J.M. Huyghe, Mathematical modelling and numerical
Kaasschieter, Enrique F., Huyghe, J.M., Huyghe, J.M.R.J., Malakpoor, Kamyar, Malakpoor, K., Huyghe, Jacques M., Enrique F. Kaasschieter, Kaasschieter, E.F., Jacques M. Huyghe, Kamyar Malakpoor   +9 more
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Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method

, 2004
AMS subject classifications. 65M60, 65M12Semi-Lagranging schemes have been explored by several authors recently for transport problems in particular for moving interfaces using level set method.
Liu, Yingjie, Dupont, Todd F.
core   +1 more source

Linear B-spline finite element method for the generalized diffusion equation with delay. [PDF]

BMC Res Notes, 2022
Lubo GT, Duressa GF.
europepmc   +1 more source

Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems - Strong Convergence of Optimal Controls

, 1994
: A class of optimal control problems for a parabolic equation with nonlinear boundary condition and constraints on the control and the state is considered.
Fredi Tröltzsch
core  

An Energy Stable Monolithic Eulerian Fluid-Structure Finite Element Method

, 2017
International audienceWhen written in an Eulerian frame, the conservation laws of continuum mechanic are similar for fluids and solids leading to a single set of variables for a monolithic formulation; the only difference is in the expression of the ...
Pironneau, Olivier, Hecht, Frédéric
core   +1 more source

Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems I: A Priori Estimates

, 1999
. We give a space-time Galerkin finite element discretization of the linear quasistatic compressible viscoelasticity problem as described by an elliptic partial differential equation with a Volterra (memory) term.
Simon Shaw, J. R. Whiteman
core  

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source