Results 31 to 40 of about 147 (135)

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
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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

Approximations of parabolic integro-differential equations using wavelet-Galerkin compression techniques

, 2007
. Error estimates for Galerkin discretizations of parabolic integro-differential equations are presented under minimal regularity assumptions. The analysis is applicable in case that the full Galerkin matrix A associated to the integral operator is ...
Konstantinos Chrysafinos
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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, Frédéric Hecht, Olivier Pironneau   +3 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.
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NUMERICAL SIMULATION OF A GUITAR

, 2008
The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air.
Antoine Chaigne, Patrick, Eliane B Écache, Gr Égoire Derveaux   +3 more
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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
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A posteriori error analysis for numerical approximations of Friedrichs systems

, 1998
The global error of numerical approximations for symmetric positive systems in the sense of Friedrichs is decomposed into a locally created part and a propagating component.
J.A. Mackenzie, G. Warnecke, E. Süli, P. Houston   +3 more
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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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