Results 21 to 30 of about 147 (135)

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, Joly, Patrick, Tsogka, Chrysoula, Bécache, Éliane   +5 more
core   +1 more source

Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case

, 1996
. The waveform relaxation method and its multigrid acceleration are studied as solution procedures for the system of ordinary differential equations obtained by finite element discretisation of a linear parabolic initial boundary value problem.
Stefan Vandewalle, Jan Janssen, Janssen, Jan, Vandewalle, Stefan   +3 more
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Existence and uniqueness results of solutions for a new class of parabolic varitional inequalities related with impulse control problem

Nonlinear Engineering
In this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah, Guefaifia Rafik, Haiour Mohamed   +2 more
doaj   +1 more source

Analysis of two-grid method for second-order hyperbolic equation by expanded mixed finite element methods

Open Mathematics
In this article, we present a scheme for solving two-dimensional hyperbolic equation using an expanded mixed finite element method. To solve the resulting nonlinear expanded mixed finite element system more efficiently, we propose a two-step two-grid ...
Wang Keyan
doaj   +1 more source

An Adaptive Multilevel Approach to Parabolic Equations III.

, 1991
Part III of the paper is devoted to the construction of an adaptive FEM solver in two spatial dimensions, which is able to handle the singularly perturbed elliptic problems arising from discretization in time.
Bornemann, Folkmar A.
core   +1 more source

A reciprocal integral identity of coupled Poisson and Laplace equations in two arbitrary domains sharing a common boundary

Results in Applied Mathematics
In solving the coupled vapor and liquid unidirectional flows in micro heat pipes, we discovered numerically an integral identity. After asymptotic and polynomial expansions, the coupled flows yield two reciprocal systems of equations.
Sai Sashankh Rao, Harris Wong
doaj   +1 more source

Dual mixed hybrid finite element method : the theory and practice on a model problem. Application. [PDF]

, 2012
We present in this work the theoretical and practical aspects of the Dual Mixed Hybrid Finite Element method for solving numerically fluid-flow in porous media.
Njifenjou, Abdou; Université de Yaoundé 1
core  

New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation

Nonlinear Engineering
This article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed, Al-Harbi Mohamed Salem, Atta Ahmed Gamal   +2 more
doaj   +1 more source

High-order numerical methods with stability analysis for Caputo–Riesz fractional reaction-diffusion models in three dimensions

Demonstratio Mathematica
In this paper, we propose and study a new ternary three-dimensional fractional reaction-diffusion model. The model combines Caputo fractional derivatives in time with Riesz fractional derivatives in space.
Kosari Saeed, Guan Hao
doaj   +1 more source

Analyzing nonlinear Schrödinger equations by the complex variable element-free Galerkin method

Open Mathematics
This article proposes a complex variable element-free Galerkin (CVEFG) method for analyzing the nonlinear Schrödinger (NLS) equation. A second-order accurate scheme is presented to achieve temporal discretization and linearize the nonlinear term, and the
Liu ZhiXiu
doaj   +1 more source