REPORT OF THE JAPANESE SUMMER PARTIES IN DRY VALLEYS, VICTORIA LAND, 1963-1965 : 1. ON THE EVAPORITES FOUND IN MIERS VALLEY, VICTORIA LAND, ANTARCTIC [PDF]
Reconnaissance of Lake Miers in the Dry Valley region, Victoria Land was made by a summer party supported by the U. S. National Science Foundation This report summarizes the description of occurrence and characteristics of the crystalline salt deposits ...
Tetsuya TORII +4 more
doaj +3 more sources
A Cº Interior Penalty Method for 4th order PDEs
A method to solve 4th-order PDEs using the Finite Element Method (FEM) with standard Cº elements is derived and studied. It is based on a special weak form accounting for the discontinuous derivatives of the approximation and imposing their normal ...
Codony, David +4 more
core +3 more sources
Variational analysis for simulating free‐surface flows in a porous medium
A variational formulation has been developed to solve a parabolic partial differential equation describing free‐surface flows in a porous medium. The variational finite element method is used to obtain a discrete form of equations for a two‐dimensional domain.
Shabbir Ahmed, Charles Collins
wiley +1 more source
An efficient scheme for numerical solution of Burgers’ equation using quintic Hermite interpolating polynomials [PDF]
A numerical scheme combining the features of quintic Hermite interpolating polynomials and orthogonal collocation method has been presented to solve the well-known non-linear Burgers’ equation. The quintic Hermite collocation method (QHCM) solves the non-
Inderpreet Kaur +3 more
core +1 more source
A frictionless contact problem for viscoelastic materials
We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so‐called foundation. The body is assumed to have a viscoelastic behavior that we model with the Kelvin‐Voigt constitutive law. The contact is frictionless and is modeled with the well‐known Signorini condition in a form with a zero gap function.
Mikäel Barboteu +2 more
wiley +1 more source
Hot‐pressing process modeling for medium density fiberboard (MDF)
We present a numerical solution for the mathematical modeling of the hot‐pressing process applied to medium density fiberboard. The model is based on the work of Humphrey (1982), Humphrey and Bolton (1989), and Carvalho and Costa (1998) with some modifications and extensions in order to take into account mainly the convective effects on the phase ...
Norberto Nigro, Mario Storti
wiley +1 more source
On the existence of solutions of strongly damped nonlinear wave equations
We investigate the existence and uniqueness of solutions of the following equation of hyperbolic type with a strong dissipation: utt(t,x)−(α+β(∫Ω|∇u(t,y)|2dy)γ)Δu(t,x) −λΔut(t,x)+μ|u(t,x)|q−1u(t,x)=00, x∈Ω,t≥ u(0,x)=u0(x), ut(0,x)=u1(x), x∈Ω, u|∂Ω=0 , where q > 1, λ > 0, μ ∈ ℝ, α, β ≥ 0, α + β > 0, and Δ is the Laplacian in ℝN.
Jong Yeoul Park, Jeong Ja Bae
wiley +1 more source
Finite difference approximations for a class of non‐local parabolic equations
In this paper we study finite difference procedures for a class of parabolic equations with non‐local boundary condition. The semi‐implicit and fully implicit backward Euler schemes are studied. It is proved that both schemes preserve the maximum principle and monotonicity of the solution of the original equation, and fully‐implicit scheme also ...
Yanping Lin, Shuzhan Xu, Hong-Ming Yin
wiley +1 more source
Existence and uniqueness are proved for nonlocal (in time) for solutions of linear parabolic partial differential equations. Instead of an initial condition, there is a relation connecting the initial value to values of the solution at other times. L2 error estimates are obtained for the semidiscrete approximation of the problem using finite elements ...
Dennis E. Jackson
wiley +1 more source
A 3D Reaction-Diffusion System Describing Bidomain Calcium Dynamics in Cardiac Cell [PDF]
International audienceWe are interested in modeling the interaction of calcium dynamics in a medium including sarcolemma and sarcoplasmic reticulum. The governing equations consist of a nonlinear reaction-diffusion system representing the various calcium
Karami, Fahd +5 more
core +1 more source

