A fully discrete finite element scheme for the Derrida-Lebowitz-Speer-Spohn equation [PDF]
The Derrida-Lebowitz-Speer-Spohn (DLSS) equation is a fourth order in space non-linear evolution equation. This equation arises in the study of interface fluctuations in spin systems and quantum semiconductor modelling.
Jorge Mauricio Ruiz Vera +1 more
doaj +2 more sources
ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation [PDF]
A high performance implementation of a discontinuous Galerkin discretization with explicit Runge–Kutta and arbitrary derivative (ADER) time integration schemes is presented to solve the acoustic wave equation.
S. Schoeder, W.A. Wall, M. Kronbichler
doaj +2 more sources
One acceptable technique in meshfree methods is collocation procedure based on the radial basis functions. But the mentioned technique is poor for solving problems that have shock (advection problems).
Mehdi Dehghan, Mostafa Abbaszadeh
doaj +2 more sources
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 ...
David Codony; Universitat Politècnica de Catalunya +2 more
core +2 more sources
Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case [PDF]
. 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 +3 more
core +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
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
Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
doaj +1 more source

