L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]
Wang Z.
europepmc +1 more source
lifex-ep: a robust and efficient software for cardiac electrophysiology simulations. [PDF]
Africa PC +8 more
europepmc +1 more source
Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems I: A Priori Estimates
. 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
Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
: A parabolic convection-diffusion equation of the transport in porous media strongly coupled with a flow equation through a variable fluid density is studied from the point of view of the qualitative properties of numerical solution.
P. Frolkovi Č +2 more
core
Computation of Nonclassical Solutions to Hamilton-Jacobi Problems
. This paper is devoted to the construction of numerical methods for the approximation of nonclassical solutions to multidimensional Hamilton-Jacobi equations, for both scalar and vectorial problems.
Nicholas R. Ide, Pierre-alain Gremaud
core
lifex-fiber: an open tool for myofibers generation in cardiac computational models. [PDF]
Africa PC +4 more
europepmc +1 more source
Fast Algorithms for Solving High-Order Finite Element Equations for Incompressible Flow
We discuss high-order finite element methods to simulate the flow of incompressible viscous fluids. We focus on algorithms for solving the related algebraic equations efficiently using the iterated penalty method for resolving the incompressibility ...
Ridgway Scott +3 more
core
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model. [PDF]
Crisan D +4 more
europepmc +1 more source
Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms
Underresolved numerical schemes for hyperbolic conservation laws with stiff relaxation terms may generate unphysical spurious numerical results or reduce to lower order if the small relaxation time is not temporally well-resolved.
Shi Jin
core

