[图书][B] Domain decomposition methods for the numerical solution of partial differential equations
TPA Mathew - 2008 - Springer
These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …
referred to as domain decomposition methods. It concerns divide and conquer methods for …
An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
Many numerical methods use characteristic analysis to accommodate the advective
component of transport. Such characteristic methods include Eulerian-Lagrangian methods …
component of transport. Such characteristic methods include Eulerian-Lagrangian methods …
Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
E Süli - Numerische Mathematik, 1988 - Springer
Summary The Lagrange-Galerkin method is a numerical technique for solving convection—
dominated diffusion problems, based on combining a special discretisation of the …
dominated diffusion problems, based on combining a special discretisation of the …
On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
We present a new, naturally parallelizable, accurate numerical method for the solution of
transport-dominated diffusion processes in heterogeneous porous media. For the …
transport-dominated diffusion processes in heterogeneous porous media. For the …
A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations
A fully discrete two-grid modified method of characteristics (MMOC) scheme is proposed for
nonlinear variable-order time-fractional advection–diffusion equations in two space …
nonlinear variable-order time-fractional advection–diffusion equations in two space …
[PDF][PDF] Stability of the Lagrange-Galerkin method with non-exact integration
KW Morton, A Priestley, E Suli - ESAIM: Mathematical Modelling and …, 1988 - numdam.org
Stability of the Lagrange-Galerkin method with non-exact integration Page 1 RAIRO
MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE KW MORTON A. PRIESTLEY …
MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE KW MORTON A. PRIESTLEY …
Some improved error estimates for the modified method of characteristics
CN Dawson, TF Russell, MF Wheeler - SIAM Journal on Numerical Analysis, 1989 - SIAM
Improved error estimates are derived for a finite-element modified method of characteristics
for a coupled system of partial differential equations modeling flow in porous media. These …
for a coupled system of partial differential equations modeling flow in porous media. These …
A quasi-conservative version of the semi-Lagrangian advection scheme
A Priestley - Monthly Weather Review, 1993 - journals.ametsoc.org
The semi-Lagrangian method is now, perhaps, the most widely researched algorithm in
connection with numerical weather prediction (NWP) codes. Monotonicity has been added …
connection with numerical weather prediction (NWP) codes. Monotonicity has been added …
A second order characteristic finite element scheme for convection-diffusion problems
A new characteristic finite element scheme is presented for It is of second order accuracy in
time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in …
time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in …
Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations
The paper is concerned with the unconditional stability and convergence of characteristics
type methods for the time-dependent Navier–Stokes equations. We present optimal error …
type methods for the time-dependent Navier–Stokes equations. We present optimal error …